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, population mean mu
• 10. Left tailed, population proportion p
• 11. Two tailed, population standard deviation sigma

 

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

    2. If I believe that a jar of peanut butter contains mu < 32 ounces when in fact the jars are not being underfilled and contains at least 32 ounces. I reject the null hypothesis when the null hypothesis is true.

    3. If I do not reject the null hypothesis that mu = 32 ounces when in fact the peanut butter manufacturer is shortening customers and mu is < 32 ounces (the alternative hypothesis is true)

19. 1. H0: Sigma = 0.7 psi. H1: Sigma < 0.7 psi.

    2. If I believe that the standard deviation in the pressure required to open a certain valve is s < 0.7 psi when in fact the pressure variability has not been reduced. I reject the null hypothesis when the null hypothesis is true.

    3. If I do not reject the null hypothesis that s = 0.7 psi when in fact the pressure variability has been reduced and is s < 0.7 psi (the alternative hypothesis is true).

 

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

    2. There is sufficient evidence to conclude that the mean consumption of popcorn annually by Americans is more than 54 quarts thus the campaign was a success.

    3. A type I error has been made. The probability of making a type I error is less than or equal to a=0.05

37. 1. H0: p = 2.8% H1: p > 2.8%

    2. There is not sufficient evidence to say that the proportion of the use of e-cigs at the counselor school is higher than 2.8%

    3. Type II error