A report stated that the average number of overtime hours for IRS workers during the past week was more than 10 hours per worker.You will test that statement with a sample of workers.What null and alternative hypotheses would you recommend here if you want to choose a null hypothesis that is skeptical of the report's number? A) H₀: µ 10 units (The average overtime is more than 10 hours.) H_a: µ ≤ 10 units (The average overtime is no more than 10 hours.) B) H₀: µ = 10 units (The average overtime is 10 hours.) H_a: µ ≠ 10 units (The average overtime is not 10 hours.) C) H₀: µ ≠ 10 units (The average overtime is not be 10 hours.) H_a: µ = 10 units (The average overtime is 10 hours.) D) H₀: µ ≤ 10 units (The average overtime is no more than 10 hours.) H_a: µ 10 units (The average overtime is more than 10 hours.) E) H₀: µ 10 units (The average overtime is more than 10 hours.)

Question

A report stated that the average number of overtime hours for IRS workers during the past week was more than 10 hours per worker.You will test that statement with a sample of workers.What null and alternative hypotheses would you recommend here if you want to choose a null hypothesis that is skeptical of the report's number? A) H₀: µ > 10 units (The average overtime is more than 10 hours.) H_a: µ ≤ 10 units (The average overtime is no more than 10 hours.) B) H₀: µ = 10 units (The average overtime is 10 hours.) H_a: µ ≠ 10 units (The average overtime is not 10 hours.) C) H₀: µ ≠ 10 units (The average overtime is not be 10 hours.) H_a: µ = 10 units (The average overtime is 10 hours.) D) H₀: µ ≤ 10 units (The average overtime is no more than 10 hours.) H_a: µ > 10 units (The average overtime is more than 10 hours.) E) H₀: µ < 10 units (The average overtime is less than 10 hours.) H_a: µ > 10 units (The average overtime is more than 10 hours.)

Quizplus · Accepted Answer

The null hypothesis (H0) should express skepticism towards the report's claim, suggesting the average overtime is not more than 10 hours. Thus, H0: µ ≤ 10. The alternative hypothesis (H1) then states the average overtime is more than 10 hours, H1: µ > 10, which aligns with the report's statement.

A Report Stated That the Average Number of Overtime Hours