HW10 Skeleton

10.1

• 1. Hypothesis
• 2. Hypothesis testing
• 3. Null hypothesis
• 4. Alternative hypothesis
• 5. I
• 6. II
• 7. Level of significance
• 8. False
• 9. Right tailed, miu
• 10. Left tailed, p
• 11. Two tailed, sigma

 

18. 1. H1: p > 32, Hnot: p = 32

    2. If we make a type I error that would mean the conclusion that the jar doesn’t contains at least 32 ounces of peanut butter when it in fact does contain 32 ounces of peanut butter.

    3. If we make a type II error that would mean the conclusion that the jar does contain at least 32 ounces of peanut butter when it in fact doesn’t containt 32 ounces of peanut butter.

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

    2. If we make a type I error that would mean the conclusion that the pressure variability has been reduced below 0.7 psi when in fact the pressure variability hasn’t actually been reduced below 0.7 psi.

    3. If we make a type II error that would mean the conclusion that the pressure variability has not been reduced below 0.7 psi when in fact the pressure variability has been reduced below 0.7 psi.

 

36. 1. Hnot: miu = 54, H1: miu > 54

    2. There is enough evidence to conclude that the succesful marketing campaign has lead to Americans consuming more than 54 quarts of popcorn anually.

    3. The marketing department has made a type II error. If they tested the hypothesis at a 0.05 level of confidence however they would be more likely to make a type I error.

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

    2. There isn’t sufficient evidence to conclude that more than 2.8% of the students at the counselor’s school use e-cigs.

    3. Type II error, this is because the null hypothesis was not rejected when in fact, the alternative hypothesis was true.