[SOLVED] a. find the margin of error for

> Find the a. mean, b. variance, c. standard deviation, and d. expected value of the probability distribution. Interpret the results. The table shows the distribution of personal fouls per game for Garrett Temple in a recent NBA season. 1 2 3 4 5

> Find the mean, variance, and standard deviation of the binomial distribution for the given random variable. Interpret the results. About 13% of U.S. drivers are uninsured. You randomly select eight U.S. drivers and ask them whether they are uninsured. Th

> Find the a. mean, b. variance, c. standard deviation, and d. expected value of the probability distribution. Interpret the results. The table shows the distribution of household sizes in the United States for a recent year. 1 2. 3 4 5 6 7 P(x) 0

> A survey of adults in the United States found that 61% ate at a restaurant at least once in the past week. You randomly select 30 adults and ask them whether they ate at a restaurant at least once in the past week. a. Verify that a normal distribution c

> Seventy percent of U.S. adults anticipate major cyberattacks on public infrastructure in the next five years. You randomly select 10 U.S. adults. a. Construct a binomial distribution for the random variable x, the number of U.S. adults who anticipate ma

> A florist has 12 different flowers from which floral arrangements can be made. A centerpiece is made using four different flowers. a. How many different centerpieces can be made? b. What is the probability that the four flowers in the centerpiece are r

> The life spans of car batteries are normally distributed, with a mean of 44 months and a standard deviation of 5 months. a. Find the probability that the life span of a randomly selected battery is less than 36 months. b. Find the probability that the

> The initial pressures for bicycle tires when first filled are normally distributed, with a mean of 70 pounds per square inch (psi) and a standard deviation of 1.2 psi. a. Random samples of size 40 are drawn from this population, and the mean of each sam

> The table shows the results of a survey in which 3,405,100 public and 489,900 private school teachers were asked about their full-time teaching experience. a. Find the probability that a randomly selected private school teacher has 10 to 20 years of ful

> An auto parts seller finds that 1 in every 200 parts sold is defective. Use the geometric distribution to find the probability that a. the first defective part is the fifth part sold, b. the first defective part is the first, second, or third part sold

> Twenty-eight percent of U.S. adults think that climate scientists understand the causes of climate change very well. You randomly select 25 U.S. adults. Find the probability that the number of U.S. adults who think that climate scientists understand the

> Find the indicated area under the standard normal curve. If convenient, use technology to find the area. To the left of z = 0.12 or to the right of z = 1.72

> a. construct a binomial distribution, b. graph the binomial distribution using a histogram and describe its shape, and c. identify any values of the random variable x that you would consider unusual. Explain your reasoning. Eighty-eight percent of U.S.

> Find the indicated area under the standard normal curve. If convenient, use technology to find the area. Between z = -1.22 and z = -0.26

> Find the indicated area under the standard normal curve. If convenient, use technology to find the area. Between z = 0 and z = 2.95

> Find the indicated area under the standard normal curve. If convenient, use technology to find the area. To the right of z = -0.84

> Find the indicated area under the standard normal curve. If convenient, use technology to find the area. To the left of z = -3.08

> Find the indicated area under the standard normal curve. If convenient, use technology to find the area. To the left of z = 0.72

> The data set represents the weights (in pounds) of 10 randomly selected black bears from northeast Pennsylvania. Assume the weights are normally distributed. a. Find the sample mean and the sample standard deviation. b. Construct a 95% confidence inte

> In a survey of 2096 U.S. adults, 1740 think football teams of all levels should require players who suffer a head injury to take a set amount of time off from playing to recover. a. Find the point estimate for the population proportion. b. Construct a

> Use the standard normal distribution or the t-distribution to construct the indicated confidence interval for the population mean of each data set. Justify your decision. If neither distribution can be used, explain why. Interpret the results. a. In a r

> The data set represents the scores of 12 randomly selected students on the SAT Physics Subject Test. Assume the population test scores are normally distributed and the population standard deviation is 104. a. Find the point estimate of the population me

> Use the confidence interval to find the margin of error and the sample mean. (20.75, 24.10)

> a. construct a binomial distribution, b. graph the binomial distribution using a histogram and describe its shape, and c. identify any values of the random variable x that you would consider unusual. Explain your reasoning. Seventy-six percent of stay-

> a. Construct a 95% confidence interval for the population mean in Exercise 2. Interpret the results. b. Does it seem possible that the population mean could be greater than 12.5 miles? Explain.

> a. Construct a 90% confidence interval for the population mean in Exercise 1. Interpret the results. b. Does it seem possible that the population mean could be within 10% of the sample mean? Explain.

> The driving distances (in miles) to work of 30 people are shown in the table at the left. Assume the population standard deviation is 8 miles. Find a. the point estimate of the population mean µ and b. the margin of error for a 95% confidence interval.

> The waking times (in minutes past 5:00 a.m.) of 40 people who start work at 8:00 a.m. are shown in the table at the left. Assume the population standard deviation is 45 minutes. Find a. the point estimate of the population mean µ and b. the margin of e

> Assume the sample is from a normally distributed population and construct the indicated confidence intervals for a. the population variance Ï2 and b. the population standard deviation Ï. Interpret the results. The acceleration tim

> Assume the sample is from a normally distributed population and construct the indicated confidence intervals for a. the population variance Ï2 and b. the population standard deviation Ï. Interpret the results. The maximum wind spe

> Find the critical values x2R and x2L for the level of confidence c and sample size n. c = 0.99, n = 10

> Find the critical values x2R and x2L for the level of confidence c and sample size n. c = 0.90, n = 16

> Find the critical values x2R and x2L for the level of confidence c and sample size n. c = 0.98, n = 25

> Find the critical values x2R and x2L for the level of confidence c and sample size n. c = 0.95, n = 13

> Find the indicated binomial probabilities. If convenient, use technology or Table 2 in Appendix B. Sixty-two percent of U.S. adults get news on social media sites. You randomly select five U.S. adults. Find the probability that the number of U.S. adults

> In Exercise 25(b), would a sample size of 369 be acceptable? Explain.

> You wish to estimate, with 95% confidence, the population proportion of U.S. adults who have taken or planned to take a winter vacation in a recent year. Your estimate must be accurate within 5% of the population proportion. a. No preliminary estimate i

> In Exercise 22, does it seem possible that the population proportion could be within 1% of the point estimate? Explain.

> In Exercise 19, does it seem possible that the population proportion could equal 0.75? Explain. From Exercise 19: In a survey of 1035 U.S. adults, 745 say they want the U.S. to play a leading or major role in global affairs.

> Let p be the population proportion for the situation. a. Find point estimates of p and q, b. construct 90% and 95% confidence intervals for p, and c. interpret the results of part (b) and compare the widths of the confidence intervals. In a survey of

> You research the heights of top-rated roller coasters and find that the population mean is 160 feet. In Exercise 17, does the t-value fall between -t0.95 and t0.95?

> In a random sample of 36 top-rated roller coasters, the average height is 165 feet and the standard deviation is 67 feet. Construct a 90% confidence interval form. Interpret the results.

> Find the indicated binomial probabilities. If convenient, use technology or Table 2 in Appendix B. Eighty-eight percent of U.S. civilian full-time employees have access to medical care benefits. You randomly select nine civilian full-time employees. Find

> a. find the margin of error for the values of c, s, and n, and b. construct the confidence interval for µ using the t-distribution. Assume the population is normally distributed. c = 0.99, s = 16.5, n = 20, x = 25.2

> a. find the margin of error for the values of c, s, and n, and b. construct the confidence interval for µ using the t-distribution. Assume the population is normally distributed. c = 0.98, s = 0.9, n = 12, x = 6.8

> a. find the margin of error for the values of c, s, and n, and b. construct the confidence interval for µ using the t-distribution. Assume the population is normally distributed. c = 0.95, s = 1.1, n = 25, x = 3.5

> Find the critical value tc for the level of confidence c and sample size n. c = 0.99, n = 30

> Find the critical value tc for the level of confidence c and sample size n. c = 0.98, n = 15

> Find the critical value tc for the level of confidence c and sample size n. c = 0.95, n = 24

> Find the critical value tc for the level of confidence c and sample size n. c = 0.80, n = 10

> Determine the minimum sample size required to be 99% confident that the sample mean driving distance to work is within 2 miles of the population mean driving distance to work. Use the population standard deviation from Exercise 2.

> Determine the minimum sample size required to be 95% confident that the sample mean waking time is within 10 minutes of the population mean waking time. Use the population standard deviation from Exercise 1.

> Find the indicated binomial probabilities. If convenient, use technology or Table 2 in Appendix B. Thirty-nine percent of U.S. adults have a gun in their home. You randomly select 12 U.S. adults. Find the probability that the number of U.S. adults who ha

> Use the confidence interval to find the margin of error and the sample mean. (7.428, 7.562)

> You wish to estimate the mean winning time for Boston Marathon Women’s Open Division champions. The estimate must be within 0.13 hour of the population mean. Determine the minimum sample size required to construct a 99% confidence interval for the popula

> The winning times (in hours) for a sample of 30 randomly selected Boston Marathon Women’s Open Division champions are shown in the table at the left. a. Find the point estimate of the population mean. b. Find the margin of error for a 95% confidence l

> Refer to the data set in Exercise 3. Assume the population of times spent checking email is normally distributed. Construct a 95% confidence interval for a. the population variance and b. the population standard deviation. Interpret the results.

> In a survey of 1018 U.S. adults, 753 say that the energy situation in the United States is very or fairly serious. a. Find the point estimate for the population proportion. b. Construct a 90% confidence interval for the population proportion. Interpret

> You research the salaries of senior-level chemical engineers and find that the population mean is $131,935. In Exercise 4, does the t-value fall between -t0.95 and t0.95?

> In a random sample of 12 senior-level chemical engineers, the mean annual earnings was $133,326 and the standard deviation was $36,729. Assume the annual earnings are normally distributed and construct a 95% confidence interval for the population mean an

> The data set represents the amounts of time (in minutes) spent checking email for a random sample of employees at a company. a. Find the sample mean and the sample standard deviation. b. Construct a 90% confidence interval for the population mean. Inte

> The random variable x is normally distributed with mean µ = 18 and standard deviation σ = 7.6. Find the value of x that has 64.8% of the distribution’s area to its right.

> The random variable x is normally distributed with mean µ = 18 and standard deviation σ = 7.6. Find the value of x that has 88.3% of the distribution’s area to its left

> Find the indicated binomial probabilities. If convenient, use technology or Table 2 in Appendix B. Fifty-three percent of U.S. adults want to lose weight. You randomly select eight U.S. adults. Find the probability that the number of U.S. adults who want

> The random variable x is normally distributed with mean µ = 18 and standard deviation σ = 7.6. Find each probability. a. P(x > 20) b. P(0 < x < 5) c. P(x < 9 or x > 27)

> The mean per capita daily water consumption in a village in Bangladesh is about 83 liters per person and the standard deviation is about 11.9 liters per person. Random samples of size 50 are drawn from this population and the mean of each sample is deter

> The per capita disposable income for residents of a U.S. city in a recent year is normally distributed, with a mean of about $44,000 and a standard deviation of about $2450. Random samples of size 8 are drawn from the population and the mean of each samp

> The per capita disposable income for residents of a U.S. city in a recent year is normally distributed, with a mean of about $44,000 and a standard deviation of about $2450. Between what two values does the middle 60% of disposable incomes lie?

> The per capita disposable income for residents of a U.S. city in a recent year is normally distributed, with a mean of about $44,000 and a standard deviation of about $2450. Out of 800 residents, about how many would you expect to have a disposable incom

> The per capita disposable income for residents of a U.S. city in a recent year is normally distributed, with a mean of about $44,000 and a standard deviation of about $2450. Find the probability that the disposable income of a resident is more than $45,0

> 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

> Use the normal curves shown. Which normal curve has the greatest mean? Explain your reasoning. B 80 90 100 110 120 130 140

> Use the normal curve to estimate the mean and standard deviation. 40 45 50 55 60 65 70 75

> Determine whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x. If it is not a binomial experiment, explain why. A fair coin is tossed repe

> Use the normal curve to estimate the mean and standard deviation. 5 10 15 20 25

> 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

> On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a normal distribution, as shown in the figure at the left. What is the longest braking distance of a sedan that can be in the

> On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a normal distribution, as shown in the figure at the left. What is the shortest braking distance of a sedan that can be in th

> On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a normal distribution, as shown in the figure at the left. What braking distance of a sedan represents the first quartile?

> On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a normal distribution, as shown in the figure at the left. What braking distance of a sedan represents the 90th percentile?

> On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a normal distribution, as shown in the figure at the left. Find the braking distance of a sedan that corresponds to z = 1.6.

> On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a normal distribution, as shown in the figure at the left. Find the braking distance of a sedan that corresponds to z = -2.75

> Find the positive z-score for which 94% of the distribution’s area lies between -z and z.

> Find the z-score that has 30.5% of the distribution’s area to its right.

> Determine whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x. If it is not a binomial experiment, explain why. Bags of milk chocolate M&M

> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. P46

> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. P85

> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. P2

> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. 0.993

> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. 0.1

> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. 0.4721

> Determine whether any of the events in Exercise 34 are unusual. Explain your reasoning.

> Determine whether any of the events in Exercise 33 are unusual. Explain your reasoning.

> Find the indicated probabilities. If convenient, use technology to find the probabilities. The daily surface concentration of carbonyl sulfide on the Indian Ocean is normally distributed, with a mean of 9.1 picomoles per liter and a standard deviation of

> Find the indicated probabilities. If convenient, use technology to find the probabilities. Yearly amounts of black carbon emissions from cars in India are normally distributed, with a mean of 14.7 gigagrams per year and a standard deviation of 11.5 gigag

> Find the expected net gain to the player for one play of the game. A scratch-off lottery ticket costs $5. The table at the left shows the probability of winning various prizes on the ticket. Prize Probability 1 $100,000 100,000 1 $100 100 $50 50

Question: a. find the margin of error for