A sample of size =n48 has sample mean x=54.6 and sample standard deviation =s9.2. Part: 0 / 20 of 2 Parts Complete Part 1 of 2 Construct a 99.9% confidence interval for the population mean μ. Round the answers to one decimal place. A 99.9% confidence interval for the population mean is: .

The confidence interval is given by (49.94, 59.26)

Step-by-step explanation:

Info given

represent the sample mean

population mean (variable of interest)

s=9.2 represent the sample standard deviation

n=48 represent the sample size  

Part a

The confidence interval for the mean is given by the following formula:

  (1)

The degrees of freedom are given by:

The Confidence is 0.999 or 99.9%, and the significance is and , and the critical value would be

And replacing we got:

The confidence interval is given by (49.94, 59.26)

c

step-by-step explanation:

i think because what else can be a sample of every member