Subject Mathematics Mathematics - Other

Question

1. For a right-tailed test of a hypothesis for a population mean with n = 14, the value of the test statistic was 1.863. The p-value is
Select one:
a. between .05 and .025.
b. between .10 and .05.
c. greater than .10.
d. less than .01.

2. If I increase the probability that I reject a null hypothesis that is true, then I
Select one:
a. decrease the probability of a Type I error
b. increase the probability of a Type II error
c. decrease the probability of a Type II error
d. forgo the possibility of a Type II error

3. Suppose you want to test whether the average distance Stats II students commute to UNC is LESS than 5 miles. You should use a
Select one:
a. one-tail test, with the rejection region in the left tail
b. one-tail test, with the rejection region in the right tail
c. two-tail test
d. wicked awesome two-tail test

4. To complete the hypothesis test described in Question 3, suppose you randomly sampled 32 students to determine their commute distance. The Excel output below was generated using "descriptive statistics" on those 32 observations. What is the test statistic? (use 4 decimal places in your calculations.)
Select one:
a. z = -0.5623
b. t = 0.4587
c. t = -0.4386
d. z = -1.2675

5. Using the information in Questions 3 and 4, how would you conclude the hypothesis test at the .05 significance level?
Select one:
a. Reject the null
b. Accept the null
c. Accept the alternative
d. Fail to reject the null

6. If Mars is not being truthful about having a proportion of .24 blue M&Ms, then if we reject the null hypothesis we have
Select one:
a. made a Type I error
b. made a Type II error
c. made an incorrect decision
d. made a correct decision


7. Assume the GPA of Stats II students is distributed normally with a population standard deviation of .10. To test whether the average GPA of Stats II students is GREATER THAN 3.12, a sample of size 49 was drawn and a sample mean of 3.15 was calculated. What is the test statistic?
Select one:
a. z = 2.10
b. z = 2.89
c. t = 2.10
d. z= -2.10

8. Using the information from Question 7, what is the p-value?
Select one:
a. 0.8913
b. 1.0763
c. 0.2456
d. 0.0179

9. To keep the probability of a Type I error constant while also decreasing the probability of a Type II error, we can
Select one:
a. increase the sample standard deviation
b. decrease the level of confidence
c. increase beta
d. increase n

10.Guidelines for the Jolly Blue Giant Health Insurance Company say that the average hospitalization for a triple hernia operation should not exceed 30 hours. A diligent auditor studied records of 16 randomly chosen triple hernia operations at Hackmore Hospital, and found a mean hospital stay of 40 hours with a standard deviation of 20 hours. "Aha!" she cried, "The average stay exceeds the guideline." At α = .025, the critical value for a right-tail test of her hypothesis is
Select one:
a. 1.753
b. 2.131
c. 1.645
d. 1.960
Economics Questions

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