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(Solved): Jse the standard normal distribution or the t-distribution to construct a 95% confidence interv ...



Jse the standard normal distribution or the t-distribution to construct a \( 95 \% \) confidence interval for the population

Jse the standard normal distribution or the t-distribution to construct a confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a recent season, the population standard deviation of the yards per carry for all running backs was . The yards per carry of 25 randomly selected running backs are shown below. Assume the vards ner carru are normally distrihutod Which distribution should be used to construct the confidence interval? A. Use a t-distribution because and is unknown. B. Use a normal distribution because is known and the data are normally distributed. C. Use a t-distribution because and is known. D. Use a normal distribution because , the data are normally distributed and is unknown. E. Cannot use the standard normal distribution or the t-distribution because is unknown, , and the data are not normally distributed. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. A. The confidence interval is (Round to two decimal places as needed.) B. Neither distribution can be used to construct the confidence interval. Interpret the results. Choose the correct answer below. A. If a large sample of players are taken approximately of them will have yards per carry between the bounds of the confidence interval. B. It can be said that of players have a yards per carry between the bounds of the confidence interval. C. With confidence, it can be said that the population mean yards per carry is between the bounds of the confidence interval. D. Neither distribution can be used to construct the confidence interval.


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Ans:Given that ,the population standard deviation of the yards per carry for all running backs
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