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

MATLAB: An Introduction with Applications
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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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