u=47.4 62 42 38 37 The data in the table represent the ages of the winners of an
ID: 3320653 • Letter: U
Question
u=47.4
62 42 38 37 The data in the table represent the ages of the winners of an award for the past five years. Use the data to answer questions (a) through (e). (b) Compute the mean for all 5C2-10 samples with size n = 2. Sample Sample Mean Sample Sample Mean 62,37 62,42 62,58 47.5 37.5 50 49.5 37,58 37,38 42,58 42,38 58,38 37,42 (c) Construct a sampling distribution for the mean by listing the sample means and their corresponding probabilities. Give all the unique sample means in ascending order. (Type N if there is no solution.) 39.5 Sample Mean Probability Sample Mean Probability 49.5 50 0.1 0.2 0.1 0.1 37.5 2 39.5 4 47.5 5 48 10 (d) Compute the mean of the sampling distribution. The mean of the sampling distribution is years.Explanation / Answer
d) The mean of the sampling distribution do target the population mean and hence, it will be equal to the population mean.
Therefore,
Mean = (62 + 42 + 38 + 37 + 58) / 5 = 237/5 = 47.4
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