Answer the following questions showing all work. Full credit will not be given t

Question

Answer the following questions showing all work. Full credit will not be given to answers without work shown. If you use Minitab Express include the appropriate output (copy + paste) along with an explanation. Output without explanation will not receive full credit. Round all answers to 3 decimal places. If you have any questions, post them to the course discussion board.

1. For each of the following, compute the correct degrees of freedom and find the correct t* multiplier for constructing a confidence interval for a population mean using Minitab Express. [24 points]

A. Confidence level 90%, n=10, df = _____, t* = ______

B. Confidence level 90%, n=90, df = _____, t* = ______

C. Confidence level 95%, n=10, df = _____, t* = ______

D. Confidence level 95%, n=90, df = _____, t* = ______

E. How does the t multiplier change when the confidence level is increased (e.g., from 90% to 95%)?

F. How does the t multiplier change when the sample size is increased (e.g., from n=10 to n=90)?

Explanation / Answer

Ans:

A. Confidence level 90%, n=10

df=n-1=10-1=9

t* multiplier for CI 90% and df is

t*=1.833

B. Confidence level 90%, n=90

df = 90-1=89

t* = 1.662

C. Confidence level 95%, n=10

df = 10-1=9

t* = 2.262

D. Confidence level 95%, n=90

df = 90-1=89

t* =1.987

E. How does the t multiplier change when the confidence level is increased (e.g., from 90% to 95%)?

t multiplier increases,as the confidence level increases.

F. How does the t multiplier change when the sample size is increased (e.g., from n=10 to n=90)?

When sample size is increases,df increases,t multiplier decreases.

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