The mean and the standard deviation of the sample

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Reference no: EM131092149

THE TRASH BAG CASE DS TrashBag

The mean and the standard deviation of the sample of 40 trash bag breaking strengths are

= 50.575 and = 1.6438.

What does the histogram in Figure 2.17 (page 53) say about whether the Empirical Rule should be used to describe the trash bag breaking strengths?

Rank

Team

Value ($mil)

Revenue ($mil)

1

Hendrick Motorsports

350

177

2

Roush Fenway

224

140

3

Richard Childress

158

90

4

Joe Gibbs Racing

152

93

5

Penske Racing

100

78

6

Stewart-Haas Racing

95

68

7

Michael Waltrip Racing

90

58

8

Earnhardt Ganassi Racing

76

59

9

Richard Petty Motorsports

60

80

10

Red Bull Racing

58

48

b Use the Empirical Rule to calculate estimates of tolerance intervals containing 68.26 percent,

95.44 percent, and 99.73 percent of all possible trash bag breaking strengths.

Does the estimate of a tolerance interval containing 99.73 percent of all breaking strengths provide evidence that almost any bag a customer might purchase will have a breaking strength that exceeds 45 pounds? Explain your answer.

How do the percentages of the 40 breaking strengths in Table 1.9 (page 14) that actually fall into the intervals [x ±s], [x ± 2s], and [x ± 3s] compare to those given by the Empirical Rule? Do these comparisons indicate that the statistical inferences you made in parts and are reasonably valid?

Reference no: EM131092149

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