2.99 See Answer

Question: Refer to Exercise 10.50 and find


Refer to Exercise 10.50 and find a 98% confidence interval for the difference between the mean amount of food wasted for lunches before recess and that for lunches after recess.

Data from Exercise 10.50:
E. Bergman et al. conducted a study to determine, among other things, the impact that scheduling recess before or after the lunch period has on wasted food for students in grades three through five. Results were published in the online article “The Relationship of Meal and Recess Schedules to Plate Waste in Elementary Schools” (Journal of Child Nutrition and Management, Vol. 28, Issue 2). Summary statistics for the amount of food wasted, in grams, by randomly selected students are presented in the following table.



Refer to Exercise 10.50 and find a 98% confidence -1

At the 1% significance level, do the data provide sufficient evidence to conclude that, in grades three through five, the mean amount of food wasted for lunches before recess exceeds that for lunches after recess?


> We conducted a non-pooled t-test, at the 5% significance level, to decide whether the mean operative time is less with the dynamic system than with the static system. Use the technology of your choice to perform the following tasks. a. Using a pooled t-t

> In the article “Trophic Interaction Cycles in Tundra Ecosystems and the Impact of Climate Change”, R. Ims and E. Fuglei provided an overview of animal species in the northern tundra. One threat to the snow goose in arctic Canada is the lemming. Snowy owl

> You conducted a non-pooled t-test to decide whether the mean number of acute postoperative days spent in the hospital is smaller with the dynamic system than with the static system. Use the technology of your choice to perform the following tasks. a. Usi

> A mutual fund is a professionally managed investment that can be sold to the general public. Mutual funds can be specialized into different categories such as healthcare-related or technology-related mutual funds. The following table lists the 3-month ra

> L. Grossback et al. examined mandate perceptions and their causes in the paper “Comparing Competing Theories on the Causes of Mandate Perceptions” (American Journal of Political Science, Vol. 49, Issue 2, pp. 406–419). The following are data on the perce

> In the article “Sleep Apnea in Adults With Traumatic Brain Injury: A Preliminary Investigation” (Archives of Physical Medicine and Rehabilitation, Vol. 82, Issue 3, pp. 316– 321), J. Webster et al. investigated sleep-related breathing disorders in adults

> Refer to Exercise 10.86 and find a 99% confidence interval for the difference between the mean wing lengths of the two subspecies. Data from Exercise 10.86: D. Cristol et al. published results of their studies of two subspecies of dark-eyed juncos in th

> Refer to Exercise 10.85 and determine a 98% confidence interval for the difference between the mean dopamine activities of psychotic and nonpsychotic patients. Data from Exercise 10.85: Previous research has suggested that changes in the activity of dop

> Refer to Exercise 10.84 and find a 90% confidence interval for the difference between the mean heart rates of urban bus drivers in Stockholm in the two environments. Data from Exercise 10.84: An intervention program designed by the Stockholm Transit Dis

> The primary concern is deciding whether the mean of Population 1 is less than the mean of Population 2. a. Determine the null and alternative hypotheses. b. Classify the hypothesis test as two tailed, left tailed, or right tailed.

> Refer to Exercise 10.83 and find a 90% confidence interval for the difference between the mean numbers of acute postoperative days in the hospital with the dynamic and static systems. Data from Exercise 10.83: The researchers also obtained the following

> Determine a 98% confidence interval for the difference, μ1 − μ2, between the mean sizes of malignant and benign phyllodes tumors.

> Old Faithful is a geyser in Yellowstone National Park that erupts at relatively predictable intervals. Since 2000, the eruptions of Old Faithfull occur on average every 90 minutes. Information on the daily eruptions of Old Faithful can be found on the we

> Obtain a 90% confidence interval for the difference, μ1 − μ2, between the mean ages at arrest of East German prisoners with chronic PTSD and remitted PTSD.

> D. Cristol et al. published results of their studies of two subspecies of dark-eyed juncos in the article “Migratory Dark-Eyed Juncos, Junco Hyemalis, Have Better Spatial Memory and Denser Hippocampal Neurons than Nonmigratory Conspecifics” (Animal Behav

> Previous research has suggested that changes in the activity of dopamine, a neurotransmitter in the brain, may be a causative factor for schizophrenia. In the paper “Schizophrenia: Dopamine β-Hydroxylase Activity and Treatment Response” (Science, Vol. 21

> An intervention program designed by the Stockholm Transit District was implemented to improve the work conditions of the city’s bus drivers. Improvements were evaluated by G. Evans et al., who collected physiological and psychological data for bus driver

> The researchers also obtained the following data on the number of acute postoperative days in the hospital using the dynamic and static systems. At the 5% significance level, does the data provide sufficient evidence to conclude that the mean number of a

> Phyllodes tumors of the breast are rare tumors that represent less than one percent of growths in the breast. Researchers I. Youn et al. presented characteristics of phyllodes tumors in the article “Phyllodes Tumors of the Breast: Ultrasonographic Findin

> According to the American Psychiatric Association, posttraumatic stress disorder (PTSD) is a common psychological consequence of traumatic events that involve a threat to life or physical integrity. During the Cold War, some 200,000 people in East German

> We have provided summary statistics for independent simple random samples from two populations. In each case, use the non-pooled t-test and the non-pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence in

> The primary concern is deciding whether the mean of Population 2 is greater than the mean of Population 1. a. Determine the null and alternative hypotheses. b. Classify the hypothesis test as two tailed, left tailed, or right tailed.

> We have provided summary statistics for independent simple random samples from two populations. In each case, use the non-pooled t-test and the non-pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence in

> The Bureau of Economic Analysis gathers information on the length of stay in Europe and the Mediterranean by U.S. travelers. Data are published in Survey of Current Business. The following stem-and-leaf diagram portrays the length of stay, in days, of a

> We have provided summary statistics for independent simple random samples from two populations. In each case, use the non-pooled t-test and the non-pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence in

> We have provided summary statistics for independent simple random samples from two populations. In each case, use the non-pooled t-test and the non-pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence in

> We have provided summary statistics for independent simple random samples from two populations. In each case, use the non-pooled t-test and the non-pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence in

> We have provided summary statistics for independent simple random samples from two populations. In each case, use the non-pooled t-test and the non-pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence in

> Discuss the relative advantages and disadvantages of using pooled and non-pooled t-procedures.

> Each pair of graphs in Fig. 10.8 shows the distributions of a variable on two populations. Suppose that, in each case, you want to perform a small-sample hypothesis test based on independent simple random samples to compare the means of the two populatio

> suppose that you know that a variable is normally distributed on each of two populations. Further suppose that you want to perform a hypothesis test based on independent random samples to compare the two population means. Decide whether you would use the

> suppose that you know that a variable is normally distributed on each of two populations. Further suppose that you want to perform a hypothesis test based on independent random samples to compare the two population means. Decide whether you would use the

> suppose that you know that a variable is normally distributed on each of two populations. Further suppose that you want to perform a hypothesis test based on independent random samples to compare the two population means. Decide whether you would use the

> The primary concern is deciding whether the mean of Population 1 is greater than the mean of Population 2. a. Determine the null and alternative hypotheses. b. Classify the hypothesis test as two tailed, left tailed, or right tailed.

> A study published by E. Anionwu et al. in the British Medical Journal (Vol. 282, pp. 283–286) measured the steady-state hemoglobin levels of patients with three different types of sickle cell disease. Following is a stem-and-leaf diagram of the data.

> suppose that you know that a variable is normally distributed on each of two populations. Further suppose that you want to perform a hypothesis test based on independent random samples to compare the two population means. Decide whether you would use the

> Suppose that you want to perform a hypothesis test to compare the means of two populations, using independent simple random samples. Assume that the two distributions of the variable under consideration have the same shape, but are not normal, and both s

> Suppose that you want to perform a hypothesis test to compare the means of two populations, using independent simple random samples. Assume that the two distributions (one for each population) of the variable under consideration are normally distributed

> If the assumptions for a pooled t-interval are satisfied, the formula for a (1 − α)-level lower confidence bound for the difference, μ1 − μ2, between two population means is For a right-tailed hypothesis test at the significance level α, the null hypothe

> If the assumptions for a pooled t-interval are satisfied, the formula for a (1 − α)-level upper confidence bound for the difference, μ1 − μ2, between two population means is For a left-tailed hypothesis test at the significance level α, the null hypothes

> As we mentioned, the following relationship holds between hypothesis tests and confidence intervals: For a two-tailed hypothesis test at the significance level α, the null hypothesis H0: μ1 = μ2 will be rejected in favor of the alternative hypothesis Ha:

> In this exercise, you are to perform a computer simulation to illustrate the distribution of the pooled t-statistic, given in Key Fact. a. Simulate 1000 random samples of size 4 from a normally distributed variable with a mean of 100 and a standard devia

> The formula for the pooled variance, s2p. Show that, if the sample sizes, n1 and n2, are equal, then s2p is the mean of s21 and s22.

> In this section, we introduced the pooled t-test, which provides a method for comparing two population means. In deriving the pooled t-test, we stated that the variable cannot be used as a basis for the required test statistic because σ is unknown. Why c

> The primary concern is deciding whether the mean of Population 2 is less than the mean of Population 1. a. Determine the null and alternative hypotheses. b. Classify the hypothesis test as two tailed, left tailed, or right tailed.

> According to the National Health and Nutrition Examination Survey, published by the Centers for Disease Control and Prevention, the average cholesterol level for children between 4 and 19 years of age is 165 mg/dL. A pediatrician who tested the cholester

> An independent golf equipment testing facility compared the difference in the performance of golf balls hit off a regular 2-3/4’’ wooden tee to those hit off a 3’’ Stinger Competition golf tee. A Callaway Great Big Bertha driver with 10 degrees of loft w

> The paper “Correlations Between the Intrauterine Metabolic Environment and Blood Pressure in Adolescent Offspring of Diabetic Mothers” (Journal of Pediatrics, Vol. 136, Issue 5, pp. 587–592) by N. Cho et al. presented findings of research on children of

> Philosophical and health issues are prompting an increasing number of Taiwanese to switch to a vegetarian lifestyle. In the paper “LDL of Taiwanese Vegetarians Are Less Oxidizable than Those of Omnivores” (Journal of Nutrition, Vol. 130, pp. 1591–1596),

> Refer to Exercise 10.49 and determine a 99% confidence interval for the difference between mean spleen lengths of Nigerian males and females. Data from Exercise 10.49: O. Ehimwenma and M. Tagbo, researchers in Nigeria, were interested in how characteris

> Refer to Exercise 10.48 and determine a 95% confidence interval for the difference between last year’s mean VMTs by midwestern and southern households. Data from Exercise 10.48: Data on household vehicle miles of travel (VMT) are compiled annually by th

> Refer to Exercise 10.47 and find a 90% confidence interval for the difference between the mean reductions in PTH levels for fortified and unfortified orange juice. Data from Exercise 10.47: V. Tangpricha et al. did a study to determine whether fortifyin

> Refer to Exercise 10.46 and obtain a 98% confidence interval for the difference between the mean absolute pointing errors for males and females. Data from Exercise 10.46: In the paper “The Relation of Sex and Sense of Direction to Spatial Orientation in

> Refer to Exercise 10.45 and obtain a 90% confidence interval for the difference between the mean times served by prisoners in the fraud and firearms offense categories. Data from Exercise 10.45: The Federal Bureau of Prisons publishes data in Prison Sta

> E. Bergman et al. conducted a study to determine, among other things, the impact that scheduling recess before or after the lunch period has on wasted food for students in grades three through five. Results were published in the online article “The Relat

> The Internal Revenue Service (IRS) publishes data on adjusted gross incomes in the document Statistics of Income, Individual Income Tax Returns. The following relative-frequency histogram shows one year’s individual income tax returns for adjusted gross

> The primary concern is deciding whether the mean of Population 1 differs from the mean of Population 2. a. Determine the null and alternative hypotheses. b. Classify the hypothesis test as two tailed, left tailed, or right tailed.

> O. Ehimwenma and M. Tagbo, researchers in Nigeria, were interested in how characteristics of the spleen of residents in their tropical environment compare to those found elsewhere in the world. They published their findings in the article “Determination

> Data on household vehicle miles of travel (VMT) are compiled annually by the Federal Highway Administration and are published in National Household Travel Survey, Summary of Travel Trends. Independent random samples of 15 midwestern households and 14 sou

> V. Tangpricha et al. did a study to determine whether fortifying orange juice with Vitamin D would result in changes in the blood levels of five biochemical variables. One of those variables was the concentration of parathyroid hormone (PTH), measured in

> In the paper “The Relation of Sex and Sense of Direction to Spatial Orientation in an Unfamiliar Environment” (Journal of Environmental Psychology, Vol. 20, pp. 17–28), J. Sholl et al. published the results of examining the sense of direction of 30 male

> The Federal Bureau of Prisons publishes data in Prison Statistics on the times served by prisoners released from federal institutions for the first time. Independent random samples of released prisoners in the fraud and firearms offense categories yielde

> We have provided summary statistics for independent simple random samples from two populations. In each case, use the pooled t -test and the pooled t -interval procedure to conduct the required hypothesis test and obtain the specified confidence interval

> We have provided summary statistics for independent simple random samples from two populations. In each case, use the pooled t -test and the pooled t -interval procedure to conduct the required hypothesis test and obtain the specified confidence interval

> We have provided summary statistics for independent simple random samples from two populations. In each case, use the pooled t -test and the pooled t -interval procedure to conduct the required hypothesis test and obtain the specified confidence interval

> We have provided summary statistics for independent simple random samples from two populations. In each case, use the pooled t -test and the pooled t -interval procedure to conduct the required hypothesis test and obtain the specified confidence interval

> Polychlorinated biphenyls (PCBs), industrial pollutants, are known to be carcinogens and a great danger to natural ecosystems. As a result of several studies, PCB production was banned in the United States in 1979 and by the Stockholm Convention on Persi

> We have provided summary statistics for independent simple random samples from two populations. In each case, use the pooled t -test and the pooled t -interval procedure to conduct the required hypothesis test and obtain the specified confidence interval

> Discuss the basic strategy for performing a hypothesis test to compare the means of two populations, based on independent samples.

> We have provided summary statistics for independent simple random samples from two populations. In each case, use the pooled t -test and the pooled t -interval procedure to conduct the required hypothesis test and obtain the specified confidence interval

> We have provided summary statistics for independent simple random samples from two populations. Preliminary data analyses indicate that the variable under consideration is normally distributed on each population. Decide, in each case, whether use of the

> We have provided summary statistics for independent simple random samples from two populations. Preliminary data analyses indicate that the variable under consideration is normally distributed on each population. Decide, in each case, whether use of the

> We have provided summary statistics for independent simple random samples from two populations. Preliminary data analyses indicate that the variable under consideration is normally distributed on each population. Decide, in each case, whether use of the

> We have provided summary statistics for independent simple random samples from two populations. Preliminary data analyses indicate that the variable under consideration is normally distributed on each population. Decide, in each case, whether use of the

> Explain why sp is called the pooled sample standard deviation.

> Regarding the four conditions required for using the pooled t-procedures: a. what are they? b. how important is each condition?

> In this exercise, you are to perform a computer simulation to illustrate the sampling distribution of the difference between two sample means for independent samples. a. Simulate 1000 samples of size 12 from a normally distributed variable with a mean of

> From Player Roster, the official roster of the 2013 Super Bowl champion Baltimore Ravens, we obtained the heights, in inches, of the players on that team. A dotplot of those heights is as follows.

> To obtain the sampling distribution of the difference between two sample means for independent samples, as stated in Key Fact 10.1 on page 404, we need to know that, for independent observations, the difference of two normally distributed variables is al

> D. Cristol et al. published results of their studies of two subspecies of dark-eyed juncos in the paper “Migratory Dark-Eyed Juncos, Junco hyemalis, Have Better Spatial Memory and Denser Hippocampal Neurons Than Nonmigratory Conspecifics” (Animal Behavio

> Consider the quantities μ1, σ1, x¯1, s1, μ2, σ2, x¯2, and s2. a. Which quantities represent parameters and which represent statistics? b. Which quantities are fixed numbers and which are variables?

> An Arizona State University professor, R. Jacobowitz, Ph.D., in consultation with G. Vishteh, M.D., and other neurosurgeons obtained data on operative times, in minutes, for both a dynamic system (Z-plate) and a static system (ALPS plate). They wanted to

> Television commercials are becoming increasingly important and prevalent in presidential elections. A study by D. Lowry and M. Naser examined whether rhetoric in presidential TV commercials is different between the winners and losers. The researchers pub

> Data on household vehicle miles of travel (VMT) are compiled annually by the Federal Highway Administration and are published in National Household Travel Survey Summary of Travel Trends. A hypothesis test is to be performed to decide whether a differenc

> Contingent faculty members in higher education are non-tenure track faculty, adjuncts, postdocs, lecturers, or instructors. R. Bowden and L. Gonzalez researched whether contingent faculty members are different from tenure-track faculty members with regar

> Samples of adolescent offspring of diabetic mothers (ODM) and nondiabetic mothers (ONM) were taken by N. Cho et al. and evaluated for potential differences in vital measurements, including blood pressure and glucose tolerance. The study was published in

> Suppose you want to decide whether the mean salary of faculty in private institutions is less than the mean salary of faculty in public institutions. State the null and alternative hypotheses for that hypothesis test.

> Suppose you want to decide whether the mean salary of faculty in private institutions is greater than the mean salary of faculty in public institutions. State the null and alternative hypotheses for that hypothesis test.

> The subterranean coruro (Spalacopus cyanus) is a social rodent that lives in large colonies in underground burrows that can reach lengths of up to 600 meters. Zoologists S. Begall and M. Gallardo studied the characteristics of the burrow systems of the s

> A variable of two populations has a mean of 7.9 and a standard deviation of 5.4 for one of the populations and a mean of 7.1 and a standard deviation of 4.6 for the other population. Moreover, the variable is normally distributed on each of the two popul

> A variable of two populations has a mean of 40 and a standard deviation of 12 for one of the populations and a mean of 40 and a standard deviation of 6 for the other population. Moreover, the variable is normally distributed on each of the two population

> A variable of two populations has a mean of 7.9 and a standard deviation of 5.4 for one of the populations and a mean of 7.1 and a standard deviation of 4.6 for the other population. a. For independent samples of sizes 3 and 6, respectively, find the mea

> Define the phrase independent samples.

> A variable of two populations has a mean of 40 and a standard deviation of 12 for one of the populations and a mean of 40 and a standard deviation of 6 for the other population. a. For independent samples of sizes 9 and 4, respectively, find the mean and

> we have presented a confidence interval (CI) for the difference, μ1 − μ2, between two population means. Interpret each confidence interval. 99% CI is from −10 to 5.

> we have presented a confidence interval (CI) for the difference, μ1 − μ2, between two population means. Interpret each confidence interval. 99% CI is from −20 to 15.

> we have presented a confidence interval (CI) for the difference, μ1 − μ2, between two population means. Interpret each confidence interval. 90% CI is from 5 to 10.

> we have presented a confidence interval (CI) for the difference, μ1 − μ2, between two population means. Interpret each confidence interval. 90% CI is from −10 to −5.

> Suppose that you want to perform a hypothesis test to compare the means of two populations, using a paired sample. For each part, decide whether you would use the paired t-test, the paired Wilcoxon signed-rank test, or neither of these tests, if prelimin

> R. Reifen et al. studied various nutritional measures of Ethiopian school children and published their findings in the paper “Ethiopian-Born and Native Israeli School Children Have Different Growth Patterns” (Nutrition, Vol. 19, pp. 427–431). The study,

2.99

See Answer