In Exercises 55 60, find the indicated probabilities and interpret the results. If

In Exercises 1 and 2, use the normal curve to estimate the mean and standard deviation

In Exercises 1 and 2, use the normal curve to estimate the mean and standard deviation

In Exercises 3 and 4, use the normal curves shown at the left Which normal curve has the greatest mean? Explain your reasoning

In Exercises 3 and 4, use the normal curves shown at the left Which normal curve has the greatest standard deviation? Explain your reasoning.

In Exercises 5 and 6, find the area of the indicated region under the standard normal curve. If convenient, use technology to find the area.

In Exercises 5 and 6, find the area of the indicated region under the standard normal curve. If convenient, use technology to find the area.

In Exercises 718, find the indicated area under the standard normal curve. If convenient, use technology to find the area.To the left of z = 0.33

In Exercises 718, find the indicated area under the standard normal curve. If convenient, use technology to find the area.To the left of z = -1.95

In Exercises 718, find the indicated area under the standard normal curve. If convenient, use technology to find the area. To the right of z = -0.57

In Exercises 718, find the indicated area under the standard normal curve. If convenient, use technology to find the area.To the right of z = 3.22

In Exercises 718, find the indicated area under the standard normal curve. If convenient, use technology to find the area.To the left of z = -2.825

In Exercises 718, find the indicated area under the standard normal curve. If convenient, use technology to find the area.To the right of z = 0.015

In Exercises 718, find the indicated area under the standard normal curve. If convenient, use technology to find the area.Between z = -1.64 and z = 0

In Exercises 718, find the indicated area under the standard normal curve. If convenient, use technology to find the area.Between z = -1.55 and z = 1.04

In Exercises 718, find the indicated area under the standard normal curve. If convenient, use technology to find the area.Between z = 0.05 and z = 1.71

In Exercises 718, find the indicated area under the standard normal curve. If convenient, use technology to find the area.Between z = -2.68 and z = 2.68

In Exercises 718, find the indicated area under the standard normal curve. If convenient, use technology to find the area.To the left of z = -1.5 and to the right of z = 1.5

In Exercises 718, find the indicated area under the standard normal curve. If convenient, use technology to find the area.To the left of z = 0.64 and to the right of z = 3.415

In Exercises 19 and 20, use the following information. The scores for the science reasoning portion of the ACT test are normally distributed. In a recent year, the mean test score was 20.9 and the standard deviation was 5.2. The test scores of four students selected at random are 17, 29, 8, and 23. (Source: ACT, Inc.) Find the z@score that corresponds to each value.

In Exercises 19 and 20, use the following information. The scores for the science reasoning portion of the ACT test are normally distributed. In a recent year, the mean test score was 20.9 and the standard deviation was 5.2. The test scores of four students selected at random are 17, 29, 8, and 23. (Source: ACT, Inc.) Determine whether any of the values are unusual.

In Exercises 2126, find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability P1z 6 1.282

In Exercises 2126, find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability P1z 7 -0.742

In Exercises 2126, find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability P1 -2.15 6 z 6 1.552

In Exercises 2126, find the indicated probability using the standard normal distribution. If convenient, use technology to find the probabilityP10.42 6 z 6 3.152

In Exercises 2126, find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability P1z 6 -2.50 or z 7 2.502

In Exercises 2126, find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability . P1z 6 0 or z 7 1.682

In Exercises 2732, the random variable x is normally distributed with mean m = 74 and standard deviation s = 8. Find the indicated probability P1x 6 842

In Exercises 2732, the random variable x is normally distributed with mean m = 74 and standard deviation s = 8. Find the indicated probability P1x 6 552

In Exercises 2732, the random variable x is normally distributed with mean m = 74 and standard deviation s = 8. Find the indicated probability P1x 7 802

In Exercises 2732, the random variable x is normally distributed with mean m = 74 and standard deviation s = 8. Find the indicated probability P1x 7 71.62

In Exercises 2732, the random variable x is normally distributed with mean m = 74 and standard deviation s = 8. Find the indicated probability P160 6 x 6 702

In Exercises 2732, the random variable x is normally distributed with mean m = 74 and standard deviation s = 8. Find the indicated probability P172 6 x 6 822

In Exercises 33 and 34, find the indicated probabilities. If convenient, use technology to find the probabilities.In a study of migrating Sandhill Cranes, the distances traveled in a day were normally distributed, with a mean of 267 kilometers and a standard deviation of 86 kilometers. Find the probability that the distance traveled in a day by a randomly selected Sandhill Crane from the study is (a) less than 200 kilometers. (b) between 250 and 350 kilometers. (c) greater than 500 kilometers. (Adapted from U.S. Geological Survey)

In Exercises 33 and 34, find the indicated probabilities. If convenient, use technology to find the probabilities.In a study of bumblebee bats, one of the worlds smallest mammals, the weights were normally distributed, with a mean of 2.0 grams and a standard deviation of 0.25 gram. Find the probability that a randomly selected bat from the study weighs (a) between 1.8 grams and 2.2 grams. (b) between 2.1 grams and 2.7 grams. (c) more than 2.3 grams. (Adapted from Encyclopaedia Britannica)

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

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

In Exercises 37 42, use the Standard Normal Table to find the z-score that corresponds to the cumulative area or percentile. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score.0.4721

In Exercises 37 42, use the Standard Normal Table to find the z-score that corresponds to the cumulative area or percentile. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score.. 0.1

In Exercises 37 42, use the Standard Normal Table to find the z-score that corresponds to the cumulative area or percentile. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score. 0.993

In Exercises 37 42, use the Standard Normal Table to find the z-score that corresponds to the cumulative area or percentile. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score.P2

In Exercises 37 42, use the Standard Normal Table to find the z-score that corresponds to the cumulative area or percentile. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score.P85

In Exercises 37 42, use the Standard Normal Table to find the z-score that corresponds to the cumulative area or percentile. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score.. P46

Find the z@score that has 30.5% of the distributions area to its right.

Find the z@score for which 94% of the distributions area lies between -z and z.

In Exercises 4550, use the following information. 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. (Adapted from Consumer Reports) Find the braking distance of a sedan that corresponds to z = -2.5.

In Exercises 4550, use the following information. 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. (Adapted from Consumer Reports)Find the braking distance of a sedan that corresponds to z = 1.2.

In Exercises 4550, use the following information. 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. (Adapted from Consumer Reports)What braking distance of a sedan represents the 95th percentile?

In Exercises 4550, use the following information. 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. (Adapted from Consumer Reports) What braking distance of a sedan represents the third quartile?

In Exercises 4550, use the following information. 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. (Adapted from Consumer Reports) What is the shortest braking distance of a sedan that can be in the top 10% of braking distances?

In Exercises 4550, use the following information. 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. (Adapted from Consumer Reports) What is the longest braking distance of a sedan that can be in the bottom 5% of braking distances?

In Exercises 51 and 52, find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population and find the mean of each. Find the mean and standard deviation of the sampling distribution of sample means and compare them with the mean and standard deviation of the population.The goals scored in a season by the four starting defenders on a soccer team are 1, 2, 0, and 3. Use a sample size of 2.

In Exercises 51 and 52, find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population and find the mean of each. Find the mean and standard deviation of the sampling distribution of sample means and compare them with the mean and standard deviation of the population.The minutes of overtime reported by each of the three executives at a corporation are 90, 120, and 210. Use a sample size of 3

In Exercises 53 and 54, use the Central Limit Theorem to find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distribution.The annual per capita consumption of citrus fruits by people in the United States is normally distributed, with a mean of 85.6 pounds and a standard deviation of 20.5 pounds. Random samples of size 35 are drawn from this population, and the mean of each sample is determined. (Adapted from U.S. Department of Agriculture)

In Exercises 53 and 54, use the Central Limit Theorem to find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distribution.The annual per capita consumption of red meat by people in the United States is normally distributed, with a mean of 107.9 pounds and a standard deviation of 35.1 pounds. Random samples of size 40 are drawn from this population, and the mean of each sample is determined. (Adapted from U.S. Department of Agriculture)

In Exercises 55 60, find the indicated probabilities and interpret the results. If convenient, use technology to find the probabilities.Refer to Exercise 33. A random sample of 12 Sandhill Cranes is selected from the study. Find the probability that the mean distance traveled of the sample is (a) less than 200 kilometers, (b) between 250 and 350 kilometers, and (c) greater than 500 kilometers, and (d) compare your answers with those in Exercise 33.

In Exercises 55 60, find the indicated probabilities and interpret the results. If convenient, use technology to find the probabilities.Refer to Exercise 34. A random sample of seven bumblebee bats is selected from the study. Find the probability that the mean weight of the sample is (a) between 1.8 grams and 2.2 grams, (b) between 2.1 grams and 2.7 grams, and (c) more than 2.3 grams, and (d) compare your answers with those in Exercise 34

In Exercises 55 60, find the indicated probabilities and interpret the results. If convenient, use technology to find the probabilities.The mean value of land and buildings per acre for farms in Illinois is $6700. A random sample of 36 Illinois farms is selected. What is the probability that the mean value of land and buildings per acre for the sample is (a) less than $7200, (b) more than $6500, and (c) between $7000 and $7400? Assume s = $1250. (Adapted from U.S. Department of Agriculture)

In Exercises 55 60, find the indicated probabilities and interpret the results. If convenient, use technology to find the probabilities.The mean value of land and buildings per acre for farms in Colorado is $1170. A random sample of 32 Colorado farms is selected. What is the probability that the mean value of land and buildings per acre for the sample is (a) less than $1200, (b) more than $1275, and (c) between $1100 and 1250? Assume s = $200. (Adapted from U.S. Department of Agriculture)

In Exercises 55 60, find the indicated probabilities and interpret the results. If convenient, use technology to find the probabilities.The mean annual salary for chauffeurs is about $30,800. A random sample of 45 chauffeurs is selected. What is the probability that the mean annual salary of the sample is (a) less than $30,000 and (b) more than $34,000? Assume s = $5600. (Adapted from Salary.com)

In Exercises 55 60, find the indicated probabilities and interpret the results. If convenient, use technology to find the probabilities.The mean annual salary for parole officers is about $50,830. A random sample of 50 parole officers is selected. What is the probability that the mean annual salary of the sample is (a) less than $50,000 and (b) more than $53,500? Assume s = $8520. (Adapted from Salary.com)

In Exercises 61 and 62, 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 A survey of U.S. adults found that 73% think the federal government should require that genetically modified food be labeled as such. You randomly select 12 U.S. adults and ask them whether they think the federal government should require that genetically modified food be labeled as such. (Source: Rasmussen Reports)

In Exercises 61 and 62, 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 A survey of U.S. adults found that 41% would be comfortable using a cell phone scan as an airline, train, or other transportation ticket. You randomly select 20 U.S. adults and ask them whether they would be comfortable using a cell phone scan as an airline, train, or other transportation ticket. (Source: Harris Interactive)

In Exercises 6368, write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.P1x 252

In Exercises 6368, write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.P1x 362

In Exercises 6368, write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.. P1x = 452

In Exercises 6368, write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability. P1x 7 142

In Exercises 6368, write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.P1x 6 602

In Exercises 6368, write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability. P154 6 x 6 642

In Exercises 69 and 70, 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 distribution to find the indicated probabilities.A survey found that 52% of U.S. teens ages 16 to 18 have a savings account. You randomly select 45 U.S. teens ages 16 to 18 and ask them whether they have a savings account. Find the probability that the number who have a savings account is (a) at most 15, (b) exactly 25, and (c) greater than 30, and (d) identify any unusual events. Explain. (Source: Charles Schwab)

In Exercises 69 and 70, 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 distribution to find the indicated probabilities. Thirty-one percent of people in the United States have type A+ blood. You randomly select 40 people in the United States and ask them whether their blood type is A+. Find the probability that the number of people who have A+ blood is (a) exactly 15, (b) less than 10, and (c) between 20 and 35, and (d) identify any unusual events. Explain. (Source: American Association of Blood Banks)