Question

The following information is required to answer questions 8-10. A random sample of 22 fifth grade pupils have a grade point average (GPA) of 5.0 in maths with a variance of 0.21, where marks range from 1 (worst) to 6 (excellent). The GPA of all fifth grade pupils of the last five years is 4.7. Is the GPA of the 22 pupils different from the populations’ GPA?

**8.** Approximately what is the value of the
obtained t-statistic?

- 3.06
- 1.99
- 2.13
- 0.57

**9.** Assuming an alpha level of .01, what is the
probability of making a Type I error?

- .05
- .99
- .01
- .001

**10.** If we increased our alpha level to .05,
what would happen to the probability of making a Type II error?

- It would increase
- It would be 0.95
- It would be equal to the probability of making a Type I error
- It would decrease

Answer #1

8.

= 5

= 0.21

= 4.7

n = 22

**9.** Assuming an alpha level of .01, what is the
probability of making a Type I error?

P[ type I error ] = alpha level = 0.01

**c 0.01**

**10.** If we increased our alpha level to .05,
what would happen to the probability of making a Type II error?

**d. It would decrease**

**The type I and type II probability are inversely
proportional**

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