Hi tutor, thanks for all you do.

Please show mathematical work to get the answer. Do not use excel functions.

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Use the given degree of confidence and sample data to construct a confidence interval for the population mean p. Assume that the population has a normal distribution. 18) Thirty randomly selected students took the calculus final. If the sample mean was 76 and the standard deviation was 11.2, construct a 99% confidence interval for the mean score of all students