Question

You intend to estimate a population mean μ with the following sample. 33 40.7 52.9 47.7 27.9 You believe the population is normally distributed. Find the 99% confidence interval as open-interval (i.e., parentheses) accurate to twp decimal places (because the sample data are reported accurate to one decimal place). 99% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

Answer 1

Since we know that

Where n is the number of data points

Now

and n = 5

This implies that

Confidence interval(in %) = 99

Since we know that

Required confidence interval = (40.44-21.1141, 40.44+21.1141)

Required confidence interval = (19.33, 61.55 )

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