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: μ ≥ 80 Ha: μ 80 C) H0: μ ≠ 80 Ha: 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. The correct set of hypotheses is A) H0: μ ≥ 80 Ha: μ < 80 B) H0: μ ≤ 80 Ha: μ > 80 C) H0: μ ≠ 80 Ha: μ = 80 D) H0: μ < 80 Ha: μ > 80

Quizplus · Accepted Answer

The statement "average temperature during July in Chattanooga is 80 degrees or less" suggests that the null hypothesis should be that the true population mean is equal to or less than 80 degrees. Therefore, the correct null hypothesis is H0: μ ≤ 80. The alternative hypothesis should be the opposite of the null hypothesis, stating that the true population mean is greater than 80 degrees, which is Ha: μ > 80. This leads us to the correct choice of B.

A Weatherman Stated That the Average Temperature During July in Chattanooga