Case Study:
Statistics
Performance Lawn Equipment
Question 1:What proportion of customers rate the company with "top box" survey responses (which is defined as scale levels 4 and 5) on quality, ease of use, price, and service in the 2012 Customer Survey worksheet? How do these proportions differ by geographic region?
Question 2: What would be a confidence interval for an additional sample of mower test performance an in the worksheet Mower Test?
Question 3: For the data in the worksheet Blade Weight, what is the sampling distribution of the mean, the overall mean, and the standard error of the mean? Is a normal distribution an appropriate assumption for the sampling distribution of the mean?
Question 4: How many blade weights must be measured to find a 95% confidence interval for the mean blade weight with a sampling error of at most 0.2? What if the sampling error is specified as 0.1?
Dealer Satisfaction |
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Survey Scale: |
0 |
1 |
2 |
3 |
4 |
5 |
Sample |
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North America |
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Size |
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2010 |
1 |
0 |
2 |
14 |
22 |
11 |
50 |
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2011 |
0 |
0 |
2 |
14 |
20 |
14 |
50 |
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2012 |
1 |
1 |
1 |
8 |
34 |
15 |
60 |
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2013 |
1 |
2 |
6 |
12 |
34 |
45 |
100 |
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2014 |
2 |
3 |
5 |
15 |
44 |
56 |
125 |
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South America |
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2010 |
0 |
0 |
0 |
2 |
6 |
2 |
10 |
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2011 |
0 |
0 |
0 |
2 |
6 |
2 |
10 |
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2012 |
0 |
0 |
1 |
4 |
11 |
14 |
30 |
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2013 |
0 |
1 |
1 |
3 |
12 |
33 |
50 |
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2014 |
1 |
1 |
2 |
4 |
22 |
60 |
90 |
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Europe |
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2010 |
0 |
0 |
1 |
3 |
7 |
4 |
15 |
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2011 |
0 |
0 |
1 |
2 |
8 |
4 |
15 |
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2012 |
0 |
0 |
1 |
2 |
15 |
7 |
25 |
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2013 |
0 |
0 |
1 |
2 |
21 |
6 |
30 |
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2014 |
0 |
0 |
1 |
4 |
17 |
8 |
30 |
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Pacific Rim |
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2010 |
0 |
0 |
1 |
2 |
2 |
0 |
5 |
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2011 |
0 |
0 |
1 |
1 |
3 |
0 |
5 |
|
2012 |
0 |
0 |
1 |
1 |
3 |
1 |
6 |
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2013 |
0 |
0 |
0 |
2 |
5 |
3 |
10 |
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2014 |
0 |
0 |
1 |
2 |
7 |
2 |
12 |
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China |
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2012 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
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2013 |
0 |
0 |
1 |
4 |
2 |
0 |
7 |
|
2014 |
0 |
0 |
1 |
5 |
8 |
2 |
16 |
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