The average time to complete a degree at Townville Community College has histori
ID: 3065966 • Letter: T
Question
The average time to complete a degree at Townville Community College has historically been 21.9 weeks. A randomly selected sample of 51 students has an average completion time of 22.7 weeks with a sample standard deviation of 2.2 weeks. At =0.05, is there enough evidence to conclude that the mean time to complete a degree is now not equal to 21.9 weeks?
The two-tailed critical values are -2.01 and 2.01. The test statistic is 2.6. Can we conclude that the mean time to complete a degree is now not equal to 21.9 weeks, yes or no?
Explanation / Answer
As the test statistic value is greater than the upper the critical value (2.6 > 2.01), so the null hypothesis is rejected.
Yes, we can conclude that the mean time to complete a degree is now not equal to 21.9 weeks
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