When a production process is operating correctly, the number of units produced per hour has a normal distribution with a mean of 102
and a standard deviation of 10.
A random sample of 44
hours was taken. Complete parts? (a) through? (d).
Find the mean of the sampling distribution of the sample means.
E (X)= ______
?(Type integer or a? decimal.)
b. Find the variance of the sample mean.
sigma Upper X overbar ? 2/X= ______
?(Type integer or a? decimal.)
c. Find the standard error of the sample mean.
sigma X overbar? /X= ______
?(Type integer or a? decimal.)
d. What is the probability that the sample mean exceeds 103.2?
?P( X>103.2?) = _______
?(Round to four decimal places as? needed.)
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