Question

In: Statistics and Probability

State the null and alternative hypotheses for each of the following situations. (That is, identify the...

State the null and alternative hypotheses for each of the following situations. (That is, identify the correct number μ₀ and write H₀:μ=μ0 and the appropriate analogous expression for Ha.)

A. The average July temperature in a region historically has been 74.5°F. Perhaps it is higher now.

B. The average weight of a female airline passenger with luggage was 145 pounds ten years ago. The FAA believes it to be higher now.

C. The average stipend for doctoral students in a particular discipline at a state university is $14,756. The department chairman believes that the national average is higher.

D. The average room rate in hotels in a certain region is $82.53. A travel agent believes that the average in a particular resort area is different.

E. The average farm size in a predominately rural state was 69.4 acres. The secretary of agriculture of that state asserts that it is less today.

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Expert Solution

A. The average July temperature in a region historically has been 74.5°F. Perhaps it is higher now.

Null hypothesis: H₀: The average July temperature in a region historically is 74.5°F.

Alternative hypothesis: H_a: The average July temperature in a region historically is greater than 74.5°F.

H₀: µ = 74.5°F versus H_a: µ > 74.5°F

B. The average weight of a female airline passenger with luggage was 145 pounds ten years ago. The FAA believes it to be higher now.

Null hypothesis: H₀: The average weight of a female airline passenger with luggage is 145 pounds.

Alternative hypothesis: H_a: The average weight of a female airline passenger with luggage is greater than 145 pounds.

H₀: µ = 145 versus H_a: µ > 145

C. The average stipend for doctoral students in a particular discipline at a state university is $14,756. The department chairman believes that the national average is higher.

Null hypothesis: H₀: The average stipend for doctoral students in a particular discipline at a state university is $14,756.

Alternative hypothesis: H_a: The average stipend for doctoral students in a particular discipline at a state university is greater than $14,756.

H₀: µ = 145 versus H_a: µ > 145

D. The average room rate in hotels in a certain region is $82.53. A travel agent believes that the average in a particular resort area is different.

Null hypothesis: H₀: The average room rate in hotels in a certain region is $82.53.

Alternative hypothesis: H_a: The average room rate in hotels in a certain region is not $82.53.

H₀: µ = 82.53 versus H_a: µ ≠ 82.53

E. The average farm size in a predominately rural state was 69.4 acres. The secretary of agriculture of that state asserts that it is less today.

Null hypothesis: H₀: The average farm size in a predominately rural state is 69.4 acres.

Alternative hypothesis: H_a: The average farm size in a predominately rural state is less than 69.4 acres.

H₀: µ = 69.4 versus H_a: µ < 69.4

orchestra answered 1 year ago

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