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t is known that the mean weight of all items sent through LSUHSC's campus mail system...

t is known that the mean weight of all items sent through LSUHSC's campus mail system is 30 grams. A random sample of 25 campus mail items received by the School of Public Health had an average weight of 36 grams with a sample standard deviation of 16 grams. Construct the appropriate two-sided CI for the mean weight of mail received by the School of Public Health.

Math   Statistics-And-Probability   
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Answer #1

t critical value at 0.05 level with 24 df = 2.064

95% confidence interval for is

- t * S / sqrt(n) < < + t * S / sqrt(n)

36 - 2.064 * 16 / sqrt(25) < < 36 + 2.064 * 16 / sqrt(25)

29.40 < < 42.60

95% CI is ( 29.40 , 42.60 )

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