Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with σ = 3.0%. 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  = 5.38%. Suppose that for the entire stock market, the mean dividend yield is μ = 4.6%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.6%? Use α = 0.01. Compute the z value of the sample test statistic. (Enter a number. Round your answer to two decimal places.)   (c)  Find (or estimate) the P-value. (Enter a number. Round your answer to four decimal places.)

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.