STAT200 UMUC Descriptive Statistics Questions Response

User Generated

Tvey0025

Mathematics

STAT200

University of Maryland University College

Description

Important: (General Guidance)

• Report your findings using APA style/format (as you did in Assignment #2). The questions below should guide you. You are to analyze the data using Descriptive Statistics AND the appropriate statistical test needed – based on the question.

• Be sure you include: o a brief introduction o a descriptive analysis o a statistical analysis allowing you to answer the question, directly. o outcomes (with appropriate tables and graphs), and a summary

Questions (Use to guide you in writing up results for all three parts of the assignment. Remember: APA Style Report format)

1. Describe the data (descriptives at least one graph/chart per problem)

2. What statistic(s) did you use? Why?

3. Based on the results of your statistical analysis, summarize and interpret your findings.


Question 1: Paint Hardness A chemical engineer wants to compare the hardness of four blends of paint. Six samples of each paint blend were applied to a piece of metal, which was then cured. Then each sample was measured for hardness.

Question 2: Contact Lens Cleaner Data An engineer for a vision care company tests a new cleaning solution for contact lenses. The engineer wants to verify that the new solution cleans lenses as well as the leading brand. The engineer has 14 participants wear contact lenses for a day, and then clean the lenses. Each participant cleans one lens in the new solution and the other lens in the leading brand. The engineer assesses the cleanliness of each lens by measuring the angle of contact for a drop of fluid on the lens. The angle of contact is affected by film or deposits on the lens. To be equivalent, the mean angle for the new solution should be within ±0.5 degrees of the mean angle of the leading brand.

Question 3: Aluminum Properties Data An engineer at an aluminum castings plant assesses the relationship between the hydrogen content and the porosity of aluminum alloy castings. The engineer collects a random sample of 14 castings and measures the following properties of each casting: hydrogen content, porosity, and strength.

This assignment should not be longer than five 1.5 spaced pages 12point. Be direct in your writing

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Assignment #3 Stat200 (7368) Fall 2019 First Submission Due November 18, 2019 at 11:59pm Corrections for Assignment #3 due November 20, 2019 ** Data: Assignment 3 All Data.xls (Data file has data and variable descriptions for Questions 1, 2, 3) Important: (General Guidance) • • Report your findings using APA style/format (as you did in Assignment #2). The questions below should guide you. You are to analyze the data using Descriptive Statistics AND the appropriate statistical test needed – based on the question. Be sure you include: o a brief introduction o a descriptive analysis o a statistical analysis allowing you to answer the question, directly. o outcomes (with appropriate tables and graphs), and a summary Questions (Use to guide you in writing up results for all three parts of the assignment. Remember: APA Style Report format) 1. Describe the data (descriptives at least one graph/chart per problem) 2. What statistic(s) did you use? Why? 3. Based on the results of your statistical analysis, summarize and interpret your findings. Question 1: Paint Hardness A chemical engineer wants to compare the hardness of four blends of paint. Six samples of each paint blend were applied to a piece of metal, which was then cured. Then each sample was measured for hardness. Question 2: Contact Lens Cleaner Data An engineer for a vision care company tests a new cleaning solution for contact lenses. The engineer wants to verify that the new solution cleans lenses as well as the leading brand. The engineer has 14 participants wear contact lenses for a day, and then clean the lenses. Each participant cleans one lens in the new solution and the other lens in the leading brand. The engineer assesses the cleanliness of each lens by measuring the angle of contact for a drop of fluid on the lens. The angle of contact is affected by film or deposits on the lens. To be equivalent, the mean angle for the new solution should be within ±0.5 degrees of the mean angle of the leading brand. Question 3: Aluminum Properties Data An engineer at an aluminum castings plant assesses the relationship between the hydrogen content and the porosity of aluminum alloy castings. The engineer collects a random sample of 14 castings and measures the following properties of each casting: hydrogen content, porosity, and strength. This assignment should not be longer than five 1.5 spaced pages 12point. Be direct in your writing. Paint Blend 2 Blend 3 Blend 4 Blend 1 Blend 1 Blend 3 Blend 1 Blend 2 Blend 2 Blend 2 Blend 4 Blend 2 Blend 4 Blend 4 Blend 3 Blend 1 Blend 1 Blend 3 Blend 1 Blend 4 Blend 4 Blend 3 Blend 2 Blend 3 Hardness Temp Operator 14.9 30.3 1 13 30.9 2 15 30.5 2 17 29.4 3 13.9 30 3 16.4 29.6 1 10.4 29.6 2 3.2 29.9 2 1.9 28.9 2 7.3 28.6 1 17.8 30.8 3 9.6 30.8 3 22.9 28.9 1 17.4 30.6 3 13.3 29.8 3 19.3 30 1 16.1 29.9 3 6.5 30.6 2 11.7 30.1 3 16.9 30.7 3 18.4 29.9 1 11.9 29.5 2 14.5 29.9 1 16.8 29.9 3 Worksheet column Paint Description Hardness Temp The hardness of each sample The curing temperature of the sample The operator who collected the sample: 1, 2, or 3 Operator Variable type The blend of paint tested: Blend Factor 1 , Blend 2 , Blend 3 , or Blend 4 Response Covariate Factor Subject 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Leading Brand 87.41 86.4 91.02 88.36 89.25 91.08 87.67 87.6 88.31 87.86 87.06 91.46 88.96 89.69 New 87.91 85.94 90.89 88.51 89.13 91.1 86.83 88.07 88.7 87.49 87.08 90.67 88.56 89.58 Worksheet column Leading Brand New Description The angle of contact for a drop of fluid on lenses cleaned with the leading brand solution The angle of contact for a drop of fluid on lenses cleaned with the new solution 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Hydrogen 0.18 0.21 0.21 0.21 0.22 0.22 0.23 0.23 0.24 0.24 0.25 0.26 0.27 0.28 Porosity 0.33 0.41 0.45 0.55 0.44 0.24 0.47 0.7 0.8 0.22 0.88 0.72 0.75 0.7 Strength 0.839305 1.122528 1.113087 1.1 0.70705 0.497513 0.53 0.520622 0.192873 0.54 0.390857 0.42 0.183479 0.24 Worksheet column Description Hydrogen The hydrogen content measurement of the sample Porosity Strength The porosity measurement of the sample The strength measurement of the sample
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Explanation & Answer

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OUTLINE
I.

Question one

II.

Question two

III.

Question three


Running head: Assignment #3 Stat200 (7368) fall 2019

Assignment #3 Stat200 (7368) fall 2019:
Name:
Institution affiliation:
Date:

1

Assignment #3 Stat200 (7368) fall 2019

2
Question one

Data description
A chemical engineer is striving to compare the hardness of four blends of paint. Each
paint blend has six samples that were applied to each piece of metal that was then cured.
Afterward, each sample was measured foe hardness. The data comprised of four variables which
are. Paint, hardness, temperature as well as operators as shown in the table
Table 1: Descriptive statistics
Hardness
Blend 1

Blend 2

Blend 3

Blend 4

mean

14.7

8.6

13.0

18.1

median

15.0

8.5

13.2

17.6

standard deviation

3.36

5.50

3.73

2.64

variance

11.31

30.25

13.91

6.95

Minimum

10.4

1.9

6.5

15

maximum

19.3

14...


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