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A potato chip manufacturer was having problems with the Weights and Measures inspectors after the inspectors found some bags containing less than the required 42.5

A potato chip manufacturer was having problems with the Weights and Measures inspectors after the inspectors found some bags containing less than the required 42.5 grams (formerly 1.5 ounces) of chips. In response, the manufacturer had increased the weight setting on the bagging machines to 50 grams, but were now over-packing the bags and, consequently, giving away chips. A random sample of bags were taken off the line and the chips in the bags were carefully weighed, as shown in the attached table.

Chip Weights

44.32

48.42

47.86

47.67

49.26

55.06

47.87

45.8

49.22

51.09

49.97

43.39

51.95

47.86

44.85

53.83

48.24

43.64

48.79

54.42

54.66

57.57

48.94

55.33

48.05

52.67

48.55

51.98

48.86

Sample Mean: 49.66

Suppose the population weight is indeed 42.5 grams, then according to the Three Rules of Thumb, the probability to observe the sample mean as calculated above is less than_________

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