A weatherman stated that the average temperature during July in Chattanooga is 80 degrees or less. A sample of 32 Julys is taken. The correct set of hypotheses is A)H₀: $\mu$ 80 H_a: $\mu$ 80 C)H₀: $\mu$ $\neq$80 H_a: $\mu$ = 80 D)H₀: $\mu$ 80

Question

A weatherman stated that the average temperature during July in Chattanooga is 80 degrees or less. A sample of 32 Julys is taken. The correct set of hypotheses is A)H₀: $\mu$ 80 H_a: $\mu$ < 80 B)H₀: $\mu$ 80 H_a: $\mu$> 80 C)H₀: $\mu$ $\neq$80 H_a: $\mu$ = 80 D)H₀: $\mu$ < 80 H_a: $\mu$ > 80

Quizplus · Accepted Answer

The null hypothesis (H0) is that the average temperature during July in Chattanooga is greater than 80 degrees (H₀: μ >= 80). The alternative hypothesis (Ha) is that the average temperature during July in Chattanooga is less than 80 degrees (H_a: μ < 80). This is a one-tailed hypothesis test because we are only interested in temperatures that are less than 80 degrees. Choice A has the correct alternative hypothesis but the null hypothesis is incorrect. Choice C has the correct null hypothesis, but the alternative hypothesis is incorrect, and it is not clear what the symbol "!=" means. Choice D has the correct hypotheses, but it is a two-tailed test, so it is not the best choice.

A Weatherman Stated That the Average Temperature During July in Chattanooga