The diameter of holes for a cable harness is known to have a normal distribution with σ = 0.01 inches. a random sample of size 10 yields an average diameter of 1.5045 inches. find a 99% two-sided confidence interval on the mean hole diameter. round the answers to 4 decimal places.

(1.4964, 1.5126)

Step-by-step explanation:

We know that the confidence interval for population mean is given by :-

, where = population standard deviation.

n= sample size

= Sample mean

As per given , we have

σ = 0.01 inches

n= 10

Also, the critical value for 99% confidence interval = [From x-value table.]

[Significance level =1-0.99=0.01 and is 2.576.]

Then, the 99% two-sided confidence interval on the mean hole diameter will be :-

Hence, the required confidence interval = (1.4964, 1.5126)

468

step-by-step explanation:

fwms@lil_ben06

step-by-step explanation: