We took a random sample of students. Students were asked how many Facebook frien

Question

We took a random sample of students. Students were asked how many Facebook friends they had. Out of 30 respondents who had Facebook accounts, the mean number of friends was 589.10 with a standard error of 72.98.

A. Describe the parameter of interest in context.

B. What is the 95% confidence interval?

C. Interpret the 95% confidence interval.

D. Is 500 friends a plausible value for the population of all students? Explain.

E. Is 750 friends a plausible value for the population of all students? Explain.

Explanation / Answer

A.The parameter of interest here is the true mean of all students who had Facebook accounts.

B.A 95% confidence interval is a range of values that you can be 95% certain contains the true mean of the population.

C.Using minitab,

One-Sample Z

The assumed standard deviation = 72.98

N Mean SE Mean 95% CI
30 589.1 13.3 (563.0, 615.2)

D and E :

Herer 95% CI is (563.0, 615.2).

the plausible values for the population mean µ are those values between 563.0, and 615.2. Therefore, 500 and 750 are not a plausible value for the mean time.

Hope this will be helpful. Thanks and God bless you :-)

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