The mean of a sample size n=35 is 1860. the standard deviation of the sample is 102 and the population is normally distributed. construct a 99% confidence interval estimate of the mean of the population.

(1812.967, 1907.033)

Step-by-step explanation:

The confidence interval for population mean is given by :-

, where = Sample mean

n= Sample size.

s = Sample standard deviation

= Critical t-value for degree of freedom(n-1).

As per given , we have

n= 35

s=102

Significance level :

By t- distribution table , for degree of freedom 43 and , we have

Substitute all the values in the above formula , we will get

Hence, the  99% confidence interval estimate of the mean of the population is  (1812.967, 1907.033).

a

step-by-step explanation: