Group Assignment
FACULTY
OF HIGHER EDUCATION
HI6007
Group Assignment
MS Excel must be used for performing calculation/graphical
presentation as required in this assignment
Question 1 8 marks
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).
|
136
|
281
|
226
|
123
|
178
|
445
|
231
|
389
|
196
|
175
|
|
211
|
162
|
212
|
241
|
182
|
290
|
434
|
167
|
246
|
338
|
|
194
|
242
|
368
|
258
|
323
|
196
|
183
|
209
|
198
|
212
|
|
277
|
348
|
173
|
409
|
264
|
237
|
490
|
222
|
472
|
248
|
|
231
|
154
|
166
|
214
|
311
|
141
|
159
|
362
|
189
|
260
|
a. Prepare
a frequency distribution, relative frequency distribution, and percent
frequency distribution for the data set using a
class width of $50. (3 marks)
b. Construct
a histogram showing the percent frequency distribution of the furniture order values in the
sample. Comment on the shape of the distribution.(3
marks)
c. Given the
shape of the distribution in part b, what measure of location would be most appropriate for this
data set? (2
marks)
Question 2 6 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
|
1
|
5048.818
|
|
Residual
|
46
|
3132.661
|
|
Total
|
47
|
8181.479
|
|
|
Coefficients
|
Standard
Error
|
|
Intercept
|
80.390
|
3.102
|
|
X
|
-2.137
|
0.248
|
a. Determine
whether or not demand and unit price are related. Use α = 0.05.
(2 marks)
b. Compute
the coefficient of determination and fully interpret its meaning.
Be very
specific. (2
marks)
c. Compute
the coefficient of correlation and explain the relationship between
demand and unit price. (2 marks)
Question 3 6 marks
The following are the results from a completely
randomized design consisting of 3 treatments.
|
|
Sum of
|
Degrees
of
|
Mean
|
|
|
Source of Variation
|
Squares
|
Freedom
|
Square
|
F
|
|
Between Treatments
|
390.58
|
|
|
|
|
Within Treatments (Error)
|
158.40
|
|
|
|
|
Total
|
548.98
|
23
|
|
|
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.
Question 4 10 marks
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
|
|
40.700
|
|
|
|
|
|
Residual
|
|
1.016
|
|
|
|
|
|
|
Coefficients
|
Standard
Error
|
|
|
|
|
|
Intercept
|
0.8051
|
|
|
|
|
|
|
x1
|
0.4977
|
0.4617
|
|
|
|
|
|
x2
|
0.4733
|
0.0387
|
|
|
|
|
|
a.
Develop an estimated regression equation relating y to x1
and x2.
|
(2 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.
(2 marks)
c. At α =
0.05, test to see if β1 and β2 is significantly different from zero. (2 marks)
d. Interpret slope coefficient for X2. (2
marks)
e. If the company charges $20,000 for each phone
and uses 10 advertising spots, how
many mobile phones would you expect them to sell
in a day? (2 marks)
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