# Statistics Assignment using StatGraphics

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### Question Description

YOU MUST HAVE StatGraphics IN ORDER TO DO THIS ASSIGNMENT

Project Assignment Details

Step 1: Assignment Data

Download the data file Project Assignment Data. You’ll need to open statgraphics, then open by selecting File->Open->Open Data Source, choose “External Data File”, then browsing for your excel file.

Step 2: Project Report

As you work through the assignment, write your report using either the provided Project Assignment 2 Template or create your own document from scratch.

Page 1

Make a cover page, including your name, the date, instructor’s name, and “Project #2: ANOVA test of multiple means”.

Page 2

Does response to the “Price” question vary by gender? [Use StatGraphics output. Cut & paste directly but only the requested information.]

Hint: Compare—Multiple Samples—Multiple Sample Comparison—Data and Code Columns. Then use “Box and Whisker Plot” and use right mouse click—pane options for other modifications (like choosing vertical or horizontal plots, whichever fits your report better).

• Use StatGraphics to generate side-by-side boxplots for Male and Female responses to the “Price” question.
• Generate an ANOVA report for the difference between these categories.
• Conduct (by hand or using statgraphics) a t test of the difference of these two means. How does this p-value compare to the p-value from your ANOVA table?
• Based on the boxplot; discuss the results; i.e., write a report (in your words, 25-50 words) --> Compare the table data. What does the “data tell you” about the difference between the genders on this question?

Reflection Question #1: on the previous project we used a chi-squared test to address this same data. What was the difference between these two approaches? Which approach is better, and why?

Page 3

Does the answer to the “Variety” question vary by zip code? [Use StatGraphics output. Cut & paste directly but only the requested information.

Hint: Same as for page 2, and be sure “ANOVA Table” is checked as an option. For Reference: See statgraphics “how-to” videos

• Use StatGraphics and generate and print an analysis of variance (ANOVA) table for the ”Variety” question with the three Zip Code levels “treatments”. Based on the table results, conduct a test of hypothesis about the equality of the true mean satisfaction with the variety of shows for all three treatment means in your words --> Use the p-value Method, α=0.05 and do the following, all within the context of the problem (i.e., in your words):
• Use StatGraphics and generate and print an analysis of variance (ANOVA) table for the ”Variety” question with the Age levels “treatments”. Based on the table results, conduct a test of hypothesis about the equality of the true mean satisfaction with variety across age levels: in your words --> Use the p-value method, α=0.10 and do the following, all within the context of the problem (i.e., in your words):

i.state the hypotheses;

ii.state the p-value; and

iii.state the conclusion (use the scenario information to state this, and use your rejection criteria)

i.state the hypotheses;

ii.state the p-value; and

iii.state the conclusion (use the scenario information to state this, and use your rejection criteria).

Reflection Question #2: Does it seem reasonable to you that we use two different levels of significance for these two questions? If so, why? If not, why not? In either case, when does it seem reasonable to you to use a different value than 0.05 for alpha?

Example Template [Your Name] Sat Project #2: ANOVA Test of Multiple Means [Date Here] [Instructor Name Here] 1 Example Template Part I: Price and Gender 2 Example Template Part II: Variety and Zip Code 3
ID Price Value Variety Kinds Reliability Working Satisfaction Loyalty Package ID Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 (Yes = 1) 1 2 4 6 4 4 3 6 4 1 2 3 3 2 6 4 4 3 2 0 3 5 5 3 1 1 3 3 2 1 4 3 4 5 1 3 5 4 3 1 5 7 6 7 2 3 3 3 2 0 6 5 7 4 4 5 5 6 3 1 7 4 7 2 6 6 5 5 3 0 8 4 1 4 6 7 7 3 2 1 9 4 5 6 3 2 3 1 1 1 10 4 5 4 1 5 5 2 2 1 11 4 6 6 1 6 5 5 3 0 12 3 7 7 1 6 6 5 3 1 13 5 4 3 6 4 5 2 2 1 14 3 1 4 4 5 2 5 3 1 15 4 5 6 3 3 4 3 3 0 16 6 5 3 5 5 5 5 3 1 17 2 5 7 4 5 5 3 2 0 18 4 3 1 4 4 2 4 3 1 19 4 5 7 4 3 3 2 2 1 20 3 3 3 4 6 6 6 4 1 21 2 5 5 3 5 3 5 3 1 22 5 6 5 5 6 4 7 4 0 23 4 5 6 1 6 4 6 4 0 24 7 7 5 6 3 5 6 4 0 25 6 6 2 7 4 5 5 3 0 26 4 6 4 5 2 3 1 1 1 27 2 4 4 2 5 5 2 2 1 28 4 5 2 2 5 4 5 3 0 29 5 4 2 4 5 6 3 2 0 30 4 6 6 4 5 5 7 4 0 31 4 5 6 4 4 3 5 3 1 32 5 4 2 4 4 5 7 4 0 33 5 2 7 6 4 4 1 1 1 34 4 5 4 6 6 4 4 3 0 35 4 3 5 6 3 5 6 4 1 36 6 5 1 7 3 4 2 2 1 37 1 1 5 2 3 3 3 2 0 38 4 5 2 5 3 2 4 3 1 39 4 5 3 2 7 6 7 4 1 40 5 7 7 4 6 5 7 4 0 41 2 1 4 3 3 3 2 2 1 42 5 2 3 2 2 1 1 1 1 43 3 5 6 5 3 4 7 4 1 44 1 2 4 6 5 6 1 1 0 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 7 1 5 6 6 7 6 2 2 2 4 3 5 4 3 2 4 5 7 7 4 5 2 5 5 2 5 3 1 7 1 5 6 6 7 6 2 2 2 4 4 3 5 4 3 2 5 6 1 5 5 4 6 6 2 4 3 5 4 6 6 3 1 5 6 6 6 4 5 1 4 7 1 2 5 2 5 1 5 5 4 6 6 2 4 3 5 4 3 5 5 3 5 6 5 2 4 7 4 6 6 4 7 5 5 3 5 1 7 5 7 6 4 4 5 7 5 5 7 4 3 6 4 5 2 4 7 4 6 6 4 7 5 5 3 2 3 7 3 5 5 5 5 5 5 6 4 6 6 7 7 5 2 2 4 4 5 4 7 6 6 7 3 5 2 4 2 5 2 1 2 5 6 6 3 1 5 1 6 5 5 2 3 6 7 7 3 6 5 2 6 4 6 6 6 7 3 1 6 4 5 5 3 5 4 7 3 7 4 4 4 7 6 3 2 3 5 5 2 6 4 6 6 6 7 3 1 6 5 4 3 3 6 5 6 5 4 6 7 5 7 4 7 4 3 5 1 5 2 2 6 5 5 2 6 5 4 3 7 5 3 1 4 6 5 4 6 7 5 7 4 7 4 3 5 5 2 3 3 6 3 4 6 3 7 5 4 5 6 4 7 4 4 3 6 7 4 2 4 5 5 4 6 4 3 6 7 2 1 7 2 7 5 7 5 4 5 6 5 7 4 4 3 4 2 2 6 5 7 4 2 4 3 3 4 4 3 4 3 3 2 4 4 3 2 3 3 3 3 4 3 2 4 4 2 1 5 1 4 2 4 3 3 4 4 3 4 3 3 2 3 2 2 4 3 4 1 0 0 1 0 1 0 1 1 1 0 1 0 1 1 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 0 92 93 94 95 96 97 4 7 6 4 2 4 5 7 6 6 4 5 6 5 2 4 4 2 1 7 5 5 6 6 6 3 4 2 5 5 4 5 5 3 5 4 6 6 5 1 2 6 4 4 3 1 2 3 0 0 0 1 1 0 Gender Q10 (Male = 0) 0 0 0 1 0 1 1 0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 0 1 Zip Q11 201 219 219 221 201 201 221 221 221 201 221 201 221 201 201 221 221 221 221 221 219 201 221 201 201 201 201 221 219 221 201 201 221 221 221 201 221 221 221 221 201 201 201 201 Age Q12 1 5 1 3 4 1 4 1 2 4 4 4 3 5 3 5 1 1 5 2 1 2 2 3 2 3 5 2 3 1 3 5 5 1 3 2 1 4 2 5 2 3 5 2 1 1 0 1 1 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 221 221 221 201 201 221 201 201 201 219 221 201 219 219 201 221 201 219 201 219 201 201 221 221 201 219 219 221 221 219 201 221 201 201 201 201 221 221 221 221 221 221 201 221 201 219 221 3 4 1 2 5 2 4 1 4 5 2 5 1 3 3 4 5 2 1 2 4 4 3 4 5 2 3 5 2 3 4 1 2 5 2 4 1 4 5 2 4 5 1 5 2 1 2 0 0 0 1 1 0 201 201 201 219 201 219 2 3 2 3 4 3

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