The price of a stock of a high tech company has had an average weekly price of $32 for the past several months. Because of recent changes in the company’s management an investor thinks the average...

The price of a stock of a high tech company has had an average weekly price of $32 for the past several months. Because of recent changes in the company’s management an investor thinks the average weekly price has changed. To test this claim at the 5% level, the investor collects the average weekly price over a period of 15 weeks. The mean for the sample is $33.25. Assume that the distribution of prices is normal with a population standard deviation of $3.In the box below answer the following questions:

(a) What is thetest statistic? (Round to two decimal places.)

(b) What is thep-value? (Round to three decimal places.)

(c)What is the conclusion in the context of the problem?