Sheet1
Data set for Question 1: Furniture order ($)
136
211
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277
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162
242
348
154
226
212
368
173
166
123
241
258
409
214
178
182
323
264
311
445
290
196
237
141
231
434
183
490
159
389
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209
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362
196
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472
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338
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Sheet2
Sheet3
HI6007 T12018 Group Assignment Page 1
HOLMES INSTITUTE
FACULTY OF HIGHER EDUCATION
HI6007 Group Assignment
Due end of week 11
WORTH 30%
(Maximum 5 students in the group)
MS Excel must be used for performing calculation/graphical presentation as required
in this assignment
Question XXXXXXXXXXmarks
Missy Walters owns a mail-order business specializing in clothing, linens, and furniture for
children. She is considering offering her customers a discount on shipping charges for
furniture based on the dollar-amount of the furniture order. Before Missy decides the
discount policy, she needs a better understanding of the dollar-amount distribution of the
furniture orders she receives.
Missy had an assistant randomly select 50 recent orders that included furniture. The
assistant recorded the value, to the nearest dollar, of the furniture portion of each order. The
data collected is listed below (data set also provided in accompanying MS Excel file).
XXXXXXXXXX XXXXXXXXXX
XXXXXXXXXX XXXXXXXXXX
XXXXXXXXXX XXXXXXXXXX
XXXXXXXXXX XXXXXXXXXX
XXXXXXXXXX XXXXXXXXXX
a. Prepare a frequency distribution, relative frequency distribution, and percent
frequency distribution for the data set using a class width of $5 XXXXXXXXXX3 marks)
. Construct a histogram showing the percent frequency distribution of the furniture-
order values in the sample. Comment on the shape of the distribution XXXXXXXXXXmarks)
c. Given the shape of the distribution in part b, what measure of location would be most
appropriate for this data set? XXXXXXXXXXmarks)
HI6007 T12018 Group Assignment Page 2
Question 2 XXXXXXXXXX6 marks
Shown below is a portion of a computer output for a regression analysis relating Y (demand)
and X (unit price).
ANOVA
df SS
Regression XXXXXXXXXX
Residual XXXXXXXXXX
Total XXXXXXXXXX
Coefficients Standard E
or
Intercept XXXXXXXXXX
X XXXXXXXXXX
a. Determine whether or not demand and unit price are related. Use α = 0.05.
XXXXXXXXXX2 marks)
. Compute the coefficient of determination and fully interpret its meaning.
Be very specific. XXXXXXXXXX2 marks)
c. Compute the coefficient of co
elation and explain the relationship between
demand and unit price. XXXXXXXXXX2 marks)
Question 3 XXXXXXXXXX6 marks
The following are the results from a completely randomized design consisting of 3
treatments.
Source of Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Between Treatments 390.58
Within Treatments (E
or XXXXXXXXXX
Total XXXXXXXXXX
Using α = .05, test to see if there is a significant difference among the means of the three
populations. The sample sizes for the three treatments are equal.
HI6007 T12018 Group Assignment Page 3
Question XXXXXXXXXXmarks
In order to determine whether or not the number of mobile phones sold per day (y) is related
to price (x1 in $1,000), and the number of advertising spots (x2), data were gathered for 7
days. Part of the Excel output is shown below.
ANOVA
df SS MS F
Regression XXXXXXXXXX
Residual XXXXXXXXXX
Coefficients Standard E
or
Intercept 0.8051
x XXXXXXXXXX
x XXXXXXXXXX
a.
a. Develop an estimated regression equation relating y to x1 and x2 XXXXXXXXXX2 marks)
b. At α = 0.05, test to determine if the estimated equation developed in Part a represents
a significant relationship between all the independent variables and the dependent variable.