Question

Suppose a random sample of 17 is selected from a normal distribution and the sample mean x-bar = 102.5 and the sample standard deviation Sx = 4.3. Is this a z distribution or a t distribution?

A. t distribution with 17 degrees of freedom

B. t distribution with 16 degrees of freedom

C. z distribution

D. Cannot be determined

Part b construct a 96% confidence interval for the population mean

A. 100.17 to 104.83

B. 100.36 to 104.64

C. 100.00 and 105.00

D. 100.10 and 104.90

Part c to test H_o: μ = 100 against H_a: μ ≠ 100, find the test statistic value of this test

A. 2.631

B. 2.326

C. 2.397

D. 2.607

Part d between what 2 p-values does this test statistic lie?

A. .10 and .05

B. .05 and .04

C. .02 and .01

D. .04 and .02

Part e  is this test statistically significant at the α = 0.05 level.

A. Yes, and we should reject H_o

B. No, and we cannot reject H_o

C. No, and we accept H_o

D. Cannot be determined