Assume the sampling distribution of sample proportions is a normal distribution. About 74% of the residents in a town say that they are making an effort to conserve water or electricity. One hundred ten residents are randomly selected. What is the probability that the sample proportion making an effort to conserve water or electricity is greater than 80%? Interpret your result.
> Determine whether the distribution is a probability distribution. If it is not a probability distribution, explain why. The random variable x represents the number of classes in which a student is enrolled in a given semester at a university. 1 3 5 P
> Find the margin of error for the values of c, σ, and n. c = 0.90, σ = 2.9, n = 50
> Find the margin of error for the values of c, σ, and n. c = 0.95, σ = 5.2, n = 30
> Use the values on the number line to find the sampling error. I = 46.56 u = 48.12 46 47 48 49
> Use the values on the number line to find the sampling error. u = 24.67 I= 26.43 24 25 26 27
> Use the values on the number line to find the sampling error. µ = 8.76 I = 9.5 +++++X 8.6 8.8 9.0 9.2 9.4 9.6 9.8
> When estimating a population mean, are you more likely to be correct when you use a point estimate or an interval estimate? Explain your reasoning.
> Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability. P(x < 25)
> Match the binomial probability statement with its corresponding normal distribution probability statement (a)–(d) after a continuity correction. P(x < 109) a. P(x > 109.5) b. P(x < 108.5) c. P(x < 109.5) d. P(x > 108.5)
> Match the binomial probability statement with its corresponding normal distribution probability statement (a)–(d) after a continuity correction. P(x ≤ 109) a. P(x > 109.5) b. P(x < 108.5) c. P(x < 109.5) d. P(x > 108.5)
> Match the binomial probability statement with its corresponding normal distribution probability statement (a)–(d) after a continuity correction. P(x ≥ 109) a. P(x > 109.5) b. P(x < 108.5) c. P(x < 109.5) d. P(x > 108.5)
> Determine whether the distribution is a probability distribution. If it is not a probability distribution, explain why. The random variable x represents the number of tickets a police officer writes out each shift. 1 2 3 4 5 P(x) 0.09 0.23 0.29 0.16
> Match the binomial probability statement with its corresponding normal distribution probability statement (a)–(d) after a continuity correction. P(x > 109) a. P(x > 109.5) b. P(x < 108.5) c. P(x < 109.5) d. P(x > 108.5)
> The sample size n, probability of success p, and probability of failure q are given for a binomial experiment. Determine whether you can use a normal distribution to approximate the distribution of x. n = 20, p = 0.65, q = 0.35
> A drug manufacturer claims that a drug cures a rare skin disease 75% of the time. The claim is checked by testing the drug on 100 patients. If at least 70 patients are cured, then this claim will be accepted. Find the probability that the claim will be a
> A drug manufacturer claims that a drug cures a rare skin disease 75% of the time. The claim is checked by testing the drug on 100 patients. If at least 70 patients are cured, then this claim will be accepted. Find the probability that the claim will be r
> The figure shows the results of a survey of U.S. adults ages 33 to 51 who were asked whether they participated in a sport. Seventy percent of U.S. adults ages 33 to 51 said they regularly participated in at least one sport, and they gave their favorite s
> The sample size n, probability of success p, and probability of failure q are given for a binomial experiment. Determine whether you can use a normal distribution to approximate the distribution of x. n = 18, p = 0.90, q = 0.10
> The figure shows the results of a survey of U.S. adults ages 33 to 51 who were asked whether they participated in a sport. Seventy percent of U.S. adults ages 33 to 51 said they regularly participated in at least one sport, and they gave their favorite s
> A survey of U.S. adults found that 8% believe the biggest problem in schools today is poor teaching. You randomly select a sample of U.S. adults. Find the probability that more than 100 U.S. adults believe the biggest problem in schools today is poor tea
> About 3.3% of hourly paid U.S. workers earn the prevailing minimum wage or less. A grocery chain offers discount rates to companies that have at least 30 employees who earn the prevailing minimum wage or less. Find the probability that each company will
> Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distri
> a. construct a probability distribution, and b. graph the probability distribution using a histogram and describe its shape. The number of hours students in a college class slept the previous night 7 8 Hours 4 5 9 10 Students
> Thirty-six percent of U.S. adults have postponed medical checkups or procedures to save money. You randomly select nine U.S. adults. Find the probability that the number of U.S. adults who have postponed medical checkups or procedures to save money is a
> Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distri
> Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distri
> Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distri
> Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distri
> Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distri
> Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distri
> The sample size n, probability of success p, and probability of failure q are given for a binomial experiment. Determine whether you can use a normal distribution to approximate the distribution of x. n = 15, p = 0.70, q = 0.30
> Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distri
> A binomial experiment is given. Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why. Sixty-five percent of parents of teenagers have ta
> A binomial experiment is given. Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why. In a recent year, alcohol-impaired driving was the
> a. construct a probability distribution, and b. graph the probability distribution using a histogram and describe its shape. The number of hits per game played by a Major League Baseball player Hits 0 1 2 3 4 5 Games 29 62 33
> Write the binomial probability and the normal probability for the shaded region of the graph. Find the value of each probability and compare the results. P(x) 0.24 n = 12 p = 0.5 0.20 0.16 0.12 0.08 0.04 0 2 4 6 8 10 12
> Write the binomial probability and the normal probability for the shaded region of the graph. Find the value of each probability and compare the results. P(x) 0.24 n= 16 0.20 p = 0.4| 0.16 0.12 0.08 0.04 0 2 4 6 8 10 12 14 16
> Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability. P(55 < x < 60)
> Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability. P(x ≤ 150)
> Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability. P(x > 65)
> Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability. P(x = 33)
> Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability. P(x ≥ 110)
> The sample size n, probability of success p, and probability of failure q are given for a binomial experiment. Determine whether you can use a normal distribution to approximate the distribution of x. n = 24, p = 0.85, q = 0.15
> The graph of a population distribution is shown with its mean and standard deviation. Random samples of size 100 are drawn from the population. Determine which of the figures labeled (a)–(c) would most closely resemble the sampling dist
> Determine whether the statement is true or false. If it is false, rewrite it as a true statement. If the sample size is at least 30, then you can use z-scores to determine the probability that a sample mean falls in a given interval of the sampling distr
> Determine whether the random variable x is discrete or continuous. Explain. Let x represent the weight of a truck at a weigh station.
> Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution is normal only when the population is normal.
> Determine whether the statement is true or false. If it is false, rewrite it as a true statement. As the sample size increases, the standard deviation of the distribution of sample means increases.
> Determine whether the statement is true or false. If it is false, rewrite it as a true statement. As the sample size increases, the mean of the distribution of sample means increases.
> Assume the sampling distribution of sample proportions is a normal distribution. About 63% of the residents in a town are in favor of building a new high school. One hundred five residents are randomly selected. What is the probability that the sample pr
> Determine whether the finite correction factor should be used. If so, use it in your calculations when you find the probability. In a sample of 100 eruptions of the Old Faithful geyser at Yellowstone National Park, the mean interval between eruptions was
> A population has a mean µ and a standard deviation σ. Find the mean and standard deviation of the sampling distribution of sample means with sample size n. µ = 1275, σ = 6, n = 1000
> Determine whether the finite correction factor should be used. If so, use it in your calculations when you find the probability. In a sample of 1000 fines issued by the city of Toronto for parking infractions, the mean fine was $47.12 and the standard de
> The weights of ice cream cartons are normally distributed with a mean weight of 10 ounces and a standard deviation of 0.5 ounce. a. What is the probability that a randomly selected carton has a weight greater than 10.21 ounces? b. You randomly select 2
> The lengths of lumber a machine cuts are normally distributed, with a mean of 96 inches and a standard deviation of 0.5 inch. a. What is the probability that a randomly selected board cut by the machine has a length greater than 96.25 inches? b. You ra
> Determine whether the random variable x is discrete or continuous. Explain. Let x represent the number of pumps in use at a gas station.
> A machine is set to fill milk containers with a mean of 64 ounces and a standard deviation of 0.11 ounce. A random sample of 40 containers has a mean of 64.05 ounces. The machine needs to be reset when the mean of a random sample is unusual. Does the mac
> A machine is set to fill paint cans with a mean of 128 ounces and a standard deviation of 0.2 ounce. A random sample of 40 cans has a mean of 127.9 ounces. The machine needs to be reset when the mean of a random sample is unusual. Does the machine need t
> Assume that the carbon dioxide emissions in Exercise 32 are normally distributed. Are you more likely to randomly select 1 country with carbon dioxide emissions less than 30 metric tons or to randomly select a sample of 15 countries with mean carbon diox
> Assume that the childhood asthma prevalences in Exercise 31 are normally distributed. Are you more likely to randomly select 1 city with childhood asthma prevalence less than 3.2% or to randomly select a sample of 10 cities with a mean childhood asthma p
> Find the indicated probability and interpret the results. The mean per capita carbon dioxide emissions in 58 industrialized countries over a 22-year period is 25.5 metric tons. A random sample of 44 countries is selected. What is the probability that the
> Find the indicated probability and interpret the results. From 1871 through 2016, the mean return of the Standard & Poor’s 500 was 10.72%. A random sample of 38 years is selected from this population. What is the probability that the mean return for the
> Find the indicated probability and interpret the results. From 1871 through 2016, the mean return of the Standard & Poor’s 500 was 10.72%. A random sample of 38 years is selected from this population. What is the probability that the mean return for the
> A population has a mean µ and a standard deviation σ. Find the mean and standard deviation of the sampling distribution of sample means with sample size n. µ = 790, σ = 48, n = 250
> Find the indicated probability and interpret the results. From 1975 through 2016, the mean gain of the Dow Jones Industrial Average was 456. A random sample of 32 years is selected from this population. What is the probability that the mean gain for the
> Repeat Exercise 20 for samples of size 72 and 108. What happens to the mean and the standard deviation of the distribution of sample means as the sample size increases?
> Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine whether the events are unusual. If convenient, use a table or technology to find the probabilities. Eighty-two perce
> Repeat Exercise 19 for samples of size 40 and 60. What happens to the mean and the standard deviation of the distribution of sample means as the sample size increases?
> Find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distribution. The annual salary for clinical pharmacists is normally distributed, with a mean of about $111,000 and a standar
> Find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distribution. The annual salary for senior-level chemical engineers is normally distributed, with a mean of about $132,000 an
> Find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distribution. The amounts of cold water for patient consumption in hospitals in Spain are normally distributed, with a mean o
> Find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distribution. A water footprint is a measure of the appropriation of fresh water. The per capita water footprint in the Unite
> Find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distribution. The monthly growing season precipitation across villages in Tanzania is normally distributed, with a mean of 87
> Find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distribution. The monthly growing season temperatures across villages in Tanzania are normally distributed, with a mean of 23
> Find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distribution. The scores for females on the critical reading portion of the SAT in 2016 are normally distributed, with a mean
> A population has a mean µ and a standard deviation σ. Find the mean and standard deviation of the sampling distribution of sample means with sample size n. µ = 45, σ = 15, n = 100
> Find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distribution. The scores for males on the critical reading portion of the SAT in 2016 are normally distributed, with a mean o
> Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine whether the events are unusual. If convenient, use a table or technology to find the probabilities. During a 10-year
> The population mean and standard deviation are given. Find the indicated probability and determine whether the given sample mean would be considered unusual. For a random sample of n = 36, find the probability of a sample mean being less than 12,750 or g
> The population mean and standard deviation are given. Find the indicated probability and determine whether the given sample mean would be considered unusual. For a random sample of n = 45, find the probability of a sample mean being greater than 551 when
> The population mean and standard deviation are given. Find the indicated probability and determine whether the given sample mean would be considered unusual. For a random sample of n = 100, find the probability of a sample mean being greater than 24.3 wh
> The population mean and standard deviation are given. Find the indicated probability and determine whether the given sample mean would be considered unusual. For a random sample of n = 64, find the probability of a sample mean being less than 24.3 when µ
> A population and sample size are given. a. Find the mean and standard deviation of the population. b. List all samples (with replacement) of the given size from the population and find the mean of each. c. Find the mean and standard deviation of the s
> A population and sample size are given. a. Find the mean and standard deviation of the population. b. List all samples (with replacement) of the given size from the population and find the mean of each. c. Find the mean and standard deviation of the s
> A population and sample size are given. a. Find the mean and standard deviation of the population. b. List all samples (with replacement) of the given size from the population and find the mean of each. c. Find the mean and standard deviation of the s
> A population and sample size are given. a. Find the mean and standard deviation of the population. b. List all samples (with replacement) of the given size from the population and find the mean of each. c. Find the mean and standard deviation of the s
> The graph of a population distribution is shown with its mean and standard deviation. Random samples of size 100 are drawn from the population. Determine which of the figures labeled (a)–(c) would most closely resemble the sampling dist
> A population has a mean µ and a standard deviation σ. Find the mean and standard deviation of the sampling distribution of sample means with sample size n. µ = 150, σ = 25, n = 50
> Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine whether the events are unusual. If convenient, use a table or technology to find the probabilities. In a recent seas
> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. P15
> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. 0.0046
> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. 0.94
> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. 0.85
> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. 0.05
> In a large section of a history class, the points for the final exam are normally distributed, with a mean of 72 and a standard deviation of 9. Grades are assigned according to the rule below. • The top 10% receive an A. â€
> A vending machine dispenses coffee into an eight-ounce cup. The amounts of coffee dispensed into the cup are normally distributed, with a standard deviation of 0.03 ounce. You can allow the cup to overflow 1% of the time. What amount should you set as th
> You sell a brand of automobile tire that has a life expectancy that is normally distributed, with a mean life of 30,000 miles and a standard deviation of 2500 miles. You want to give a guarantee for free replacement of tires that do not wear well. You ar
> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. 0.7995
> The weights of bags of baby carrots are normally distributed, with a mean of 32 ounces and a standard deviation of 0.36 ounce. Bags in the upper 4.5% are too heavy and must be repackaged. What is the most a bag of baby carrots can weigh and not need to b
> Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine whether the events are unusual. If convenient, use a table or technology to find the probabilities. Thirty-six perce
