2. (20 points) Choose a social media platform (e.g., Twitter, Instagram, Clubhouse) and discuss how they could adopt a quality improvement program. Specifically, discuss what their customers want, what the company might measure, and how they could use these measurements.

3. (20 points) Of the quality pioneers we discussed (Deming, Juran, Crosby, and Garvin) whose ideas do you think are most applicable to a vaccine manufacturer (e.g., Sinovac, Pfizer)? Briefly explain why. List at least three specific ideas of the quality pioneer that you choose to support your answer.

4. (40 points) A new drug was administered to a group of 30 randomly selected patients while another group of 30 was given a placebo. After six months, the data on the next page was obtained on their systolic blood pressure, blood glucose level, and total cholesterol level. The distributions are independent and normal across two patient groups and three characteristics.

(a) Can we conclude that the mean systolic blood pressure for the control group exceeds 130? Use = 0.025.

(b) Can we conclude that the variance of systolic blood pressure for the treated group is less than 75? Use = 0.05.

(c) Can we conclude that the drug was effective in reducing the mean cholesterol level? Use = 0.05 and assume the variances are equal. What is the p-value?

(d) For the hypothesis test you conducted in part (c), find the type 2 error probability for a true decrease of 5 in the mean cholesterol level.

(e) Construct a 95% confidence interval on the ratio of the variances of blood glucose level for the control and treated groups. Just by looking at this confidence interval, can we conclude that the variances are different? Why or why not?