An educator claims that the average salary of substitute teachers in school districts in Allegheny County, Pennsylvania is less than $60 per day. A random sample of 8 school districts is selected, and the daily salaries are shown below. Is there enough evidence to support the educator's claims at alpha=0.10?
$60, 56. 60, 55, 70, 55, 60, 55
If we choose our null hypothesis to be mu>=$60, and our alternative
hypothesis to be mu<$60 as is the claim, alpha at 0.10,
degrees
of freedom = 7, we fiind out the following information:
Call up the STAT-TEST menu as shown. Choose option 2, the T-Test. | |
Choose the data option and put in your value for mu. Choose the calculate option and you will see the t-value, p-value, and other statistics. | |
Choosing the draw option gives the graph to the right. Notice that the t, and p-values appear here as well. | |
Choosing the Stats option uses the summary statistics to help solve the problem. By the way, since .27559>.10 the decision we make here is to not reject the null hypothesis. |