-0— title: “HW10 Skeleton” output: html_document: default pdf_document: default —

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.
• 1. Right tailed.
  2. mu.
• 10. 1. Left tailed.
  2. Proportion.
• 1. two-tailed.
  2. sigma.

 

18. 1. Null Hypothesis: The peanut butter manufacturer is correctly filling the jars at a minimum of 32 ounces per jar.

    Alternative Hypothesis: The peanut butter manufacturer is filling the jars with less than 32 ounces.

    2. The evidence suggests that the manufacturer is filling the jars with less than 32 ounces when he is actually filling them correctly.

    3. The evidence suggests that the manufacturer is correctly filling the jars with 32 ounces when he is actually filling them with less.

19. 1. Null Hypothesis: The standard deviation of the valve pressure is 0.7.

    Alternative Hypothesis: The standard deviation of the valve pressure is less than 0.7.

    2. The evidence suggests that the standard deviation of the valve pressure is less than 0.7 psi, when the standard deviation is actually at the required pressure.

    3. The evidence suggests that the standard deviation of the valve pressure is at the required pressure, when it is actually below 0.7 psi.

 

36. 1. Null Hypothesis: The mean consumption of popcorn eaten annually by Americans is 54 quarts.

    Alternative Hypothesis: The mean consumption of popcorn eatan annually by Americans is greater than or equal to 54 quarts.

    2. Based on the evidence from the experiment, we can conclude that it is likely that Americans consume greater than or equal to 54 quarts of popcorn a year due to the success of the marketing campaign.

    3. Type II error, 0.05

37. 1. Null Hypothesis: 2.8% of high school students currently use electronic cigerettes.

    Alternative Hypothesis: More than 2.8 %high school students use ectronic cigerettes.

    2. There is not sufficiet evidence to conclude that more than 2.8 % of high school students use electronic cigerettes.

    3. A type II error was committed because there was a “missed discovery” –the percentage of students that smoke electronic cigerettes is higher than 2.8%, but the sample evidence says otherwise.