Question

In: Statistics and Probability

It is known that the average age of someone in the NFL is 26.2 years old....

  1. It is known that the average age of someone in the NFL is 26.2 years old. Suppose we take a sample of 15 athletes and find that the average age is 26.8 years old with a sample standard deviation of 3.22 years. We are interested in testing if the average age of NFL players is increasing.
    1. Using the sample of 15 players, what would the 95% confidence interval be for the population mean?
    2. What are the null and alternative hypotheses?
    3. What is the critical value at 95% confidence?
    4. Calculate the test statistic.
    5. Find the p-value
    6. What conclusion would be made here at the 95% confidence level?
    7. Would my conclusion change if I changed alpha to .10? Show reasoning

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Expert Solution

orchestra answered 1 year ago
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