My mean is 175.5 �My standard deviation is=90.57 �Sample=25 ��Formula to be used: P(X>190)=P((X-mean)/s �sqrt of my sample is = 5 (Which is the square root of 25.)�(190-175.5) / 90.57/5) �14.5/18.114 �calculator says 0.8004858120790548746825659710721 �I check the z-table and I see -.8 under the z of 0.00 correlates to .2119

�So the probability is =0.2119 �

Select a random sample of 30 student responses to question 6, "How many credit hours are you taking this term?" Using the information from this sample, and assuming that our data set is a random sample of all Kaplan statistics students, estimate the average number of credit hours that all Kaplan statistics students are taking this term using a 95% level of confidence. Be sure to show the data from your sample and the data to support your estimate.
 

To estimate the average number of credit hours that all Kaplan statistics students are taking this term with a 95% confidence level, you can use a confidence interval.

1. Start by collecting a random sample of 30 student responses to the question "How many credit hours are you taking this term?" Let's assume you have gathered the following data:

Sample size (n) = 30
Sample mean (x̄) = 12
Sample standard deviation (s) = 3

2. Calculate the margin of error (E) using the formula:
E = (Z * s) / sqrt(n)

Since you want a 95% confidence level, you need to find the z-score that corresponds to that confidence level. The z-score for a 95% confidence level is approximately 1.96.

E = (1.96 * 3) / sqrt(30)
E ≈ 1.079

3. Determine the confidence interval.
The confidence interval is calculated by subtracting and adding the margin of error from the sample mean.
CI = x̄ ± E

CI = 12 ± 1.079

Therefore, the confidence interval is (10.921, 13.079).

This means that with 95% confidence, we can estimate that the average number of credit hours that all Kaplan statistics students are taking this term falls within the range of 10.921 to 13.079.

Make sure to mention the data from your sample (sample size, sample mean, and sample standard deviation) and explain the process of calculating the confidence interval using the margin of error and the z-score for the desired confidence level.