In 1895, Ignaz Schwinn and his partner, Adolph Arnold, incorporated the Arnold, Schwinn & Company in Chicago to produce bicycles. In the early years with
Discussion
1. What is the age of the target market for Schwinn bikes? One theory is that in locales where mountain bikes are more popular, the mean age of their customers is older than in locales where relatively little mountain biking is done. In an attempt to test this theory, a random sample of Colorado Springs customers is taken along with a random sample of customers in St. Louis. The ages for these customers are given here. The customer is defined as "the person for whom the bike is primarily purchased." The shape of the population distribution of bicycle customer ages is unknown. Analyze the data and discuss the implications for Schwinn manufacturing and sales.
Colorado Springs St. Louis
29 .............. 11
38 .............. 14
31 .............. 15
17 .............. 12
36 .............. 14
28 .............. 25
44 .............. 14
9 .............. 11
32 .............. 8
23
35
2. Suppose for a particular model of bike, the specified weight of a handle bar is 200 grams and Schwinn uses three different suppliers of handle bars. Suppose Schwinn conducts a quality-control study in which handle bars are randomly selected from each supplier and weighed. The results (in grams) are shown next. It is uncertain whether handle bar weight is normally distributed in the population.
Analyze the data and discuss what the business implications are to Schwinn.
3. Quality technicians at Schwinn's manufacturing plant examine their finished products for paint flaws. Paint inspections are done on a production run of 75 bicycles. The inspection data are coded and the data analyzed using Minitab. If a bicycle's paint job contained no flaws, a 0 is recorded; and if it contained at least one flaw, the code used is a 1. Inspectors want to determine whether the flawed bikes occur in a random fashion or in a nonrandom pattern. Study the Minitab output. Determine whether the flaws occur randomly. Report on the proportion of flawed bikes and discuss the implications of these results to Schwinn's production management.
Runs Test: Paint Flaw
Runs above and below K = 0.2533
The observed number of runs = 29
The expected number of runs = 29.3733
19 observations above K, 56 below P-value =0.908
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Supplier 1 200.76 202.63 198.03 201.24 202.88 194.62 203.58 205.41 Supplier 2 197.38 207.24 201.56 194.53 197.21 198.94 Supplier 3 192.63 199.68 203.07 195.18 189.11
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1 Since two independent samples are being compared and the shape of the opulation distribution is unknown the MannWhitney U test is used to analyze the data rather than the t test for two independent ... View full answer

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