Letxbe a random variable representing dividend yield of bank stocks. We may assume thatxhas a normal distribution with=2.8%.A random sample of 10 bank stocks gave the following yields (in percents).

5.7

4.8

6.0

4.9

4.0

3.4

6.5

7.1

5.3

6.1

The sample mean isx= 5.38%. Suppose that for the entire stock market, the mean dividend yield is=4.2%. Do these data indicate that the dividend yield of all bank stocks is higher than4.2%? Use=0.01. (a) What is the level of significance? b)What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find (or estimate) theP-value. (Round your answer to four decimal places.)