a) In the U.S., it has been claimed that adults between the ages of 18 and 30 se
ID: 3208519 • Letter: A
Question
a) In the U.S., it has been claimed that adults between the ages of 18 and 30 send an average of 53.9 text messages per day, with a standard deviation of 29.9. If a random sample of 50 adults in this age group were collected, what would be the mean of the sampling distribution of the sample mean, to one decimal place?
b) In the U.S., it has been claimed that adults between the ages of 18 and 30 send an average of 54.7 text messages per day, with a standard deviation of 27.9. If a random sample of 67 adults in this age group were collected, what would be the standard deviation of the sampling distribution of the sample mean, to one decimal place?
Explanation / Answer
a) = 53.9
= 29.9
n = 50
mean of the sampling distribution of the sample mean = 53.9 (ans)
b) = 54.7
= 27.9
n = 67
standard deviationof the sampling distribution of the sample mean = / sqrt(n)
= 27.9 / sqrt(67)
= 3.4 (ans)
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