Question

# Thirty randomly selected students took the calculus final. If the sample mean was 77 and the...

Thirty randomly selected students took the calculus final. If the sample mean was 77 and the standard deviation was 11.9, construct a 99% confidence interval for the mean score of all students. Round your answer in 2 decimal places

z @ 99.0% = 2.5758

Since we know that

Required confidence interval = (77.0-2.5758(2.1726), 77.0+2.5758(2.1726))
Required confidence interval = (77.0 - 5.5963, 77.0 + 5.5963)
Required confidence interval = (71.40, 82.60)

Interpretion: We are 99.0% confident that the true mean of the population lie between the interval 71.40 and 82.60.

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