1.A training program designed to upgrade the supervisory skills of production-line supervisors has been offered for the past five years at a Fortune 500 company.Because the program is self-administered, supervisors require different numbers of hours to complete the program.A study of past participants indicates that the mean length of time spent on the program is 500 hours and that this normally distributed random variable has a standard deviation of 100 hours.Suppose the training-program director wants to know the probability that a participant chosen at random would require between 550 and 650 hours to complete the required work.Determine that probability showing your work.

2.A manufacturing company produces electric insulators.If the insulators break when in use, a short circuit is likely to occur.To test the strength of the insulators, destructive testing in high-powered labs is carried out to determine how much force is required to break the insulators.Force is measured by observing how many pounds must be applied to the insulator before it breaks.Force measurements are collected from a sample of 30 insulators and shown here.

1,8701,7281,6561,6101,6341,7841,5221,696

1,5921,6621,8661,7641,7341,6621,7341,774

1,5501,7561,7621,8661,8201,7441,7881,688

1,8101,7521,6801,8101,6521,736

a.Construct a cumulative percentage histogram.

b.Calculate the mean of this set of data.

c.Calculate the median.

d.Calculate the standard deviation and variance.

3.The following data is of the number of rejects and the number of items inspected for a particular operation:

Rejects54655566277

# Insp.851037082899866951697048

Construct a p chart for this set of data.

4.Find the five-number summary of the following set of data:

1.48 1.491.501.511.511.561.62

1.101.291.381.391.401.451.46

5.Construct a Box-and-Whisker plot for the data in #4 labeling each major component of the figure.

6.A Management Consulting firm has engaged you to help a company become more efficient.As a first step they survey management about the time spent answering email. The survey of 25 managers yielded the following data regarding the minutes per day spent in reading or writing email.Make a stem-and-leaf display, find the median and comment on the characteristics of the distribution.

31

41

23

79

89

80

45

58

58

78

10

124

46

16

49

50

64

46

5

72

70

48

65

86

12

7.The accompanying observations are the number of defects detected in 20 samples of 5000 for two production lines.Generate a c chart for each of these and determine which production line performed better.

Line #1

Line #2

140

170

140

136

150

125

70

88

70

88

78

104

95

110

100

125

114

136

88

121

101

89

127

149

140

103

118

147

124

160

172

92

152

182

164

179

198

233

221

220

Note: You can copy these columns of numbers and paste directly into an empty MINITAB Worksheet or Excel spreadsheet if that is what you wish to do.No need to retype the data.