Answer to Question #188596 in Statistics and Probability for francine

Question #188596

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 a level is 0.05.

In symbols?



1
Expert's answer
2021-05-07T11:37:41-0400

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.


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