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

question 57

Multiple Choice

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
S₁ = 4.2 minutes
S₂ = 3.9 minutes
N₁ = 30
N₂ = 30
Using a 5% confidence level,which of the following is correct?

• A) Reject H₀: µ₁− µ₂ ≤ 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 rejectH₀: µ₁− µ₂ ≤ 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 H₀: µ₁− µ₂ ≤ 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 H₀: µ₁- µ₂ ≤ 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.

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Definitions:

Public Program

A government-funded initiative designed to provide services, benefits, or support to the public.

Ear-marking

Allocating specific funds for a particular purpose or project, often used in governmental budgeting practices.

Appropriation

The act of setting aside funds by a legislative body for specific governmental purposes.

Collaborations

Joint efforts or partnerships between individuals, organizations, or entities to achieve common goals.