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 99% confidence level. What does the confidence interval tell about the population of all college students in the state?

3.6, 3.1, 4.0, 4.9, 3.0, 4.3, 3.6, 4.6, 4.6, 4.0, 4.4, 3.6, 3.3, 4.2, 3.7

What is the confidence interval for the population mean mu?

_ < u < _

nothing (Round to two decimal places as needed.)

3.49 < u < 4.37

Step-by-step explanation:

Data provided

3.6, 3.1, 4.0, 4.9, 3.0, 4.3, 3.6, 4.6, 4.6, 4.0, 4.4, 3.6, 3.3, 4.2, 3.7

The sample mean and deviation can be calculated with the following formulas

represent the sample mean

population mean

s=0.574 represent the sample standard deviation

n=15 represent the sample size  

Confidence interval

The confidence interval for the true mean is given by:

  (1)

The degrees of freedom, given by:

The Confidence is 0.99 or 99%, the significance is and , and the critical value would be

Replacing we got:

3.49 < u < 4.37

i think the correct option is the second option.

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation: