1. If, in a sample of n = 16 selected from a normal population, X = 52 and S = 12 , what are the critical values of t if the level of significance, a is 0.01 , the null hypothesis, H0, is = 50 and the alternative hypothesis, H1 is 50?

The critical value of t are +- __________

2. If, in a sample of n= 16selected from a normal population, X = 53 and S = 20 , what is your statistical decision if the level of significance a is 0.10 , the null hypothesis, H0 is = 50 , and the alternative hypothesis, is H1 50?

Determine the critical value(s).

The critical value(s) is(are)____________

(Round to four decimal places as needed. Use a comma to separate answers as needed.)

Determine the test statistic, t . STAT

tSTAT =________________

(Round to four decimal places as needed.)

State your statistical decision. Choose the correct answer below.

A. The test the null hypothesis. The data sufficient evidence to conclude that the mean differs from . does not reject does not provide = 50

B. The test the null hypothesis. The data sufficient evidence to conclude that the mean differs from . does not reject provide = 50

C. The test the null hypothesis. The data sufficient evidence to conclude that the mean differs from . rejects does not provide = 50

D. The test the null hypothesis. The data sufficient evidence to conclude that the mean differs from u=50.

3. If, in a sample of n=17 selected from a right-skewed population, X=64 and S=24, would you use the t test to test the null hypothesis H0:=63?

Choose the correct answer below.

A. Yes, you would use the t test because the sample size is atleast 30 and this population size allows for the Central Limit Theorem to take effect

B. No, you would not use the t test because the sample size is at least 30 and the population is right-skewed.

C. No, you wouldnot use the t test because the sample size is lessthan 30 and thepopulation isright-skewed.

D. Yes, you would use the t test because the sample size is less than 30 and this population size allows for the Central Limit Theorem to take effect.