Question

Confidence interval for the population mean using random sampling.

I work with 6 other people in an office, all of which are in different stages of life, some with family, some not. Some older, some younger, kids/no kids, and so on.

I asked them how many times weekly that they go to the grocery store.

Person 1 - 5 times

Person 2 - 1 time

Person 3 - 0 times

Person 4 - 2 Times

Person 5 - 1 Time

Person 6 - 1 Time

Population mean would be - 1.6666 (If I figured correctly)

Confidence interval - 99%

What is the solution?

Answer 1

The mean you figured out is not population mean , rather sample mean

The sample standard is given by

The confidence interval for the population mean is given by

Here n=6, so number of degrees of freedom is 6-1=5, Also

Thus, from t table we have

Using the values we have the interval as