High School

Suppose the amount of time that people spend surfing the internet per week is normally distributed with a mean of 13 hours and a standard deviation of 4.8 hours. What is the expected value of the sample mean hours in a random sample of [tex]n = 100[/tex] people?

A) 13 hours
B) 4.8 hours
C) 5.2 hours
D) 2.64 hours

Answer :

Final answer:

The expected value of the sample mean in a random sample of 100 people from a normal distribution with a mean of 13 hours and a standard deviation of 4.8 hours is 13 hours(A).

Explanation:

The student is asking about the expected value of the sample mean for a normally distributed population with a mean of 13 hours and a standard deviation of 4.8 hours, when a random sample of n = 100 people is taken. The expected value of the sample mean of a normally distributed population is equal to the population mean. Therefore, the expected value of the sample mean in this particular case is 13 hours, which corresponds to option A.

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