A company that produces and markets trash bags has developed an improved 30-gallon bag. The new bag is produced using a specially formulated plastic that is both stronger and more biodegradable than previously used plastics, and the company wishes to evaluate the strength of this bag.

The breaking strength of a trash bag is considered to be the amount (in pounds) of a representative trash mix that when loaded into a bag suspended in the air will cause the bag to sustain significant damage (such as ripping or tearing). The company has decided to select a sample of 40 of the new trash bags. For each of 40 consecutive hours, the first trash bag produced at or after a randomly selected time during the hour is chosen. The bag is then subjected to a breaking strength test. The 40 breaking strengths obtained are given in Table 1.10. Using the largest and smallest observations in the data, estimate limits between which the breaking strengths of most trash bags would fall. Assume that the trash bag manufacturing process is operating consistently over time.  

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TABLE 1.10 Trash Bag Breaking Strengths OS TrashBag 48.5 52.5 50.7 49.4 52.3 47.5 48.2 51.9 50.9 53.5 51.5 52.0 50.5 49.8 49.0 48.8 50.3 50.0 51.7 46.8 50.8 49.6 53.2 51.3 51.0 53.0 51.1 49.3 48.3 50.9 52.6 54.0 50.6 49.9 51.2 49.2 50.2 50.1 49.5 51.4 Time Series Plot of Strength 54 53 52 51 50 49 48 47 46 6 11 16 21 26" 31 36 Time Strength