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When a production process is operating correctly, the number of units produced per hour has a normal distribution with a mean of 103 and a standard deviation of 15. A random sample of 9 hours was taken. Complete parts (a) through (d). a. Find the mean of the sampling distribution of the sample means. E(X) =(Type an integer or a decimal.) b. Find the variance of the sample mean. o -Type an integer or a decimal.)

When a production process is operating correctly, the number of units produced per hour has a normal distribution with a mean of 103 and a standard deviation of 15. A random sample of 9 hours was taken. Complete parts (a) through (d). a. Find the mean of the sampling distribution of the sample means. E(X) =(Type an integer or a decimal.) b. Find the variance of the sample mean. o -Type an integer or a decimal.)

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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When a production process is operating correctly, the number of units produced per hour has a normal distribution with a mean of 103 and a standard deviation of 15. A random sample of 9 hours was taken. Complete parts (a) through (d). a. Find the mean of the sampling distribution of the sample means. E(X) (Type an integer or a decimal.) b. Find the variance of the sample mean. (Type an integer or a decimal.) = c. Find the standard error of the sample mean. oz = (Type an integer or a decimal.) d. What is the probability that the sample mean exceeds 104? P(X> 104) = (Round to four decimal places as needed.)
Transcribed Image Text:When a production process is operating correctly, the number of units produced per hour has a normal distribution with a mean of 103 and a standard deviation of 15. A random sample of 9 hours was taken. Complete parts (a) through (d). a. Find the mean of the sampling distribution of the sample means. E(X) (Type an integer or a decimal.) b. Find the variance of the sample mean. (Type an integer or a decimal.) = c. Find the standard error of the sample mean. oz = (Type an integer or a decimal.) d. What is the probability that the sample mean exceeds 104? P(X> 104) = (Round to four decimal places as needed.)
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