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Suppose the following: In the population of U.S. adults, the mean monthly amount paid for digital subscription services is $40 with a standard deviation of $15. You may assume that this population is normally distributed.
a) What is the standard error of the sample mean for a sample of 46 U.S. adults? and for a sample of 60 U.S. adults? (to 4 decimals)
b) What is the probability that a random sample of 46 U.S. adults will have a mean digital subscription amount that is less than $35?
c) What is the probability that a random sample of 60 U.S. adults will have a mean digital subscription amount that is less than $35?
d) What is the probability that a random sample of 46 U.S. adults will have a mean digital subscription amount that is between $37 and $43?
e) What is the probability that a random sample of 60 U.S. adults will have a mean digital subscription amount that is between $37 and $43?
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