From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 21.69 with a population standard deviation of 3.23. what is the 95% confidence interval for the amount of time spent on administrative issues?

(20.86, 22.52)

Step-by-step explanation:

Formula to find the confidence interval for population mean :-

, where = sample mean.

z*= critical z-value

n= sample size.

= Population standard deviation.

By considering the given question , we have

n= 58

Using z-table, the critical z-value for 95% confidence = z* = 1.96

Then, 95% confidence interval for the amount of time spent on administrative issues will be :

Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)

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