# statistics

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.

 Sample Count Sample Count Sample Count 1 449 11 497 21 512 2 452 12 498 22 512 3 472 13 499 23 514 4 473 14 501 24 515 5 477 15 504 25 515 6 480 16 505 26 519 7 486 17 505 27 519 8 488 18 506 28 521 9 494 19 511 29 533 10 496 20 511 30 535

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

• Calculate the mean, median, and standard deviation of the number of tablets.
• Construct a 95% Confidence Interval for the tablet count.
• 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.
• 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.

The specific course learning outcomes associated with this assignment are:

• Calculate measurements of central tendency and dispersal.
• Determine confidence intervals for data.
• Describe the vocabulary and principles of hypothesis testing.
• Discuss application of course content to professional contexts.
• Use technological tools to solve problems in statistics.
• Write clearly and concisely about statistics using proper writing mechanics.