A bookstore has average sales of $48.98 at its physical location.

It set up a website. For a sample of 50 online sales, average was $52.57 and standard deviation was $10.23.

1) Any significant difference in average sales between online and physical store? Test at a 2.5% level of significance.

2) Calculate the 97.5% confidence interval of the average online sales.

3) Does the c.i. lead to the same conclusion as in question 1? Explain.

4) Calculate the p-value for the test in question 1.

5) Do the test and p-value lead to same conclusion? Explain.

6) Suppose no level of significance. What conclusion?