The average manufacturing work week in metropolitan Chattanooga was 40.1 hours last year.It is believed that the recession has led to a reduction in the average work week.To test the validity of this belief,the hypotheses are A)H₀: $\mu$

Question

The average manufacturing work week in metropolitan Chattanooga was 40.1 hours last year.It is believed that the recession has led to a reduction in the average work week.To test the validity of this belief,the hypotheses are A)H₀: $\mu$ < 40.1 H_a: $\mu$ $\ge$ 40.1 B)H₀:$\mu$ $\ge$ 40.1 H_a: $\mu$ < 40.1 C)H₀: $\mu$ > 40.1 H_a: $\mu$ $\le$ 40.1 D)H₀: $\mu$ = 40.1 H_a:$\mu$ $\neq$ 40.1

Quizplus · Accepted Answer

The null hypothesis (H0) should always have an equal sign. Therefore, options A, C and D are incorrect. 
The alternative hypothesis (Ha) should reflect the possible reduction in the average work week due to the recession. As such, option B is the best choice, with the Ha stating that the population mean work week is less than 40.1 hours.

The Average Manufacturing Work Week in Metropolitan Chattanooga Was 40 μ\muμ

The Average Manufacturing Work Week in Metropolitan Chattanooga Was 40 $\mu$