You plan to construct a confidence interval for the population mean mu. Your job

Question

You plan to construct a confidence interval for the population mean mu. Your job here is to use the information given below to find, if possible, either Z_c or t_c a) C.I. = 87%; n = 17; sigma is known and the distribution appears to be normal. b) alpha = 2%; n = 37; sigma is not known and the distribution appears to be very skewed. c) alpha/2 = 12%; n = 18; sigma is known and the distribution appears to be normal. d) C.I. = 94%; n = 23; sigma is not known and the distribution does not appear to be normal.

Explanation / Answer

a) When the population standard deviation is known, we use z test to find the confidence interval.

b)when the distribution appears to be very skewed, even though population standard deviation is known, neither z nor t test applies.

c) when population standard deviation is known, we use z test to find the confidence interval.

d) when the distribution does not appear to be normal, neither z nor t test applies.

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