A Revenue Department Is Under Orders to Reduce the Time $H _ { 0 } : \mu = 5.7$

question 141

Multiple Choice

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 5.7 hours. In order to test whether the time to fill out the form has been reduced, a sample of 86 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 5.5 hours with a standard deviation of 2.3 hours. In order to test that the time to complete the form has been reduced, state the appropriate null and alternative hypotheses.

• A) \(H _ { 0 } : \mu = 5.7\)
• \(H _ { \mathrm { a } } : \mu \neq 5.7\)
• B) \(H _ { 0 } : \mu = 5.7\)
• \(H _ { \mathrm { a } } : \mu > 5.7\)
• C) \(H _ { 0 } : \mu > 5.7\)
• \(H _ { \mathrm { a } } : \mu < 5.7\)
• D) \(\mathrm { H } _ { 0 } : \mu = 5.7\)
• \(H _ { \mathrm { a } } : \mu < 5.7\)

Understand the principle of square roots and cube roots, including complex numbers.

Apply knowledge of exponents and radicals to simplify expressions involving them.

Identify and describe the domain of given functions.

Understand real-world applications of radical expressions.

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Definitions:

Accommodating

The act of adjusting one's behavior or decisions to suit another's needs, preferences, or demands.

Machiavellian

Characterized by cunning, strategic manipulation, and a focus on self-interest and personal gain.

Conventional Morality

A stage of moral development where individuals adhere to rules and conventions of society to maintain order and relationships.

Lasting Relationships

Enduring bonds between individuals, characterized by mutual affection, respect, and a commitment to one another over time.