# Statistics Question

Assignment 4 – Week 4
Name: ___________________
Directions:
a) Enter all your answers into this Word document (immediately following the relevant question)
and submit the entire document. IMPORTANT: The name of your Word document MUST begin
with your LAST NAME, for instance SMITH-Assignment4. Do not forget to save it as Word
document, so the file name would be SMITH-Assignment4.docx
b) When you use a Template to calculate an answer, copy and paste the results into this document.
Chapter 17 #43 – Demand for Dairy Products.
United Dairies, Inc., supplies milk to several independent grocers throughout Dade County, Florida.
Managers at United Dairies want to develop a forecast of the number of half-gallons of milk sold per
week. Sales data for the past 12 weeks follow.
a. Construct a time series plot. What type of pattern exists in the data?
b. Use exponential smoothing with a = .4 to develop a forecast of demand for week 13.
Ch 12 – #22 – M&M Candy Colors.
Mars, Inc. manufactures M&M’s, one of the most popular candy treats in the world. The milk chocolate
candies come in a variety of colors including blue, brown, green, orange, red, and yellow. The overall
proportions for the colors are .24 blue, .13 brown, .20 green, .16 orange, .13 red, and .14 yellow. In a
sampling study, several bags of M&M milk chocolates were opened and the following color counts were
obtained.
Use a .05 level of significance and the sample data to test the hypothesis that the over-all proportions
for the colors are as stated above. What is your conclusion?
Ch 12 – #32 – Ambulance Calls by Day of Week.
An ambulance service responds to emergency calls for two counties in Virginia. One county is an urban
county and the other is a rural county. A sample of 471 ambulance calls over the past two years showed
the county and the day of the week for each emergency call. Data are as follows.
Test for independence of the county and the day of the week. Using a .05 level of significance, what is
the p-value and what is your conclusion?
Ch 13 – # 37 – College Attendance Rates.
The following data show the percentage of 17- to 24-year-olds who are attending college in several
metropolitan statistical areas in four geographic regions of the United States (U.S. Census Bureau
website, https://www .census.gov/data.html).
Use a = .05 to test whether the mean percentage of 17- to 24-year-olds who are attending college is the
same for the four geographic regions
Emergency County
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Day of Week
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45
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Thursday
Thursday
Friday
Monday
Friday
Friday
Friday
Tuesday
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Tuesday
Sunday
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Monday
Tuesday
Thursday
Sunday
Tuesday
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Friday
Thursday
Sunday
Friday
Saturday
Friday
Sunday
Monday
Tuesday
Sunday
Thursday
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Thursday
Wednesday
Thursday
Tuesday
Sunday
Sunday
Sunday
Wednesday
Wednesday
90
91
92
93
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95
96
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Rural
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Tuesday
Monday
Sunday
Friday
Saturday
Friday
Friday
Tuesday
Thursday
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Tuesday
Tuesday
Friday
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Wednesday
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Monday
Thursday
Tuesday
Sunday
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Tuesday
Thursday
Thursday
Wednesday
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Saturday
Friday
Wednesday
Tuesday
Monday
Thursday
Monday
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Friday
Saturday
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135
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Urban
Urban
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Rural
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Saturday
Friday
Thursday
Tuesday
Friday
Wednesday
Friday
Monday
Thursday
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Monday
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Thursday
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Tuesday
Sunday
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Tuesday
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Sunday
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180
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Urban
Urban
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Rural
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Urban
Rural
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Urban
Rural
Wednesday
Wednesday
Wednesday
Monday
Sunday
Wednesday
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Tuesday
Wednesday
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Wednesday
Saturday
Tuesday
Friday
Friday
Wednesday
Friday
Friday
Thursday
Saturday
Saturday
Sunday
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Saturday
Friday
Friday
Friday
Monday
Tuesday
Friday
Tuesday
Wednesday
Monday
Thursday
Sunday
Wednesday
Sunday
Tuesday
Tuesday
Wednesday
Saturday
Wednesday
Friday
Monday
225
226
227
228
229
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231
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269
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Rural
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Urban
Urban
Urban
Urban
Rural
Sunday
Tuesday
Thursday
Saturday
Monday
Friday
Friday
Sunday
Friday
Wednesday
Thursday
Tuesday
Thursday
Friday
Monday
Friday
Tuesday
Friday
Friday
Thursday
Sunday
Thursday
Saturday
Tuesday
Monday
Tuesday
Tuesday
Friday
Monday
Monday
Wednesday
Sunday
Sunday
Tuesday
Thursday
Tuesday
Wednesday
Friday
Saturday
Saturday
Friday
Sunday
Sunday
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Friday
270
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Thursday
Wednesday
Tuesday
Saturday
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Friday
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Wednesday
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Wednesday
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Friday
Friday
Friday
Monday
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Monday
Saturday
Friday
Friday
Saturday
Sunday
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Wednesday
315
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321
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328
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Urban
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Rural
Rural
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Urban
Rural
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Urban
Rural
Urban
Urban
Rural
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Rural
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Urban
Urban
Rural
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Rural
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Urban
Urban
Urban
Rural
Urban
Urban
Urban
Urban
Urban
Urban
Rural
Rural
Urban
Urban
Urban
Urban
Thursday
Tuesday
Monday
Monday
Tuesday
Saturday
Wednesday
Wednesday
Sunday
Wednesday
Friday
Saturday
Saturday
Tuesday
Saturday
Friday
Thursday
Saturday
Tuesday
Saturday
Friday
Wednesday
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Friday
Tuesday
Sunday
Monday
Sunday
Wednesday
Saturday
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Thursday
Tuesday
Thursday
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Thursday
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Tuesday
Sunday
Monday
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Saturday
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Saturday
360
361
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363
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365
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Urban
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Urban
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Rural
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Rural
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Rural
Urban
Rural
Urban
Urban
Urban
Urban
Urban
Rural
Urban
Urban
Urban
Urban
Urban
Wednesday
Saturday
Tuesday
Thursday
Saturday
Tuesday
Wednesday
Sunday
Sunday
Saturday
Tuesday
Tuesday
Thursday
Monday
Monday
Friday
Friday
Thursday
Wednesday
Tuesday
Sunday
Thursday
Friday
Wednesday
Friday
Saturday
Sunday
Tuesday
Tuesday
Monday
Monday
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Thursday
Tuesday
Saturday
Thursday
Wednesday
Tuesday
Saturday
Saturday
Friday
Friday
Sunday
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Sunday
405
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449
Rural
Urban
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Rural
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Urban
Urban
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Urban
Rural
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Rural
Urban
Rural
Urban
Urban
Urban
Urban
Rural
Urban
Urban
Rural
Urban
Urban
Rural
Urban
Tuesday
Thursday
Tuesday
Sunday
Friday
Wednesday
Sunday
Tuesday
Thursday
Monday
Sunday
Thursday
Monday
Saturday
Wednesday
Friday
Friday
Saturday
Friday
Wednesday
Wednesday
Tuesday
Sunday
Thursday
Friday
Monday
Friday
Monday
Sunday
Sunday
Monday
Wednesday
Friday
Tuesday
Sunday
Thursday
Friday
Wednesday
Friday
Thursday
Thursday
Wednesday
Monday
Monday
Friday
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
Urban
Urban
Rural
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Urban
Rural
Urban
Urban
Thursday
Friday
Saturday
Saturday
Wednesday
Monday
Sunday
Friday
Sunday
Thursday
Tuesday
Sunday
Sunday
Tuesday
Tuesday
Thursday
Monday
Thursday
Tuesday
Friday
Tuesday
Saturday
Color
Red
Orange
Red
Green
Green
Red
Red
Yellow
Yellow
Red
Red
Blue
Blue
Yellow
Orange
Red
Blue
Green
Green
Brown
Blue
Blue
Orange
Red
Orange
Orange
Red
Blue
Yellow
Red
Green
Orange
Blue
Brown
Green
Blue
Green
Yellow
Brown
Brown
Green
Blue
Blue
Blue
Red
Brown
Blue
Yellow
Yellow
Red
Red
Orange
Red
Blue
Green
Green
Orange
Brown
Orange
Blue
Orange
Brown
Green
Green
Orange
Green
Blue
Green
Brown
Yellow
Red
Red
Orange
Orange
Yellow
Green
Orange
Green
Yellow
Orange
Orange
Yellow
Red
Orange
Brown
Brown
Brown
Yellow
Brown
Orange
Blue
Brown
Red
Brown
Blue
Yellow
Red
Yellow
Blue
Green
Yellow
Orange
Yellow
Brown
Yellow
Green
Green
Blue
Orange
Blue
Brown
Green
Green
Blue
Orange
Green
Brown
Green
Yellow
Green
Green
Brown
Blue
Yellow
Blue
Brown
Green
Green
Yellow
Red
Orange
Brown
Green
Brown
Blue
Yellow
Blue
Red
Brown
Orange
Orange
Yellow
Yellow
Green
Yellow
Blue
Blue
Brown
Yellow
Yellow
Blue
Green
Blue
Orange
Blue
Blue
Yellow
Brown
Yellow
Orange
Green
Blue
Blue
Brown
Red
Brown
Green
Blue
Blue
Green
Green
Red
Blue
Green
Orange
Blue
Blue
Brown
Orange
Brown
Blue
Red
Green
Blue
Green
Yellow
Blue
Brown
Blue
Green
Yellow
Yellow
Brown
Yellow
Red
Orange
Green
Green
Blue
Blue
Green
Brown
Orange
Orange
Brown
Brown
Orange
Yellow
Orange
Orange
Orange
Orange
Brown
Orange
Orange
Brown
Red
Blue
Red
Orange
Brown
Red
Red
Brown
Blue
Blue
Green
Green
Green
Green
Yellow
Brown
Red
Red
Green
Orange
Green
Orange
Blue
Brown
Yellow
Green
Blue
Orange
Yellow
Yellow
Orange
Yellow
Green
Blue
Orange
Blue
Blue
Green
Green
Blue
Brown
Yellow
Blue
Blue
Yellow
Yellow
Red
Orange
Red
Orange
Blue
Brown
Brown
Blue
Green
Yellow
Orange
Orange
Blue
Green
Brown
Brown
Red
Red
Blue
Yellow
Yellow
Brown
Green
Blue
Blue
Brown
Green
Blue
Red
Brown
Green
Green
Orange
Green
Blue
Brown
Yellow
Orange
Blue
Yellow
Blue
Orange
Red
Red
Blue
Orange
Green
Yellow
Green
Yellow
Brown
Orange
Orange
Brown
Blue
Green
Blue
Red
Red
Blue
Blue
Orange
Orange
Red
Blue
Brown
Red
Brown
Green
Yellow
Yellow
Red
Orange
Red
Blue
Blue
Green
Red
Blue
Yellow
Blue
Brown
Yellow
Orange
Yellow
Blue
Red
Blue
Red
Yellow
Brown
Brown
Orange
Red
Yellow
Green
Green
Red
Blue
Green
Blue
Yellow
Yellow
Blue
Orange
Yellow
Red
Red
Blue
Red
Blue
Blue
Green
Yellow
Orange
Orange
Brown
Red
Green
Brown
Blue
Yellow
Green
Brown
Brown
Yellow
Red
Red
Orange
Green
Yellow
Yellow
Red
Blue
Brown
Yellow
Green
Red
Yellow
Red
Blue
Red
Green
Orange
Brown
Blue
Blue
Green
Red
Yellow
Orange
Blue
Yellow
Orange
Orange
Yellow
Red
Blue
Orange
Red
Red
Blue
Blue
Orange
Orange
Brown
Brown
Yellow
Red
Green
Orange
Brown
Red
Orange
Green
Yellow
Yellow
Green
Blue
Red
Yellow
Blue
Orange
Blue
Yellow
Green
Yellow
Green
Brown
Yellow
Red
Green
Yellow
Blue
Blue
Orange
Brown
Brown
Green
Orange
Orange
Green
Green
Brown
Blue
Green
Blue
Yellow
Red
Brown
Orange
Red
Green
Orange
Green
Blue
Orange
Blue
Red
Green
Blue
Brown
Orange
Orange
Orange
Orange
Blue
Yellow
Green
Green
Blue
Green
Yellow
Brown
Orange
Blue
Yellow
Brown
Week
1
2
3
4
5
6
7
8
9
10
11
12
Sales
2750
3100
3250
2800
2900
3050
3300
3100
2950
3000
3200
3150
Northeast
28.6
39.9
31.9
46.3
32.5
14.9
36.8
36.3
37.7
58.4
60.6
Midwest
36.7
33.4
22.8
43.8
32.1
58.3
31.1
64.0
27.6
55.5
78.8
42.2
74.7
36.5
28.7
60.4
58.2
21.0
28.8
25.5
73.9
36.8
28.4
27.2
31.8
56.8
28.3
33.3
39.4
39.2
South
59.9
37.2
28.0
41.1
33.9
18.8
30.3
67.4
32.6
30.0
39.1
29.7
29.8
23.7
34.0
24.5
54.2
31.0
41.9
70.2
22.7
30.7
30.8
21.6
31.5
38.2
40.2
35.4
21.6
35.5
26.1
32.7
West
16.4
33.5
22.3
12.4
43.7
26.8
57.3
14.3
37.0
28.1
17.5
32.3
52.4
51.5
25.4
29.6
27.6
31.5
22.8
34.6
33.0
37.0
33.8
28.7
21.8
STATISTICS FOR BUSINESS – MNS 601
Special Project (Example #1)
Name:
Student A
Date: ____________
Part A: Description of Business Context
Write a brief summary of the business context (e.g., manufacturing, marketing,
finance, etc.) including the name of the company or organization.
The economic crisis affected many industries, particularly the automobile
manufacturing industry. As gas prices soared and jobs were lost, consumers
demanded more fuel-efficient vehicles. The companies that suffered the most
were the ones that continued to produce gas-guzzling vehicles such as trucks
and SUVs, among these manufacturers was Ford Motor Company (Ford). Ford
lost sales quickly during this period and needed a solution soon or risk complete
failure like some of its unlucky competitors.
Part B: Problem/Issue
State the business problem/issue to be addressed using statistics and why this
problem/issue is important to the company/organization.
An example of Ford’s response to the fuel-efficient vehicle market was the new
Focus SE, a model that claims to get 40 MPG. It is important for car
manufacturers, such as Ford, to accurately assess MPG in order to maintain the
integrity of the company’s product as well as to continue attracting future
customers. Therefore, the use of statistics will either validate or invalidate Ford’s
claim that the new Focus SE gets 40 MPG.
Part C: Statistical Procedure
Explain the statistical procedure (NOTE: Focus on ONE statistical procedure only)
1. Independent variable:
a) What is the variable: Type of Car
b) How it is measured (e.g., revenue measured in “dollars”; height
measured as “short, average, tall”) Car make and model
c) Level of measurement (nominal, ordinal, interval, or ratio): Nominal
2. Dependent variable:
a) What is the variable: Mileage (MPG)
b) How it is measured (e.g., revenue measured in “dollars”; height
measured as “short, average, tall”) Miles per gallon (MPG)
MNS 601 Special Project
1
3.
4.
5.
6.
c) Level of measurement (nominal, ordinal, interval, or ratio): Ratio
Name of the procedure/formula (e.g., ANOVA, Chi-Square, Hypothesis
Test using z formula, Regression Analysis, etc.). NOTE: The procedure/
formula must be one that was covered in the course: Hypothesis test (One
sample t test)
Describe the statistical rationale/justification for choosing this
procedure/formula: Need to test the hypothesis that the population mean
for the Ford Focus SE is 40 MPG. A t-test is appropriate here because the
following assumptions for a t-test are met in this problem, specifically the
standard deviation of the population is unknown and the dependent
variable is at the interval or ratio level of measurement.
Describe how the data are collected by the business/organization: Ford
test-drove a random sample of Ford Focus SE cars and calculated the MPG
for each vehicle.
Describe how the data are analyzed (i.e., how the statistical procedure is
performed): The null and alternative hypotheses are defined (H0: u = 40
MPG, H1: u ≠ 40 MPG); an alpha level is set; the mean MPG for the sample
of cars is calculated; the calculated t value is determined using the formula
t = (sample mean – population mean) ÷ (s / √ n); the calculated t value is
compared to the critical t values (found in the t-table); if t calculated < t critical H0 is accepted and if t calculated > t critical H0 is rejected.
Part D: Decision/Interpretation
Explain the type of business decision that the company/organization would make
as a result of this statistical analysis. If H0 is accepted, Ford can confidently
market the Ford Focus SE as having a mileage rating of 40 MPG. If H0 is rejected,
Ford would not be able to advertise the Ford Focus SE as having a mileage rating
of 40 MPG and may decide to perform additional quality tests on the model to
identify any deficiencies.
MNS 601 Special Project
2

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