Question

6. A random sample of 15 women’s resting pulse rates from the National Health and Nutrition

Examination Survey (NHANES) showed a mean of 73.5 beats per minute and standard deviation is 17.1

1. Assume that the pulse rates are Normally distributed.

1. (3 points) Find a 99% confidence interval for the population pulse rate of women. Write down what command you used and what numbers you entered.

(d) (2 points) Is it plausible that the population pulse rate for women is 80? Explain.

7. Pass rates for Intermediate Algebra at a community college are 52.6%. In an effort to improve pass rates in the course, faculty of the community college develop a mastery-based learning model where course content is delivered in a lab through a computer program. The instructor serves as a learning mentor for the students. Of the 480 students who enroll in the mastery-based course, 267 pass. Was the college’s effort to improve the pass rate successful? Use = 0.05.

1. (4 points) State the null and alternative hypotheses using both symbols and words (be sure to use the correct symbols).

2. (3 points) Show that the conditions for the CLT are satisfied.

3. (4 points) Perform the appropriate hypothesis test using technology. Write down what command you used and what numbers you entered. Report the values of the test statistic and p-value.

4. (1 point) Do you reject or fail to reject the null hypothesis?

(e) (2 points) State your conclusion in the context of this problem.

Answer 1