A Revenue Department Is Under Orders to Reduce the Time $\mathrm { H } _ { 0 } : \mu = 6.3$

question 7

Short Answer

A revenue department is under orders to reduce the time small business owners spend filling out pension form ABC-5500. Previously the average time spent on the form was 6.3 hours. In order to test whether the time to fill out the form has been reduced, a sample of 53 small business owners who annually complete the form was randomly chosen, and their completion times recorded. The mean completion time for ABC-5500 form was 6.1 hours with a standard deviation of 2.6 hours. In order to test that the time to complete the form has been reduced, state the appropriate null and alternative hypotheses. A) $\mathrm { H } _ { 0 } : \mu = 6.3$
$H _ { \mathrm { a } } : \mu < 6.3$

B) $H _ { 0 } : \mu = 6.3$
$H _ { \mathrm { a } } : \mu > 6.3$

C) $H _ { 0 } : \mu = 6.3$
$H_{\mathrm{a}}: \mu \neq 6.3$

D) $H _ { 0 } : \mu > 6.3$
$H _ { \mathrm { a } } : \mu < 6.3$

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Definitions:

Funds

Financial resources, especially those available for a specific purpose or required to cover a specific debt or purchase.

Federal Government

The national government of a federal state, which shares sovereignty with its provinces, states, or other political subdivisions.

Appoints

The act of designating someone to a position or role, often used within legal, organizational, or governmental contexts.

Judges

Persons appointed to decide cases in a court of law, interpret laws, and administer justice.