A meteorologist stated that the average temperature during July in Orlando, Florida is exactly 80 degrees.A sample of 32 Julys was taken.If you wanted to challenge the statement, the correct set of hypothesis would be A)H₀: $\mu$ 80 C)H₀: $\mu$ = 80; H_a: $\mu$ $\neq$ 80 D)H₀:$\mu$$\neq$ 80; H_a:$\mu$ = 80 E)none of the above

Question

A meteorologist stated that the average temperature during July in Orlando, Florida is exactly 80 degrees.A sample of 32 Julys was taken.If you wanted to challenge the statement, the correct set of hypothesis would be A)H₀: $\mu$< 80; H_a: $\mu$$\le$ 80 B)H₀: $\mu$$\le$80; H_a: $\mu$ > 80 C)H₀: $\mu$ = 80; H_a: $\mu$ $\neq$ 80 D)H₀:$\mu$$\neq$ 80; H_a:$\mu$ = 80 E)none of the above

Quizplus · Accepted Answer

The correct set of hypotheses to challenge the statement would be a null hypothesis stating the average temperature is equal to 80 degrees (H0: μ = 80) and an alternative hypothesis stating the average temperature is not equal to 80 degrees (Ha: μ ≠ 80). This is a two-tailed test because the challenge is about the average being different (either higher or lower) than stated, not specifically higher or lower.

A Meteorologist Stated That the Average Temperature During July in Orlando