14. A researcher uses a hypothesis test to evaluate H0: = 80. Which combination of factors is most likely to result in rejecting the null hypothesis?

a. x = 85 and n = 10

b. x = 85 and n = 20

c. x = 90 and n = 10

d. x = 90 and n = 20

15. On average, what value is expected for the t-statistic when the null hypothesis is true?

a. 0

b. 1

c. 1.96

d. t > 1.96

16. A sample of n = 10 scores has x = 58, s²= 160 and a standard error of 4 points. Which of these values would decrease if the sample size was increased to n = 100?

a. The value of x

b. The value of s²

c. The value of sxsx

d. None would be changed just by increasing n

18. For a normal population with= 100 and= 20:

What is the probability of obtaining a sample mean greater than 110 for a sample of n = 4 scores?

(MUST SHOW WORK FOR THIS PROBLEM)

Please round your answer to the second decimal place.

19. For a normal population with= 100 and= 20:

What is the probability of obtaining a sample mean greater than 110 for a sample of n = 16 scores?

(MUST SHOW WORK FOR THIS PROBLEM)

Please round your answer to the second decimal place.

20. For a normal population with= 100 and= 20:

For a sample of n = 25 scores, what is the probability that the sample mean will be within 5 points of the population mean (i.e, +/- 5 pts from the mean)?

(MUST SHOW WORK FOR THIS PROBLEM)

Please round your answer to the second decimal place.