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.