= 50 and = 5
> The mean incubation time of fertilized chicken eggs kept at 100.5°F in a still-air incubator is 21 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Source: University of Illinois Extension
> The 38th percentile
> The 81st percentile
> The 90th percentile
> The 9th percentile
> P(56 ≤ X < 66)
> P(38 < X ≤ 55)
> P(40 ≤ X ≤ 49)
> P(55 ≤ X ≤ 70)
> To determine customer opinion of its boarding policy, Southwest Airlines randomly selects 60 flights during a certain week and surveys all passengers on the flights.
> P(56 < X < 68)
> P(40 < X < 65)
> P(X ≤ 58)
> P(X ≤ 45)
> P(X > 65)
> P(X > 35)
> z0.15
> z0.025
> z0.02
> z0.01
> To determine the prevalence of human growth hormone (HGH) use among high school varsity baseball players, the State Athletic Commission randomly selects 50 high schools. All members of the selected high schools’ varsity baseball teams are tested for HGH.
> Find the z-scores that separate the middle 94% of the distribution from the area in the tails of the standard normal distribution.
> Find z-scores that separate the middle 99% of the distribution from the area in the tails of the standard normal distribution.
> Find the z-score such that the area under the standard normal curve to its right is 0.35.
> Find the z-score such that the area under the standard normal curve to its right is 0.25.
> Find the z-score such that the area under the standard normal curve to its left is 0.2.
> Find the z-score such that the area under the standard normal curve to its left is 0.1.
> Determine the total area under the standard normal curve (a) to the left of z = -2.94 or to the right of z = 2.94 (b) to the left of z = -1.68 or to the right of z = 3.05 (c) to the left of z = -0.88 or to the right of z = 1.23
> Determine the total area under the standard normal curve (a) to the left of z = -2 or to the right of z = 2 (b) to the left of z = -1.56 or to the right of z = 2.56 (c) to the left of z = -0.24 or to the right of z = 1.20
> Determine the area under the standard normal curve that lies between (a) z = -2.55 and z = 2.55 (b) z = -1.67 and z = 0 (c) z = -3.03 and z = 1.98
> Determine the area under the standard normal curve that lies between (a) z = -2.04 and z = 2.04 (b) z = -0.55 and z = 0 (c) z = -1.04 and z = 2.76
> To estimate the percentage of defects in a recent manufacturing batch, a quality-control manager at Intel selects every 8th chip that comes off the assembly line starting with the 3rd until she obtains a sample of 140 chips.
> Determine the area under the standard normal curve that lies to the right of (a) z = -3.49 (b) z = -0.55 (c) z = 2.23 (d) z = 3.45
> Determine the area under the standard normal curve that lies to the right of (a) z = -3.01 (b) z = -1.59 (c) z = 1.78 (d) z = 3.11
> Determine the area under the standard normal curve that lies to the left of (a) z = -3.49 (b) z = -1.99 (c) z = 0.92 (d) z = 2.90
> The area under a normal curve can be interpreted as a_____ or_____ .
> What are the properties of the normal density curve?
> A_____ is an equation, table, or graph used to describe reality.
> What are the two properties that a probability density function must satisfy?
> Researchers conducted a prospective cohort study in which male patients who had an out-of-hospital cardiac arrest were submitted to therapeutic hypothermia (intravenous infusion of cold saline followed by surface cooling with the goal of maintaining body
> The following data represent the heights (in inches) of 80 randomly selected five-year-old females. (a) Use statistical software to construct a relative frequency histogram. Comment on the shape of the distribution. Draw a normal density curve on the rel
> In the game of golf, distance control is just as important as how far a player hits the ball. Michael went to the driving range with his range finder and hit 75 golf balls with his pitching wedge and measured the distance each ball traveled (in yards). H
> When obtaining a stratified sample, the number of individuals included within each stratum must be equal.
> Elena conducts an experiment in which she fills up the gas tank on her Toyota Camry 40 times and records the miles per gallon for each fill-up. A histogram of the miles per gallon (mpg) indicates that a normal distribution with a mean of 24.6 mpg and a s
> The lengths of human pregnancies are normally distributed with = 266 days and = 16 days. (a) The figure represents the normal curve with = 266 days and = 16 days. The area to the right of x = 280 days is 0.1908. Provide two interpretations of th
> The heights of 10-year-old males are normally distributed with mean = 55.9 inches and = 5.7 inches. (a) Draw a normal curve with the parameters labeled. (b) Shade the region that represents the proportion of 10-year- old males who are less than 46.5
> The birth weights of full-term babies are normally distributed with mean = 3400 grams and = 505 grams. Source: Based on data obtained from the National Vital Statistics Report, Vol. 48, No. 3. (a) Draw a normal curve with the parameters labeled. (b)
> The length of a 10-year- old female’s upper leg is approximately normally distributed with mean = 33.8 cm and standard deviation = 2.1 cm. Source: Vital and Health Statistics, U.S. Department of Health and Human Services. (a) Draw a normal curve with
> The length of a 4-year-old male’s upper arm is approximately normally distributed with mean = 21.8 cm and standard deviation = 2.0 cm. Source: Vital and Health Statistics, U.S. Department of Health and Human Services. (a) Draw a normal curve with the
> = 30 and = 10
>
>
> Inferences based on voluntary response samples are generally not reliable.
>
>
> One graph in the figure below represents a normal distribution with mean = 8 and standard deviation = 2. The other graph represents a normal distribution with mean = 14 and standard deviation = 2. Determine which graph is which and explain how yo
> One graph in the figure below represents a normal distribution with mean = 10 and standard deviation = 3. The other graph represents a normal distribution with mean m = 10 and standard deviation = 2. Determine which graph is which and explain how
> The relative frequency histogram on the following page represents the incubation times of a random sample of Rhode Island Red hens’ eggs.
> The relative frequency histogram represents the length of phone calls on my wife’s cell phone during the month of September.
> The relative frequency histogram represents the waiting times (in minutes) to ride the American Eagle Roller Coaster for 2000 randomly selected people on a Saturday afternoon in the summer.
> The relative frequency histogram represents the birth weights (in grams) of babies whose term was 36 weeks.
> The reaction time X (in minutes) of a certain chemical process follows a uniform probability distribution with / (a) Draw the graph of the density curve. (b) What is the probability that the reaction time is between 6 and 8 minutes? (c) What is the prob
> The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution. (a)Draw the graph of the uniform density function. (b) What is the probabilit
> When conducting a cluster sample, it is better to have fewer clusters with more individuals when the clusters are heterogeneous.
> Find the probability that your friend is no more than 5 minutes late.
> Find the probability that your friend is at least 20 minutes late.
> (a) Find the probability that your friend is between 15 and 25 minutes late. (b) It is 10 A.M. There is a 90% probability your friend will arrive within the next ___ minutes.
> (a) Find the probability that your friend is between 5 and 10 minutes late. (b) It is 10 A.M. There is a 40% probability your friend will arrive within the next ___ minutes.
>
>
>
>
>
>
> A simple random sample is always preferred because it obtains the same information as other sampling plans but requires a smaller sample size.
> (a) A binomial experiment is performed a fixed number of times. Each repetition of the experiment is called a_____ . (b) For each repetition of a binomial experiment, there are two mutually exclusive outcomes:____ or_____ .
> State the criteria for a binomial probability experiment.
> When can the Empirical Rule be used to identify unusual results in a binomial experiment? Why can the Empirical Rule be used to identify results in a binomial experiment?
> Explain how the value of p, the probability of success, affects the shape of the distribution of a binomial random variable.
> Explain how the value of n, the number of trials in a binomial experiment, affects the shape of the distribution of a binomial random variable.
> Explain what “success” means in a binomial probability experiment.
> One measure of successful investing is being able to “beat the market.” To beat the market in any given year, an investor must earn a rate of return greater than the rate of return of some market basket of stocks, such as the Dow Jones Industrial Average
> Toxic Epidermal Necrolysis (TEN), also known as Lyell’s syndrome, is a life- threatening disease characterized by blisters that cover the skin and extensive peeling off of skin. In a double-blind, randomized, placebo- controlled study of the effects of a
> The negative binomial probability distribution can be used to compute the probability of the random variable X, the number of trials necessary to observe r successes of a binomial experiment. The probability distribution function is given by Consider a r
> A probability distribution for the random variable X, the number of trials until a success is observed, is called the geometric probability distribution. It has the same criteria as the binomial distribution (see page 313), except that the number of tria
> When taking a systematic random sample of size n, every group of size n from the population has the same chance of being selected.
> According to the High School Athletics Participation Survey, approximately 55% of students enrolled in high schools participate in athletic programs. You are performing a study of high school students and would like at least 11 students in the study t
> Historically, the probability that a passenger will miss a flight is 0.0995. Source: Passenger-Based Predictive Modeling of Airline No-show Rates by Richard D. Lawrence, Se June Hong, and Jacques Cherrier. Airlines do not like flights with empty seats, b
> In an election for President of the United States, a pollster wishes to predict the winner of the popular vote. She will do this by taking a random sample of 1000 voters and ask each to disclose who he/she will vote for. Assume the election is a dichotom
> The following excerpt is from the Racial Profiling Data Collection Resource Center. In 2006, the New York City Police Department stopped a half- million pedestrians for suspected criminal involvement. Raw statistics for these encounters suggest large rac
> In May, 2000, the Gallup Organization reported that 11% of adult Americans had a great deal of trust and confidence in the federal government handling domestic issues. Suppose a survey of a random sample of 1100 adult Americans finds that 84 have a great
> In March 1995, The Harris Poll reported that 80% of parents spank their children. Suppose a recent poll of 1030 adult Americans with children finds that 781 indicated that they spank their children. If we assume parents’ attitude toward spanking has not
> Clarinex-D is a medication whose purpose is to reduce the symptoms associated with a variety of allergies. In clinical trials of Clarinex-D, 5% of the patients in the study experienced insomnia as a side effect. (a) If 240 users of Clarinex-D are randoml
> In the Healthy Handwashing Survey conducted by Bradley Corporation, it was found that 64% of adult Americans operate the flusher of toilets in public restrooms with their foot. (a) If 500 adult Americans are randomly selected, how many would we expect t
> In a recent poll, the Gallup Organization found that 45% of adult Americans believe that the overall state of moral values in the United States is poor. (a) Compute the mean and standard deviation of the random variable X, the number of adults who believ
> According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 100 flights are randomly selected. (a) Compute the mean and standard deviation of the random variable X, the number of on-time flights in
> A(n)_____sample is obtained by dividing the population into homogeneous groups and randomly selecting individuals from each group.
> According to paint manufacturer DuPont, 6% of all cars worldwide are red. In the Sullivan Statistics Survey, of 175 respondents, 17, or 9.7%, indicated the color of their car is red. Determine if the results of the Sullivan Survey contradict those of DuP
> Twelve jurors are randomly selected from a population of 3 million residents. Of these 3 million residents, it is known that 45% are Hispanic. Of the 12 jurors selected, 2 are Hispanic. (a) What proportion of the jury described is Hispanic? (b) If 12 jur
> According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will cover his or her mouth with a tissue, handkerchief, or elbow (the method recommended by public health officials) when sneezing is
