Question 1182690: Listed below are student evaluation ratings of courses, where a rating of 5 is for "excellent." The ratings were obtained at one university in a state. Construct a confidence interval using a 98% confidence level. What does the confidence interval tell about the population of all college students in the state?
4.0, 3.2, 4.0, 4.6, 3.1, 4.3, 3.5, 4.7, 4.7, 4.0, 4.0, 3.8, 3.4, 3.8, 3.5
What is the confidence interval for the population mean μ?
__ < μ < __ (Round to two decimal places as needed.)
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Assuming one may treat these as interval data,
the mean is 3.907
s=0.513
there are 15 items, so a t(0.99, df=14) is 2.624
the half-interval is 2.624*0.513/sqrt(15)=0.348
the interval is (3.559, 4.255)
This suggests with high confidence (90%) the true mean, unknown, is in this interval.
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