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: $\mu$ $\ge$ 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: $\mu$ $\ge$ 80 H_a: $\mu$ < 80 B)H₀: $\mu$ $\le$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 is that the average temperature during July in Chattanooga is 80 degrees or less, which is represented by H₀: F1F1F1S1μF1F1F10 = 80. The alternative hypothesis is that the average temperature during July in Chattanooga is greater than 80 degrees, which is represented by H_a: F1F1F1S1μF1F1F10 > 80. Option B correctly represents these hypotheses. Option A incorrectly places the inequality symbol in the null hypothesis, and Option C's alternative hypothesis is unclear. Option D represents the correct alternative hypothesis but the null hypothesis is incorrectly stated.

A Weatherman Stated That the Average Temperature During July in Chattanooga