Let  x  be a random variable representing dividend yield of bank...

Question

Let  x  be a random variable representing dividend yield of bank...

Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with 𝜎 = 2.5%. 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   6.1The sample mean is  = 5.38%. Suppose that for the entire stock market, the mean dividend yield is 𝜇 = 4.4%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.4%? Use 𝛼 = 0.01.

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