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# Question 7 (1 point) You are interested in whether the average lifetime of Duracell AAA batteries...

Question 7 (1 point)

You are interested in whether the average lifetime of Duracell AAA batteries is less than the average lifetime of Energizer AAA batteries. You lay out your hypotheses as follows: Null Hypothesis: μ1 ≥ μ2, Alternative Hypothesis: μ1 < μ2 (Duracell = Group 1, Energizer = Group 2). You perform an experiment on 23 randomly selected Duracell AAA batteries and 33 randomly selected Energizer AAA batteries and test them using a battery drainer. The Duracells had an average lifetime of 28.88 hours (SD = 2.519 hours) while the Energizer batteries had an average lifetime of 28.55 hours (SD = 2.712 hours). Assuming the population standard deviations to be equal, what is the test statistic and p-value of this test?

Question 7 options:

 1) Test Statistic: 0.461, P-Value: 0.3233
 2) Test Statistic: -0.461, P-Value: 0.3233
 3) Test Statistic: -0.461, P-Value: 0.6767
 4) Test Statistic: 0.461, P-Value: 0.6767
 5) Test Statistic: 0.461, P-Value: 1.3534

Question 8 (1 point)

Does the amount of hazardous material absorbed by the bodies of hazardous waste workers depend on gender? The level of lead in the blood was determined for a sample of men and a sample of women who dispose of hazardous waste as a full time job. You want to test the hypotheses that the amount absorbed by men is different from the amount absorbed by women. After performing a hypothesis test for two independent samples, you see a p-value of 0.0172. Of the following, which is the appropriate conclusion?

Question 8 options:

 1) We did not find enough evidence to say a significant difference exists between the average amount of lead absorbed by men and the average amount of lead absorbed by women.
 2) The average amount of lead absorbed by men is significantly greater than the average amount of lead absorbed by women.
 3) The average amount of lead absorbed by men is significantly less than the average amount of lead absorbed by women.
 4) The average amount of lead absorbed by men is equal to the average amount of lead absorbed by women.
 5) The average amount of lead absorbed by men is significantly different from the average amount of lead absorbed by women.

Question 9 (1 point)

Do sit down restaurant franchises and fast food franchises differ significantly in stock price? Specifically, is the average stock price for sit-down restaurants less than the average stock price for fast food restaurants? A hypothesis test for two independent samples is run on data recorded from the stock exchange and a p-value is calculated to be 0.9051. What is the appropriate conclusion?

Question 9 options:

 1) The average stock price of sit-down restaurants is significantly less than the average stock price of fast food restaurants.
 2) We did not find enough evidence to say a significant difference exists between the average stock price of sit-down restaurants and the average stock price of fast food restaurants.
 3) We did not find enough evidence to say the average stock price of sit-down restaurants is greater than the average stock price of fast food restaurants.
 4) The average stock price of sit-down restaurants is greater than or equal to the average stock price of fast food restaurants.
 5) We did not find enough evidence to say the average stock price of sit-down restaurants is less than the average stock price of fast food restaurants.

Question 10 (1 point)

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The federal government recently granted funds for a special program designed to reduce crime in high-crime areas. A study of the results of the program in high-crime areas of Miami, Florida, are being examined to test the effectiveness of the program. The difference in crimes reported is calculated as (crimes after - crimes before). You want to test whether the average number of crimes reported after are greater than the average number of crimes reported before. What are the hypotheses for this test?

Question 10 options:

 1) HO: μD > 0 HA: μD ≤ 0
 2) HO: μD = 0 HA: μD ≠ 0
 3) HO: μD ≤ 0 HA: μD > 0
 4) HO: μD ≥ 0 HA: μD < 0
 5) HO: μD < 0 HA: μD ≥ 0

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