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3. Age of runners. The average of the runners’ ages is µ = 34.05 years with...

3. Age of runners. The average of the runners’ ages is µ = 34.05 years with a standard deviation of σ = 9.83. A simple random sample of 100 runners is taken. a. Find the standard deviation of the sample mean, σx. b. In your opinion, would you be surprised to get a sample (of size 100) with an average age of 36 years? Why or why not? (One idea: start by calculated this probability, the probability of getting an average of 36 years, or more, for a sample of 100 runners.) c. Which number would you trust more: a statistic from a sample with 100 observations or a statistic from a sample with 400 observations? Why?

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