Letxbe a random variable representing dividend yield of bank stocks. We may assume thatxhas a normal distribution with=2.7%.A random sample of10 bankstocks gave the following yields (in percents).

5.74.86.04.94.03.46.57.15.36.1

The sample mean isx= 5.38%. Suppose that for the entire stock market, the mean dividend yield is=4.1%.Do these data indicate that the dividend yield of all bank stocks is higher than4.1%? Use=0.01.

Compute thezvalue of the sample test statistic. (Round your answer to two decimal places.)

Find (or estimate) theP-value. (Round your answer to four decimal places.)