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A study found that highway drivers in one state traveled at an average speed of 59.6 miles per hour (MPH). Assume the population standard deviation is 6.9 MPH. Complete parts a through d below. a. What is the probability that a sample of 30 of the drivers will have a sample mean less than 58 MPH? P(x< 58) =O (Round to four decimal places as needed.) b. What is the probability that a sample of 40 of the drivers will have a sample mean less than 58 MPH? P(x<58) =O (Round to four decimal places as needed.) c. What is the probability that a sample of 50 of the drivers will have a sample mean less than 58 MPH? P(x< 58) =O (Round to four decimal places as needed.) d. Explain the difference in these probabilities. As the sample size increases, the standard error of the mean and the sample means V the population mean of 59.6 MPH. Therefore, the probability of observing a sample mean less than 58 MPH Enter vOur answer in each of the answer boxes

A study found that highway drivers in one state traveled at an average speed of 59.6 miles per hour (MPH). Assume the population standard deviation is 6.9 MPH. Complete parts a through d below. a. What is the probability that a sample of 30 of the drivers will have a sample mean less than 58 MPH? P(x< 58) =O (Round to four decimal places as needed.) b. What is the probability that a sample of 40 of the drivers will have a sample mean less than 58 MPH? P(x<58) =O (Round to four decimal places as needed.) c. What is the probability that a sample of 50 of the drivers will have a sample mean less than 58 MPH? P(x< 58) =O (Round to four decimal places as needed.) d. Explain the difference in these probabilities. As the sample size increases, the standard error of the mean and the sample means V the population mean of 59.6 MPH. Therefore, the probability of observing a sample mean less than 58 MPH Enter vOur answer in each of the answer boxes

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A study found that highway drivers in one state traveled at an average speed of 59.6 miles per hour (MPH). Assume the population standard deviation is 6.9 MPH. Complete parts a through d below. a. What is the probability that a sample of 30 of the drivers will have a sample mean less than 58 MPH? P(x< 58) =O %3D (Round to four decimal places as needed.) b. What is the probability that a sample of 40 of the drivers will have a sample mean less than 58 MPH? P(x< 58) =O %3D (Round to four decimal places as needed.) c. What is the probability that a sample of 50 of the drivers will have a sample mean less than 58 MPH? P(x< 58) =D (Round to four decimal places as needed.) d. Explain the difference in these probabilities. As the sample size increases, the standard error of the mean and the sample means the population mean of 59.6 MPH. Therefore, the probability of observing a sample mean less than 58 MPH Enter vour answer in each of the answer boxes
Transcribed Image Text:A study found that highway drivers in one state traveled at an average speed of 59.6 miles per hour (MPH). Assume the population standard deviation is 6.9 MPH. Complete parts a through d below. a. What is the probability that a sample of 30 of the drivers will have a sample mean less than 58 MPH? P(x< 58) =O %3D (Round to four decimal places as needed.) b. What is the probability that a sample of 40 of the drivers will have a sample mean less than 58 MPH? P(x< 58) =O %3D (Round to four decimal places as needed.) c. What is the probability that a sample of 50 of the drivers will have a sample mean less than 58 MPH? P(x< 58) =D (Round to four decimal places as needed.) d. Explain the difference in these probabilities. As the sample size increases, the standard error of the mean and the sample means the population mean of 59.6 MPH. Therefore, the probability of observing a sample mean less than 58 MPH Enter vour answer in each of the answer boxes
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