Q1)Hamilton Beach has developed a new countertop blender line. At this stage, th
ID: 3200038 • Letter: Q
Question
Q1)Hamilton Beach has developed a new countertop blender line. At this stage, the development team is debating whether they should pursue a simple 1-Speed blender model or stick with their standard 4-speed approach. Jennifer, the Group Innovation Manager, is not certain which of the two versions will be the better choice. She commissions a marketing research study to help her with the decision. In this study, 10 test markets were chosen for the 1-Speed model and 10 markets for the 4-speed model. The scanner data result is also shown. Additional Computer output: provide the anova table.
1. Provide the hypothesis tested, the p-value, the decision rule, whether you accept or reject the chosen Ho at a confidence level of 95%.
2. What is the mean sales for each model? Verbally interpret these means.
3. Are the differences between the models statistically significant?
4. What is your recommendation to Jennifer?
The columns show:
1. Market Id#
2. Which version of the blender was offered in the market
3. Result from tracking the sales over the 4 week period following the participation in this study (in number of units sold)
Market
Speed
Sold units
1
1
20
2
1
71
3
1
86
4
1
257
5
1
48
6
1
86
7
1
86
8
1
343
9
1
36
10
1
86
11
4
120
12
4
343
13
4
600
14
4
48
15
4
600
16
4
171
17
4
429
18
4
171
19
4
343
20
4
514
Q2) Samsung is designing a new smartphone. They have narrowed their choices to two sizes (5 and 7 inches) and two colors (red and blue) and want to decide between the four options. At this stage of the development, Samsung is using the response of a sample of 20 people on how much they each liked the one design shown to them to decide. Use the data below to run a factorial Anova.
For the size, the color, and their interaction: Provide the hypothesis tested, the p-value, the decision rule, whether you accept or reject the chosen Ho at a confidence level of 95%. Provide also a verbal interpretation of the overall outcome. Finally, as a manager with Samsung, which phone design should you continue to develop and why? Additional Computer output: provide the anova table and the profile plot.
Respondent
Size
Color
Like
1
5
blue
9
2
5
red
7
3
5
blue
10
4
5
red
6
5
5
red
7
6
5
blue
10
7
5
blue
9
8
5
red
3
9
5
blue
9
10
5
red
10
11
7
blue
6
12
7
red
4
13
7
blue
1
14
7
red
6
15
7
blue
4
16
7
red
7
17
7
blue
9
18
7
red
4
19
7
red
7
20
7
blue
4
Q3)Use the data in the file “Week 1 S Curves.xls” to apply a S-Curve prediction for the following product: Video Cassette Recorder. Answer the questions below. Additional Computer output: provide the excel file used for this analysis
a) What is the forecast for new customer sales in year 1991?
b) When is/was/will be the inflection point for the VCR?
Market
Speed
Sold units
1
1
20
2
1
71
3
1
86
4
1
257
5
1
48
6
1
86
7
1
86
8
1
343
9
1
36
10
1
86
11
4
120
12
4
343
13
4
600
14
4
48
15
4
600
16
4
171
17
4
429
18
4
171
19
4
343
20
4
514
Estimating an S Curye l. Input annual unit sales 2, Educated Guess for a maximum value and input 3. Regress Transformed cum sales (y) on Time (x)-- sec below. 4. From coefficient estimates, determine S-Curve Intercept and Growth Rate (cells K10-K 5. Forecast the next year a (S-Curve intercept) b (S-Curve Growth Rate 58 58 7.229 89 87 4S 6.3 4S 89 234 5.832 34 43 5.448 379 58 5.067 613 389 890 4,487 988 665 55 3.92 590 3,319 2,795 2,54 490 5,285 2.649 4,045 6,356 4,208 9,493 005 4,666 4,159 537 9,818 670 9,829 4,786 25,292 0,772 21,498 30,474 0.486 29,86 371275 39293 6,80 0.136 7,637 44,9 -0.247 48,804 53,526 -0.704 57,373 7,232 60,758 64,34 6,470 67,228 66 69,557 UMMARY OUTPUT Regression 32.9130456 32.9130456 976.629203 4.94122 E-19 4.0561643 7.278667849 ercep (0.010861349 4.45929827 494122E-19 -0.505803435 -0.459s7 -0.5058 -04599 X Variable -0.48288 Yea hich is in Cumulative Unit Sales 10 icted 5.07320218Explanation / Answer
Q1)
1.) We should use two sample t-test for this
H0: µ1 µ4
Ha: µ1 < µ4
Decision rule: Accept null hypothesis if p > 0.05, reject otherwise.
µ1 = 111.9; µ4 = 333.9
s1 = 103.87; s4 = 201.06
n1 = n4 = 10
SE = sqrt[ (s12/n1) + (s42/n4) ]
= 71.56
DF = (s12/n1 + s42/n4)2 / { [ (s12 / n1)2 / (n1 - 1) ] + [ (s42 / n4)2 / (n4 - 1) ] }
~ 12
t = [ (µ1 - µ4) ] / SE = -3.10
p-value = 0.0046
p < 0.05, Hence, we have to reject the null hypothesis.
2.) µ1 = 111.9; µ4 = 333.9
On an average in the markets where the research is carried out (the sample), 4-speed model is preferred more.
3.) Yes, as we have seen in the first part and hence we rejected the null hypothesis.
4.) Jennifer, the Group Innovation Manager, shoul stick with their standard 4-speed approach.
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