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A New Study Has Found That,on Average,6- to 12-Year-Old Children

question 57

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A new study has found that,on average,6- to 12-year-old children are spending less time on household chores today compared to 1981 levels.Suppose two samples representative of study's results report the following summary statistics for the two periods. 1981 Levels
2008 Levels A new study has found that,on average,6- to 12-year-old children are spending less time on household chores today compared to 1981 levels.Suppose two samples representative of study's results report the following summary statistics for the two periods. 1981 Levels 2008 Levels 30 minutes 24 minutes S<sub>1</sub> = 4.2 minutes S<sub>2</sub> = 3.9 minutes N<sub>1</sub> = 30 N<sub>2</sub> = 30 Using a 5% confidence level,which of the following is correct? A) Reject H<sub>0</sub>: µ<sub>1</sub>− µ<sub>2</sub> ≤ 0 and therefore do not conclude that relative to the 1981 levels,6- to 12-year-old children spent less time in 2008 on household chores. B) Do not rejectH<sub>0</sub>: µ<sub>1</sub>− µ<sub>2</sub> ≤ 0 and therefore conclude that relative to the 1981 levels,6- to 12-year-old children spent less time in 2008 on household chores. C) Reject H<sub>0</sub>: µ<sub>1</sub>− µ<sub>2</sub> ≤ 0 and therefore conclude that relative to the 1981 levels,6- to 12-year-old children spent less time in 2008 on household chores. D) Do not reject H<sub>0</sub>: µ<sub>1</sub>- µ<sub>2</sub> ≤ 0 and therefore do not conclude that relative to the 1981 levels,6- to 12-year-old children spent less time in 2008 on household chores. 30 minutes A new study has found that,on average,6- to 12-year-old children are spending less time on household chores today compared to 1981 levels.Suppose two samples representative of study's results report the following summary statistics for the two periods. 1981 Levels 2008 Levels 30 minutes 24 minutes S<sub>1</sub> = 4.2 minutes S<sub>2</sub> = 3.9 minutes N<sub>1</sub> = 30 N<sub>2</sub> = 30 Using a 5% confidence level,which of the following is correct? A) Reject H<sub>0</sub>: µ<sub>1</sub>− µ<sub>2</sub> ≤ 0 and therefore do not conclude that relative to the 1981 levels,6- to 12-year-old children spent less time in 2008 on household chores. B) Do not rejectH<sub>0</sub>: µ<sub>1</sub>− µ<sub>2</sub> ≤ 0 and therefore conclude that relative to the 1981 levels,6- to 12-year-old children spent less time in 2008 on household chores. C) Reject H<sub>0</sub>: µ<sub>1</sub>− µ<sub>2</sub> ≤ 0 and therefore conclude that relative to the 1981 levels,6- to 12-year-old children spent less time in 2008 on household chores. D) Do not reject H<sub>0</sub>: µ<sub>1</sub>- µ<sub>2</sub> ≤ 0 and therefore do not conclude that relative to the 1981 levels,6- to 12-year-old children spent less time in 2008 on household chores. 24 minutes
S1 = 4.2 minutes
S2 = 3.9 minutes
N1 = 30
N2 = 30
Using a 5% confidence level,which of the following is correct?

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