Students at Claremore High School cut an average of 3.3 classes per month. A random sample of 125 seniors averages 3.8 cuts per month, with a standard deviation of 0.53. Are seniors significantly more likely to cut class than the student body as a whole? What is your estimate for the population mean number of classes cut per month by all seniors?
Given,
Estimate of population mean is sample mean, i.e.,
Our hypothesis is,
Test statistics:
Critical z value at 0.05 level of significance for one tailed test is 1.645
Since,
Therefore, we conclude that seniors are significantly more likely to cut class than the student body as a whole.
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