Question

In: Statistics and Probability

The belief is that the mean number of hours per week of part-time work of high...

The belief is that the mean number of hours per week of part-time work of high school seniors in a city is 10.4 hours. Data from a simple random sample of 28 high school seniors indicated that their mean number of part-time work was 11.5 with a standard deviation of 1.3. Test whether these data cast doubt on the current belief. (use α = 0.05) 1.) State your null and alternative hypotheses.

2.) State the rejection region.

3.) Calculate the test statistic.

4.) Determine the P-value for your test.

5.) State your conclusion for your hypothesis test.

Solutions

Expert Solution

1. Null and Alternative Hypothesis:

H0:  the mean number of hours per week of part-time work of high school seniors in a city is 10.4 hours

H1:  the mean number of hours per week of part-time work of high school seniors in a city is not 10.4 hours

i.e.

(5) Conclusion

It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that the population mean μ is different than 10.4, at the 0.05 significance level.

i.e. Thus we conclude that the mean number of hours per week of part-time work of high school seniors in a city is not 10.4 hours

orchestra answered 2 years ago
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