Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with ? = 3.3%. 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 ? = 4.1%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.1%? Use ? = 0.01. a) What is the level of significance? b) Compute the z 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 pla

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with ? = 3.3%. 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 ? = 4.1%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.1%? Use ? = 0.01.

a) What is the level of significance?

b) Compute the z 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 pla

 

 

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