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In: Statistics and Probability

Suppose we are interested in analyzing the weights of NFL players. We know that on average,...

  1. Suppose we are interested in analyzing the weights of NFL players. We know that on average, NFL players weigh 247 pounds with a population standard deviation of 47 pounds. Suppose we take a sample of 30 new players and we find that the average weight from that sample is 237 pounds. We are interested in seeing if the weight of NFL players is decreasing. Show work.
    1. What is the standard error?
    2. What is the margin of error at 90% confidence?
    3. Using my sample of 30, what would be the 90% confidence interval for the population mean?
    4. If I wanted to control my margin of error and set it to 5 at 90% confidence, what sample size would I need to take instead of the 30?
    5. What are the null and alternative hypotheses?
    6. What is the critical value at 90% confidence?
    7. Calculate the test statistic (using the sample of 30 and NOT the answer from part d).
    8. Find the p-value.
    9. What conclusion would be made here at the 90% confidence level?

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