Section 7.1

1. True or False? If the claim in a hypothesis test is the alternative hypothesis, the conclusion for the hypothesis test must relate to whether of not the claim is rejected.

Problems 2-3. A researcher claims that 5353.

2. State the null hypotheses for the research.

3. State the alternate hypotheses for the research.

4. What type of hypothesis test is required (left-tail, right-tail, or two tail)?

5. True or false? A type 2 error occurs when the null hypothesis is not rejected when it is true.

Problems 6-8. A company's shipping department claims the number of shipping errors per million shipments has a mean that is greater than 30. A hypothesis test will be conducted to test this claim.

6. Write the null hypothesis, H0H0.

7. Write the alternate hypothesis, HaHa.

8. Which of the hypotheses above is the claim?

9. What type of statistical test is needed (left-tail, right-tail, or two-tail)?

10. True or false? The statement of conclusion for this test should be about whether or not to reject the claim.

Problems 11-12. A fuel distributer claims that the mean cost of gasoline is at least $3.25 per gallon.

11. What type of statistical test is needed (left-tail, right-tail, or two-tail)?

12. What can you conclude about the claim when there has been a decision to fail-to-reject the null hypothesis?

Problems 13-14. A widget manufacturer claims that the average cost for their line of widgets is $5. A hypothesis test is conducted.

13. What can you conclude about the claim when there has been a decision to fail to reject the null hypothesis?

14. What can you conclude about the claim when there has been a decision to reject the null hypothesis?

Section 7.2

Problems 15-17. State the p-value for the hypothesis test.

15. z=1.72z=1.72, claim: 6565

16. z=1.59z=1.59, claim: <65<65

17. z=1.8z=1.8, claim: =65=65

18. Use the normal distribution to find the critical value(s) for a two-tailed hypothesis test with =0.07=0.07. (Note: Do not use =0.05=0.05 or =0.10=0.10).

19. Test the claim. Remember to include all parts of the hypothesis test as explained in the assignment instructions. Claim: 28,00028,000; =0.05=0.05; x=28,500x=28,500, =2000=2000, n=42n=42. (Note: Avoid rounding until the last step of calculations.)

Section 7.3

Problems 20-21. Use the value of and nn to find the critical value(s) for the specified t-test.

20. Test: Two-tailed; =0.02=0.02; n=39n=39

21. Test: Left-tailed; =0.025=0.025; n=32n=32

Problems 22-24. For a two-tailed hypothesis test using the t-distribution t0=1.703t0=1.703 and t0=1.703t0=1.703. State whether you should reject H0H0 or fail to reject H0H0.

22. t=1.710t=1.710

23. t=1.710t=1.710

24. t=1.500t=1.500

25. Use a t-test to test the claim. Include all parts of the hypothesis test as explained in the assignment instructions. Assume that the population follows a normal distribution. Claim: >48,000>48,000, =0.05=0.05, Sample statistics: x=49,000x=49,000, s=2800s=2800,