A weatherman stated that the average temperature during July in Chattanooga is 80 degrees or less. A sample of 32 Julys is taken to test the weatherman's statement. The correct set of hypotheses is A) H₀: μ 80 H_a: μ 80. C) H₀: μ ≠ 80 H_a: μ = 80. D) H₀: μ 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 to test the weatherman's statement. The correct set of hypotheses is A) H₀: μ 80 H_a: μ < 80. B) H₀: μ 80 H_a: μ > 80. C) H₀: μ ≠ 80 H_a: μ = 80. D) H₀: μ < 80 H_a: μ > 80.

Quizplus · Accepted Answer

The null hypothesis should reflect the weatherman's statement, which is that the average temperature during July in Chattanooga is 80 degrees or less. Therefore, the null hypothesis should be H0: μ ≤ 80. The alternative hypothesis should reflect the possibility that the average temperature during July in Chattanooga is greater than 80 degrees, since the weatherman's statement implies that 80 degrees is the maximum average temperature. Therefore, the alternative hypothesis should be Ha: μ > 80. The correct set of hypotheses is therefore H0: μ ≤ 80 versus Ha: μ > 80, which is equivalent to choice B.

A Weatherman Stated That the Average Temperature During July in Chattanooga