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Answer :
The estimated average SAT score for the Instructor's class is between 994.56 and 1005.44.
Calculate the standard error of the mean (SEM) for the population:
SEM = SD / √n
SD is the standard deviation of the population (50 in this case).
n is the sample size (324 for the population).
So, SEM = 50 / √324 ≈ 2.778.
CI = mean ± (Z * SEM)
CI = 1000 ± (1.96 * 2.778) ≈ 1000 ± 5.44.
So, the 95% confidence interval for the average SAT score for the Instructor's class is approximately between 994.56 and 1005.44.
Thus, the estimated average SAT score for the Instructor's class is between 994.56 and 1005.44.
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