Arandom sample of 25 glass sheets is obtained and their thicknesses are measured. the sample mean is x= 3.54 mm and sample standard deviation is s = 0.20 mm. construct a 95% two-sided confidence interval for the mean glass thickness.

(3.46, 3.62)

Step-by-step explanation:

The formula to find the confidence interval for population mean is given :-

, where n = sample size.

= Two-tailed t-value for significance level of and degree of freedom df= n-1.

= sample standard deviation.

As per given , we have

mm

s= 0.20 mm

n= 25

Significance level

Since population standard deviation is not given , it means the given problem has t- distribution.

Two-tailed t-value for significance level of and degree of freedom df= 24:

95% Confidence interval for population mean:

Hence, the 95% two-sided confidence interval for the mean glass thickness = (3.46, 3.62)

because 1.2 isnt half of 6 duh