STATISTIC ASSIGNMENT

Due Week 10 and worth 140 points

Imagine you are a quality manager at pharmacy fulfillment warehouse. Customers have begun to complain that aspirin count in the 500 tablet bottles is less than the label claim.

Your boss wants to solve the problem at hand and has asked you to investigate. You have your employees pull thirty (30) bottles at random from the warehouse. You ask your employees to record the number of tablets in each bottle.

Note: Use the data set provided by your instructor to complete this assignment. 

Write a two to three (2-3) page report in which you:

1. Calculate the mean, median, and standard deviation of the number of tablets.

2. Construct a 95% Confidence Interval for the tablet count.

3. Conduct a hypothesis test to verify if the claim that the bottles contain less than 500 tablets is supported. Clearly state the logic of your test, the calculations, and the conclusion of your test.

4. Provide the following discussion based on the conclusion of your test:  

a. If you conclude that the bottles have less than 500 tablets, speculate on three (3) possible causes. Next, suggest the strategies to improve the performance in the future.

Or

b. If you conclude that the claim of the bottle complaints is not supported or justified, provide a detailed explanation to your boss about the situation. Include your speculation on the reason(s) behind the claim recommend one (1) strategy geared toward mitigating this issue in the future.

Your assignment must follow these formatting requirements:

· Be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides.  No citations and references are required, but if you use them, they must follow APA format. Check with your professor for any additional instructions.

· Include a cover page containing the title of the assignment, the student’s name, the professor’s name, the course title, and the date. The cover page and the reference page are not included in the required assignment page length.

DQ#1

Please respond to one (1) of the following two (2) bulleted items:

· Debate the following statement: "Correlation means Causation." Determine whether this statement is true or false, and provide reasoning for your determination, using the Possible Relationships Between Variables table from your textbook.

· Biddle and Hamermesh (1990) built a multiple regression model to study the tradeoff between time spent in sleeping and working, and to look at other factors affecting sleep:

Sleep = β0 + β1 totwrk + β2 educ + β3 age + ε

where sleep and totwrk (total work) are measured in minutes per week and educ and age are measured in years. Suppose the following equation is estimated:

Sleep = 3500 – 0.15 totwrk – 11.20 educ + 2.29 age + ε

·

. Discuss what would happen to someone’s sleep if they choose to work more.

. Analyze whether the factors of totwrk, educ, and age are enough factors to explain the variation in sleep. Explain which additional factors should be explored in order to explain the variation in sleep. Provide your reasoning.

DQ#2

Testing the Difference Between Two Means." (Note: Please respond to one [1] of the following two [2] bulleted items)

· What two assumptions must be met when you are using the z test to test differences between two means? Can the sample standard deviations s1 and s2 be used in place of the population standard deviations σ1 and σ2?

· Retired workers and disabled workers both receive Social Security benefits. What information would we need to test the claim that the difference in monthly benefits between the two groups is greater than $30 at the 0.05 level of significance? Write out the hypotheses and explain the testing procedure