Question

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 90 ​% confidence level. What does the confidence interval tell about the population of all college students in the​ state? 3.8 ​, 2.9 ​, 4.1 ​, 5.0 ​, 3.0 ​, 4.3 ​, 3.5 ​, 4.5 ​, 4.5 ​, 4.4 ​, 4.5 ​, 4.0 ​, 3.1 ​, 3.8 ​, 4.0 What is the confidence interval for the population mean mu ​?

Answer 1

Solution:

From the sample data

= 3.960 , S = 0.531

t critical value at 0.10 level with 14 df = 1.761

90% Confidence interval for is

- t * S / sqrt(n) < < + t * S / sqrt(n)

3.960 - 1.761 * 0.531 / sqrt(15) < < 3.960 + 1.761 * 0.531 / sqrt(15)

3.71 < <  4.20

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