Let x be a random variable representing dividend yield of Australian bank stocks. We may assume that x has a normal distribution with . A random sample of Australian bank stocks has a sample mean of . For the entire Australian stock market, the mean dividend yield is . Do these data indicate that the dividend yield of all Australian bank stocks is higher than %? Use . Find (or estimate) the P-value.
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Answer:-
Given That:-
Let x be a random variable representing dividend yield of Australian bank stocks. We may assume that x has a normal distribution with . A random sample of Australian bank stocks has a sample mean of . For the entire Australian stock market, the mean dividend yield is . Do these data indicate that the dividend yield of all Australian bank stocks is higher than %? Use . Find (or estimate) the P-value.
Given,
Population mean = 7.9
Standard deviation = 2.3
n = 11
sample mean = 9.89
Test Statistic:
Z = 2.87
p - value = P(Z > 2.87)
= 0.0021
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