A simple random sample of25is drawn from a population that is normally distributed.

5.A simple random sample of 25 is drawn from a population that is normally distributed. The sample mean is found to be 108 with a sample standard deviation, s is 10 ( population standard deviation is unknown). Construct the 95% confidence interval.

A. 3.92

B. 4.13

C. 104.08-111.92

D. 103.87-112.13

13.Find the critical value for a two-tailed test with α=0.10 and n = 100

a. +-1.65

b. +- 2.33

c. +-1.96

d. +-2.58

15.Suppose you want to test the claim that μ>25.6. Given a sample size of n=42 and a level of significance of α=0.025, when should you reject the null hypothesis?

a. if the standardized test statistic is greater than 2.33

b. if the standardized test statistic is greater than 1.28

c. if the standardized test statistic is greater than 1.96

d. if the standardized test statistic is greater than 1.65

***these are questions from a test that I got wrong so all I know is the wrong answers. 5 is not c. 104.08-111.92. 13 is not b. +-2.33 and 15 is not a. if the standardized test statistic is greater than 2.33*** thank you