Statistical Quality Control
Assignment: Please read the material (Fundamentals of Quality Control and Improvement) and use the book to answers all questions as followed.
Note: Some questions are from Exercise and Problem of Fundamentals of Quality Control and Improvement.

Question 1 (Chapter 4):
A local hospital estimates that the number of patients admitted daily to the emergency room has a Poisson probability distribution with a mean of 4.0. What is the probability that on a given day
a) only 3 patients will be admitted?
b) at most 8 patients will be admitted?
c) no one will be admitted?
d) For each patient admitted, the expected daily operational expenses to the hospital are $600. If the hospital wants to be 94.1% sure of meeting daily expenses, how much money should it retain for operational expenses daily?
Question 2 (Chapter 4):
The specifications for the thickness of nonferrous washers are 1.0 +/- 0.04 mm. From the process data, the distribution of the washer thickness is estimated to be normal with a mean of 0.97 mm and a standard deviation of 0.02 mm. The unit cost of rework is $0.10, and the unit cost of scrap is $0.15. For a daily production of 10,000 items:
a) What proportion of the washers is conforming? What is the total daily cost of rework and scrap?
b) In its study of constant improvement, the manufacturer changes the mean setting of the machine to 1.0 mm. If the standard deviation is the same as before, what is the total daily cost of rework and scrap?
c) The manufacturer is trying to further improve on the process and reduces its standard deviation to 0.015 mm. If
the process mean is maintained at 1.0 mm, what is the percent decrease in the total daily cost of rework and scrap compared to that of part (a)?
Question 3 (Chapter 4):
The time to repair an equipment is known to be exponentially distributed with a mean of 45min.
(a) What is the probability of the machine being repaired within half an hour?
(b) If the machine breaks down at 3P.M. and a repairman is available immediately, what is the probability of the machine being available for production by the start of the next day? Assume that the repairman is available until 5P.M.
(c) If there are two machines being repaired, what is the probability that both machines will not be available within the next 50 minutes?
Question 4 (Chapter 4, exercise 4-4):
Explain the difference between accuracy and precision of measurements. How do you control for accuracy? What can you do about precision?
Question 2 (Chapter 4, exercise 4-11):
Consider the price of homes in a large metropolitan area. What kind of distribution would you expect in terms of skewness and kurtosis? As an index, would the mean or median price be representative? What would the interquartile range indicate?

XN Project: Pros & Cons Paper
Sponsor: Viacom
Company name:  Viacom
Project title:  Visualization for Audience Performance
Project Description:  Some background- as a media and entertainment company Viacom creates content, and creates content on behalf of client advertisers, which we distribute to our various platforms, one being our social handles. On our social handles we target many different types of audiences. For this project we hope to understand which audiences have been most successful for us in the past, and using this knowledge can we understand which audiences will be most valuable for us in the future. Audiences on social come in all shapes and sizes, some may be very niche and specific, for example all tennis-players above 65, and some may be much more broad, for example anyone living in the US above 18. Each audience will have a unique behavioral profile that we wish to understand. We want to students to strategize, given the performance and delivery data that we have on our social audiences, what types of audiences should we focus our resources on given various objectives.  First, we want to understand the performance of our content across the various audience types. For example, how many impressions, video views, engagements have these audiences accrued, how many times have the audiences been targeted for various ad campaigns, and how much does it cost to target them. We also want to understand the size of the audiences and how that may relate to performance of given ad campaigns. The objectives we want to optimize for are total impressions, total reach (unique impressions), total video views, total engagements, engagement rate (engagements/impressions), high video retention, and low cost. We’re looking for understanding on which audiences should be used given the objective, and can we understand attributes of an audience may contribute to good performance in a given objective.

Goal:  Students will be expected to create visualizations of the performance of the audiences; these may include average number of impressions delivered per ad, average cpm per ad etc. Also, which audiences or group of audiences would be most suitable for a given objective and what are audience attributes that contribute strongly to performing well in a given objective. Students are expected to summarize their results in a powerpoint presentation.  Students will help Viacom understand if they are reaching the right audience on their social media channels by analyzing the performance of various ad campaigns that target various audiences. Students will develop an analysis using real-world data to understand what drives success in reaching the right audience for the right objective. Finally, students will gain experience in summarizing their results using visualizations and presentations.

Assignment: XN Pros & Cons Paper
Requirement: 500 words. Pros & Cons of Data as it relates to Viacom Business Performance Impact APA formatting – Title page, reference page, headers, citing references within the body, etc