(Solved by Humans)-Let x be a random variable representing dividend yield of bank
Question
?Let?x?be a random variable representing dividend yield of bank stocks. We may assume that?x?has a normal distribution with???=?2.2%.?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 is?x?= 5.38%. Suppose that for the entire stock market, the mean dividend yield is???=?4.6%. Do these data indicate that the dividend yield of all bank stocks is higher than?4.6%? 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) the?P-value. (Round your answer to four decimal places.)
?
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