Questions 6 to 10 are related.Based on a random sample of n=15 observations, we have obtained a sample mean of x(bar)=1050. The goal is to test:

H(0):1000 and

H(a):>1000

Assume that x is normally distributed with =150. What is the standard error ( (x bar) )? Rounded to two decimal places.

Select one:

a. 150/15 = 10

b. 150/15 = 38.73

c. None of the above

Question7

To conduct the test as given in question 6), which test statistics, is appropriate?

Select one:

a. t

b. z

c. F

d. None of the above

Question8

Building on question 7), what is the value of the test statistics? Rounded to two decimal places.

Select one:

a. (1050-1000)/38.73 = 1.29

b. (1050-1000)/10 = 5

c. None of the above

Question9

Using =0.1, what is the critical value (use Excel) for testing the hypotheses in question 6)? Rounded to two decimal places.

Select one:

a. -T.INV(0.1, 14) = 1.35

b. -NORM.S.INV(0.1) = 1.28

c. -T.INV(0.05, 14) = 1.76

d. -NORM.S.INV(0.05) = 1.64

10.

Using correct answers for questions 8) and 9),

Select one:

a. We reject H(0) because the test statistics value isless thanthe critical value

b. None of the above is correct

c.We reject H(0) because the test statistics value isgreater thanthe critical value