A random sample of 30 observations with a mean of 81 is selected from a normally distributed population. Assume the population standard deviation is 24.

In developing a(n) 82% confidence interval estimate for the population mean, determine the following values:

a) [Do not round] Point Estimate =

b) [2 decimal places] Significance level () =

Round the critical value to two (2) decimal places and use the rounded value to calculate the remaining parts.

c) [Enter a positive value] Critical value =

d) [3 decimal places] Standard Error of the Mean =

e) [1 decimal place] Margin of Error =

f) [1 decimal place] Lower Confidence Limit =

g) [1 decimal place] Upper Confidence Limit =

How large a sample is required to keep the margin of error within 2 units with 82% confidence?

Report your answer as an integer.