MHB Construct the 99% confidence interval estimate

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To construct a 99% confidence interval estimate for the mean weight of high school football players based on a sample of 400 players with a mean weight of 198 lbs and a standard deviation of 26 lbs, the formula for the confidence interval is used. The critical value for a 99% confidence level is approximately 2.576. The margin of error is calculated by multiplying the critical value by the standard error, which is the standard deviation divided by the square root of the sample size. This results in a confidence interval of approximately 198 lbs ± 2.576 * (26/√400). The final confidence interval provides a range that estimates the mean weight of all high school football players with 99% certainty.
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A simple random sample of 400 high school football players was taken in order to estimate the mean weight of all high school football players. The sample has a mean of 198 lbs. and a standard deviation 26 lbs. Construct the 99% confidence interval estimate of the mean weight of all high school football players.
 
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