HW10 Skeleton

10.1

• 1. hypothesis
• 2. hypothesis testing
• 3. null hypothesis
• 4. alternative hypothesis
• 5. Type I error
• 6. Type II error
• 7. level of significance
• 8. False
• 9. Right-tailed test; parameter: mu
• 10. Left-tailed test; parameter: p
• 11. two-tailed test; parameter: sigma

 

18. 1. Null:p=32, Alternative:p<32

    2. The consumer advocate believes that the peanut butter manufacturer is underfilling the jars, p<32, when in fact the manufacturer is filling up the jars with exactly 32 ounces.

    3. The consumer advocate believes the peanut butter manufacturer is filling up the jars each with 32oz of the peanut butter, p=32, but in reality, the company is underfilling them.

19. 1. Null:sigma=0.7, Alternative:sigma<0.7

    2. The manager accepts that the pressure is sigma<0.7 when in fact the pressure is sigma=0.7.

    3. The manager fails to reject the null, accepting that the pressure is sigma<0.7, but the alternative hypothesis is actually true, where the pressure is sigma<0.7.

 

36. 1. Null: mu=54, Alternative: mu>54

    2. The marketing campaign encouraging more to consume popcorn was successful. The research shows that the mean annual consumption of popcorn is now greater than 54 quarts.

    3. Type 1 error was made by the marketing department. The probability of making a Type 1 error is 0.

37. 1. Null: p=.028, Alternative: p>.028

    2. The proportion of high school students who use e-cigs are not as high as expected. The proportion of high school students who use e-cigs within this school is p=.028.

    3. Type II error