HW10 Skeleton

10.1

• 1. hypothesis
• 2. hypothesis testing
• 3. null hypothesis
• 4. alternative hypothesis
• 5. I
• 6. II
• 7. level of significance
• 8. F
• 9. right-tailed, mu
• 10. left-tailed, p
• 11. two-tailed, sigma

 

18. 1. H0:mu=32ounces, H1:mu<32ounces

    2. the sample evidence leads the federal law to conclude that the mean ounce of peanut butter that is labeled as containing 32 ounces is containing less than 32 ounces, when in fact it is not containing less.

    3. the sample evidence leads the federal law to conclude that the mean ounce of peanut butter that is labeled as containing 32 ounces is containing not less than 32 ounces, when in fact it is containing less.

19. 1. H0:sigma=0.7 psi, H1:sigma<0.7 psi

    2. the quality-control manager rejects the hypothesis that the variability in the pressure required is 0.7 psi, when the true variability is 0.7 psi.

    3. the quality-control manager rejects the hypothesis that the variability in the pressure required is 0.7 psi, when the true variability is less than 0.7 psi.

 

36. 1. H0:mu=54quarts, H1:mu>54quarts

    2. The marketing department put out a statement that we took a sample of 800 Americans ,which have mean greater than 54 quarts

    3. a type I error was committed because teh sample evidence led by popcorn.org to conclude the mean consumption of popcorn annually by Americans is 54 quarts, when, in fact, the consumption is lower.

37. 1. H0:p=0.028,H1:p>0.028

    2. there is not sufficient evidence to conclude the proportion of high school students exceeds 0.028 at this counselor’s high school

    3. a type II error is committed because the sample evidence led the counselor to conclude the proportion of e-cig users at her school was 0.028, in fact it is higher