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Answer :
Final answer:
The standard error of the mean (SE) for Jack's weight is 1.333 lbs. The margin of error (m) for the 95% confidence interval is 2.61 lbs.
Explanation:
To calculate the standard error of the mean (SE), we divide the standard deviation (σ) by the square root of the sample size (n). In this case, the standard deviation is 4 lbs and the sample size is 9, so the SE = 4 / √9 = 4 / 3 = 1.333 lbs.
The margin of error (m) for a 95% confidence interval is calculated by multiplying the critical value (z*) by the standard error (SE). The critical value for a 95% confidence interval is approximately 1.96. Therefore, the margin of error (m) = 1.96 * 1.333 = 2.61 lbs.
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