Can someone please help me on how to work this out?? I'm so super confused. Thanks!

A professor at Kaplan University claims that the average age of all Kaplan students is 36 years old. Use a 95% confidence interval to test the professor's claim. Is the professor's claim reasonable or not? Explain

First find the total age of all students from MM207(9062). Divide 9062 by the total students 244. The answer is 37.139 or 37. 95% confidence interval is 1.96. 37 + or - 1.96 =39 or 35. The professor's claim is quite reasonable.

Apparently Sharon has more data than is indicated on your post. Also I don't know how she found the SD.

95% = mean ± 1.96 SD

To test the professor's claim about the average age of Kaplan University students, we need to calculate a 95% confidence interval based on sample data. Here's how you can do it:

1. Collect a random sample of Kaplan University students and record their ages. It's important to ensure that the sample is representative of the entire student population.

2. Calculate the sample mean, which is the average age of the students in your sample.

3. Determine the standard deviation (σ) of the sample. This measures the variability of ages within the sample.

4. Determine the sample size (n), which is the number of students in your sample.

5. Calculate the standard error (SE) of the sample mean. The formula is SE = σ / √n, where √n represents the square root of n.

6. Determine the critical value for a 95% confidence level. For a two-tailed test, which we assume here, this value is 1.96.

7. Calculate the margin of error (ME), which is the product of the critical value and the standard error. ME = 1.96 * SE.

8. Calculate the lower and upper limits of the confidence interval. The lower limit is the sample mean minus the margin of error, and the upper limit is the sample mean plus the margin of error.

9. Finally, check if the professor's claim of the average age being 36 years falls within the calculated confidence interval. If it does, the claim is reasonable; otherwise, it is not.

By following these steps, you can calculate the confidence interval and determine if the claim is reasonable or not.