Community college instructors' salaries in one state are very low, so low that educators in that state regularly complain about their compensation. The national mean is $60,156, but instructors from Mississippi claim that the mean in their state is significantly lower. They survey a simple random sample of 33 colleges in the state and calculate a mean salary of $56,842 with a standard deviation of $10,813. Test the instructors' claim at the 0.10 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision. A. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance that the mean community college instructors' salary in Mississippi is significantly lower than the national mean. B. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance that the mean community college instructors' salary in Mississippi is significantly lower than the national mean. C. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance that the mean community college instructors' salary in Mississippi is significantly lower than the national mean. D. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance that the mean community college instructors' salary in Mississippi is significantly lower than the national mean.
Community college instructors' salaries in one state are very low, so low that educators in that state regularly complain about their compensation. The national mean is $60,156, but instructors from Mississippi claim that the mean in their state is significantly lower. They survey a simple random sample of 33 colleges in the state and calculate a mean salary of $56,842 with a standard deviation of $10,813. Test the instructors' claim at the 0.10 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision.
A. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance that the mean community college instructors' salary in Mississippi is significantly lower than the national mean.
B. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance that the mean community college instructors' salary in Mississippi is significantly lower than the national mean.
C. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance that the mean community college instructors' salary in Mississippi is significantly lower than the national mean.
D. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance that the mean community college instructors' salary in Mississippi is significantly lower than the national mean.
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