Answer to Question #330869 in Statistics and Probability for Jhon

Question

According to a factory employer, the mean working time of workers in the factory is 6 hours with a standard

deviation of 0.5 hours. A researcher interviewed 50% of the employees and found out that their mean working

time is 8 hours with a standard deviation of 1 hour. The 𝛼 level is 0.05.

Answer 1

a)

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

$H_o:\mu= 6$

$H_a:\mu\neq 6$

Note that these hypotheses constitute a two-tailed test.

For this analysis, the significance level is 0.05. The test method is a one-sample t-test.

b)

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: The mean working time for the workers in the factory is 6 hours.

Alternative hypothesis: The mean working time for the workers in the factory is not 6 hours.

Note that these hypotheses constitute a two-tailed test.

For this analysis, the significance level is 0.05. The test method is a one-sample t-test.