When a production process is operating correctly, the number of units produced per hour 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 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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a and b part only
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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