[SOLVED] A researcher used ANOVA and computed F =

> Earlier in the chapter, we introduced the chi-square test of independence with a study examining the relationship between personality and color preference. The following table shows the frequency distribution for a group of n = 200 students who were clas

> With a small sample, a single point can have a large effect on the magnitude of the correlation. To create the following data, we started with the scores from Problem 8 and changed the first X value from X = 3 to X = 8. a. Sketch a scatter plot and estim

> For the following scores, a. Sketch a scatter plot and estimate the value of the Pearson correlation. b. Compute the Pearson correlation.

> The scores below are a modification of the scores in Problem 6: a. Compute SS for X and Y and SP. Compare these values to your answer for part a of Problem 6. b. Compute the Pearson correlation. Compare your results to what you got for part b of Problem

> For the following scores, a. Compute SS for X and Y and SP. b. Compute the Pearson correlation.

> For the following scores, a. Sketch a scatter plot and estimate the Pearson correlation. b. Compute the Pearson correlation.

> a. A researcher computes the linear regression equation for a sample of n = 20 pairs of scores, X and Y values. If an analysis of regression is used to test the significance of the equation, what are the df values for the F-ratio? b. A researcher evaluat

> Does the regression equation from Problem 25 account for a significant portion of the variance in the Y scores? Use a = .05 to evaluate the F-ratio. Problem: 25

> a. One set of 10 pairs of scores, X and Y values, produces a correlation of r = 0.60. If SSY = 200, find the standard error of estimate for the regression line. b. A second set of 10 pairs of X and Y values produces a correlation of r = 0.40. If SSY = 20

> For the following set of scores, find the value of each expression:

> The regression equation is computed for a set of n = 18 pairs of X and Y values with a correlation of r = +0.50 and SSY = 48. a. Find the standard error of estimate for the regression equation. b. How big would the standard error be if the sample size we

> For the following scores: a. Find the regression equation for predicting Y from X. b. Calculate the predicted Y value for each X.

> For the following data: a. Find the regression equation for predicting Y from X. b. Calculate the Pearson correlation for these data. Use r2 and SSY to compute SSresidual and the standard error of estimate for the equation.

> For the following set of data, compute the Pearson correlation statistic and find the linear regression equation for predicting Y from X:

> In general, how is the magnitude of the standard error of estimate related to the value of the correlation?

> Briefly explain what is measured by the standard error of estimate.

> A set of n = 15 pairs of scores (X and Y values) produces a regression equation of Y⁄ = 3X + 8. Find the predicted Y value for each of the following X scores: 1, 2, 3, and 6.

> Calculate SP (the sum of products of deviations) for the following scores. Note: Both means are decimal values, so the computational formula works well.

> A set of n = 18 pairs of scores (X and Y values) has SSX = 16, SSY = 64, and SP = 20. If the mean for the X values is MX = 6 and the mean for the Y values is MY = 8: a. Calculate the Pearson correlation for the scores. b. Find the regression equation for

> Sketch a graph showing the line for the equation Y = 2X - 1. On the same graph, show the line for Y = -X + 8.

> For the following set of scores: a. Construct a stem and leaf plot. b. What is the shape of the distribution?

> Problem 13 in Chapter 10 presented data demonstrating that participants who binge-watched a television series enjoyed the show less than participants who watched the series in daily sessions. In the study, one group watched the complete television series

> In Problem 14, do the data suggest that increased learning ability caused starlings to have greater social status? Explain. Problem 14:

> It appears that there is a significant relationship between cognitive ability and social status, at least for birds. Boogert, Reader, and Laland (2006) measured social status and individual learning ability for a group of starlings. The following data re

> For a two-tailed test with a = .05, use Table B.6 to determine how large a Pearson correlation is necessary to be statistically significant for each of the following samples: a. A sample of n = 6 b. A sample of n = 12 c. A sample of n = 24

> In recent years, researchers have differentiated between two types of Internet harassment: cyberbullying and Internet trolling. In a recent study of cyber harassment, a large sample of online participants answered survey questions related to personality,

> Judge and Cable (2010) demonstrated a positive relationship between weight and income for a group of men. The following are data similar to those obtained in the study. To simplify the weight variable, the men are classified into five categories that mea

> For the following set of scores, a. Compute the Pearson correlation. b. Add 2 points to each X value and compute the correlation for the modified scores. How does adding a constant to every score affect the value of the correlation? c. Multiply each of t

> Calculate SP (the sum of products of deviations) for the following scores. Note: Both means are whole numbers, so the definitional formula works well.

> A researcher conducts an independent-measures, two-factor study with two levels of factor A and three levels of factor B, using a sample of n = 10 participants in each treatment condition. a. What are the df values for the F-ratio evaluating the main eff

> The following matrix presents the results of a two-factor study with n = 10 scores in each of the six treatment conditions. Note that one of the treatment means is missing. a. What value for the missing mean would result in no main effect for factor A? b

> Ford and Torok (2008) found that motivational signs were effective in increasing physical activity on a college campus. Signs such as “Step up to a healthier lifestyle” and “An average person burns 10 calories a minute walking up the stairs” were posted

> Suppose that a researcher was interested in the effect of caffeine on memory. She measured memory performance either immediately after studying (0-day delay) or after a 10-day delay. Half of the participants in each delay group received either a cup of d

> Eyewitnesses in jury trials are influenced by memory processes like forgetting. Jurors seem to also be influenced by instructions that encourage skepticism and the language used in eyewitness testimony. In a recent study of jury decision making (Kurinec

> The diathesis stress approach to mental illness proposes that neither environmental stress alone nor genetic factors alone are enough to produce mental illness. Instead, both environmental stress and genetic predisposition to mental illness are required

> The following table summarizes the results from a two-factor study with two levels of factor A and three levels of factor B using a separate sample of n = 8 participants in each treatment condition. Fill in the missing values. (Hint: Start with the df va

> The following table summarizes the results from a two-factor study with two levels of factor A and three levels of factor B using a separate sample of n = 5 participants in each treatment condition. Fill in the missing values. (Hint: Start with the df va

> The following results are from an independent-measures, two-factor study with n = 4 participants in each treatment condition. Use a two-factor ANOVA with a = .05 to evaluate the main effects and the interaction.

> A researcher reports an F-ratio with dfbetween = 3 and dfwithin = 40 for an independent-measures ANOVA. a. How many treatment conditions were compared in the experiment? b. How many subjects participated in the experiment? c. Use Appendix B to find the c

> A researcher uses an ANOVA to compare six treatment conditions with a sample of n = 12 in each treatment. For this analysis, find dftotal, dfbetween, and dfwithin.

> Calculate SStotal, SSbetween, and SSwithin for the following set of data:

> Your instructors, your parents, and your feelings of stress during finals week all tell you that cramming is a bad way to prepare for exams. Participants in Kornellâs (2009) research study received two sets of flash cards with vocabular

> Describe some of the reasons that group means might be different from each other in an analysis of variance. Describe some of the reasons that individual scores might be different from each other.

> An ANOVA produces an F-ratio with df = 1, 34. Could the data have been analyzed with a t test? What would be the degrees of freedom for the t statistic?

> What value is expected for the F-ratio, on average, if the null hypothesis is true in an ANOVA? Explain why.

> The following data were observed in an independent-measures study comparing three treatment conditions. a. Use an ANOVA with a = .05 to determine whether there are any significant differences among the three treatment means. Note: Because the samples are

> The following data were obtained from an independent-measures study comparing three treatment conditions. a. Calculate the sample variance for each of the three samples. b. Use an ANOVA with a = .05 to determine whether there are any significant differen

> Several factors influence the size of the F-ratio. For each of the following, indicate whether it would influence the numerator or the denominator of the F-ratio, and indicate whether the size of the F-ratio would increase or decrease. a. Increase the di

> A research report from an independent-measures study states that there are significant differences between treatments, F(4, 40) = 3.45, p < .05. a. How many treatment conditions were compared in the study? b. What was the total number of participants in

> The following values are from an independent-measures study comparing three treatment conditions. a. Compute the variance for each sample. b. Compute MSwithin, which would be the denominator of the F-ratio for an ANOVA. Because the samples are all the sa

> A research study comparing three treatment conditions produces T = 28 with n = 7 for the first treatment, T = 32 with n = 8 for the second treatment, and T = 108 with n = 9 for the third treatment. Calculate SSbetween treatments for these data.

> Weinstein, McDermott, and Roediger (2010) published an experimental study examining different techniques that students use to prepare for a test. Students read a passage, knowing that they would have a quiz on the material. After reading the passage, stu

> For the following set of scores: a. Place the scores in a frequency distribution table. Include columns for proportion and percentage in your table. b. n = ?

> A research study comparing three treatment conditions produces T = 20 with n = 4 for the first treatment, T = 10 with n = 5 for the second treatment, and T = 30 with n = 6 for the third treatment. Calculate SSbetween treatments for these data.

> Suppose that you conduct three different t-tests to analyze the results of an experiment with three independent samples. Each individual t-test uses a = .05. What is the probability of a Type 1 error occurring in any of the hypothesis tests? Is it greate

> Open positions in the highest-paying jobs, the best internships, and the most prestigious graduate programs can attract many applicants. Initial evaluations of applications are usually based on the applicantâs rÃ©sumÃ

> The following data were obtained from an independent- measures research study comparing three treatment conditions. Use an ANOVA with a = .05 to determine whether there are any significant mean differences among the treatments.

> A developmental psychologist is examining the development of language skills from age 2 to age 4. Three different groups of children are obtained, one for each age, with n = 16 children in each group. Each child is given a language-skills assessment test

> The following summary table presents the results from an ANOVA comparing five treatment conditions with n = 5 participants in each condition. Complete all missing values. (Hint: Start with the df column.)

> A researcher conducts an experiment comparing three treatment conditions with a separate sample of n = 6 in each treatment. An ANOVA is used to evaluate the data, and the results of the ANOVA are presented in the following table. Complete all missing val

> The following values are from an independent-measures study comparing three treatment conditions. a. Compute the variance for each sample. b. Compute MSwithin, which would be the denominator of the F-ratio for an ANOVA.

> The following values are from an independent-measures study comparing three treatment conditions. a. Compute the variance for each sample. b. Compute MSwithin, which would be the denominator of the F-ratio for an ANOVA. Because the samples are all the sa

> A researcher reports an F-ratio with df = 4, 62 from an independent-measures research study. a. How many treatment conditions were compared in the study? b. What was the total number of participants in the study? c. Use Appendix B to find the critical va

> A local fast-food restaurant normally sells coffee in three sizesâsmall, medium, and largeâat three different prices. Recently they had a special sale, charging only $1 for any sized coffee. During the sale, an employe

> A sample of n = 12 individuals participates in a repeated-measures study that produces a sample mean difference of MD = 7.25 with SS = 396 for the difference scores. a. Calculate the standard deviation for the sample of difference scores. Briefly explain

> A researcher conducts an experiment comparing two treatment conditions with 22 scores in each treatment condition. a. If an independent-measures design is used, how many subjects are needed for the experiment? b. If a repeated-measures design is used, ho

> What is the defining characteristic of a repeated-measures or within-subjects research design?

> For the each of the following studies determine whether a repeated-measures t test is the appropriate analysis. Explain your answers. a. A researcher is examining the effect of violent video games on behavior by comparing aggressive behaviors for one gro

> Two separate samples, each with n = 9 individuals, receive different treatments. After treatment, the first sample has SS = 546 and the second has SS = 606. a. Find the pooled variance for the two samples. b. Compute the estimated standard error for the

> One sample has SS = 72 and a second sample has SS = 24. a. If n = 7 for both samples, find each of the sample variances and compute the pooled variance. Because the samples are the same size, you should find that the pooled variance is exactly halfway be

> For each of the following, assume that the two samples are obtained from populations with the same mean, and calculate how much difference should be expected, on average, between the two sample means. a. Each sample has n = 7 scores with s2 = 142 for the

> Two samples are selected from the same population. For each of the following, calculate how much difference is expected, on average, between the two sample means. a. One sample has n = 6, the second has n = 10, and the pooled variance is 135. b. One samp

> As noted on page 332, when the two population means are equal, the estimated standard error for the independent- measures t test provides a measure of how much difference to expect between two sample means. For each of the following situations, assume th

> Describe what is measured by the estimated standard error in the bottom of the independent-measures t statistic.

> A research study comparing alcohol use for college students in the United States and Canada reports that more Canadian students drink but American students drink more (Kuo, Adlaf, Lee, Gliksman, Demers, & Wechsler, 2002). Is this study an example of an e

> Describe the homogeneity of variance assumption and explain why it is important for the independent measures t test.

> Describe the basic characteristics that define an independent-measures, or a between-subjects, research study.

> Find the t values that form the boundaries of the critical region for a two-tailed test with α = .05 for each of the following sample sizes: a. n = 6 b. n = 12 c. n = 48 d. Repeat parts a–c assuming a one-tailed test, α = .05. e. Repeat parts a–c assumin

> Explain why t distributions tend to be flatter and more spread out than the normal distribution.

> The following sample of n = 7 scores was obtained from a population with unknown parameters. Scores: 2, 18, 15, 5, 15, 8, 7. a. Compute the sample mean and variance. (Note: These are descriptive values that summarize the sample data.) b. Compute the esti

> Find the estimated standard error for the sample mean for each of the following samples. a. n = 9 with SS = 1,152 b. n = 16 with SS = 540 c. n = 25 with SS = 600

> A sample of n = 25 scores has a mean of M = 200 and a variance of s2 = 100. a. Explain what is measured by the sample variance. b. Compute the estimated standard error for the sample mean and explain what is measured by the standard error.

> Suppose that a researcher is interested in whether an exercise improves intelligence. The researcher randomly selects 100 participants, assigns them to an exercise program, and measures intelligence at the end of the exercise program. The measurement of

> Under what circumstances is a t statistic used instead of a z-score for a hypothesis test?

> Explain how each of the following influences the value of the z-score in a hypothesis test. a. Increasing the size of the treatment effect. b. Increasing the population standard deviation. c. Increasing the number of scores in the sample.

> The international affective picture system is a collection of images that differ in their emotional content. The system contains some images that evoke fear in participants (e.g., a photograph of a spider), some images that have little emotional content

> If the alpha level is changed from α = .05 to α = .01: a. What happens to the boundaries for the critical region? b. What happens to the probability of a Type I error?

> Define the alpha level and the critical region for a hypothesis test.

> Suppose that a researcher is interested in the effect of a new college preparation course on scores for a standardized critical thinking test with a population mean of μ = 20. Students receive training in the course and later receive the standardized tes

> Explain how the power of a hypothesis test is influenced by each of the following. Assume that all other factors are held constant. a. Increasing the alpha level from .01 to .05. b. Changing from a one-tailed test to a two-tailed test. c. Increasing effe

> Identify the four steps of a hypothesis test as presented in this chapter.

> Suppose that a treatment effect increases both the mean and the standard deviation of a measurement. Can a hypothesis test with z be conducted? Explain your answer.

> Does a hypothesis test allow a researcher to claim that an alternative hypothesis is true? Explain your answer.

> Suppose that a professor randomly assigns students to study groups of n = 4 students. The final exam in the professor’s class has a mean of μ = 75 and a standard deviation of σ = 10. What is the expected value of the mean and the standard deviation of th

> For a sample of n = 36 scores, what is the value of the population standard deviation (s) necessary to produce each of the following standard error values? a. σ M = 12 points b. σ M = 3 points c. σ M = 2 points

> A random sample is selected from a population with a standard deviation of σ = 18. a. On average, how much difference should there be between the sample mean and the population mean for a random sample of n = 4 scores from this population? b. On average,

> Gentile, Lynch, Linder, and Walsh (2004) surveyed more than 600 eighth- and ninth-grade students regarding their gaming habits and other behaviors. Their results showed that the adolescents who experienced more video game violence were also more hostile

> Under what circumstances is the distribution of sample means guaranteed to be a normal distribution?

Question: A researcher used ANOVA and computed F =