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An accountant claims to be able to complete a standard tax return in under an hour.For a random sample of 24 tax returns,the accountant averaged 63.2 minutes with a standard deviation of 7.7 minutes.
-What are the appropriate null and alternative hypotheses?

Question

The Next Questions Are Based On The Following Information: An accountant claims to be able to complete a standard tax return in under an hour.For a random sample of 24 tax returns,the accountant averaged 63.2 minutes with a standard deviation of 7.7 minutes. -What are the appropriate null and alternative hypotheses? A)H₀ : μ = 60 and H₁ : μ ≠ 60 B)H₀ : μ = 60 and H₁ : μ > 60 C)H₀ : μ = 60 and H₁ : μ < 60 D)H₀ : μ > 60 and H₁ : μ ≤ 60

Quizplus · Accepted Answer

The appropriate null hypothesis would be that the accountant takes an hour or longer to complete a standard tax return (μ≥60), and the alternative hypothesis would be that the accountant takes less than an hour to complete a standard tax return (μ<60). Therefore, the best choice is B, which states that the null hypothesis is μ=60, and the alternative hypothesis is μ>60. This choice aligns with the direction of the alternative hypothesis, and is the appropriate choice for a one-tailed test.

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