2)- Industrial engineers periodically conduct "work measurement' analysis to determine the time required to produce a single unit of output. At a large processing plant, the number of total worker-hours required per day to perform a certain task was recorded for 50 days. The data are shown here: 128 119 95 97 124 128 142 98 108 120 113 109 124 132 97 138 133 136 120 112 146 128 103 135 114 109 100 111 131 113 124 131 133 131 88 118 116 98 112 138 100 112 111 150 117 122 97 116 92 122 a) Compute the mean, median, and mode of the data set. b) Find the range, variance, and standard deviation of the data set. c) Construct the interval yt0, y ± 2o, and y ± 30. Count the number of observations that fall within each interval and find the corresponding proportions. Compare the results to the Empirical Rule. Do you detect any outliers? d) Construct a box plot for the data. Do you detect any outliers? e) Find the 70th percentile for the data on total daily worker-hours. Interpret its value.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
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2) Check the answer : Mode of the data set is 97,112,124,128, and 131. Number of observations 38,48, and 50
2)- Industrial engineers periodically conduct "work measurement' analysis to determine the time required to produce a
single unit of output. At a large processing plant, the number of total worker-hours required per day to perform a certain
task was recorded for 50 days. The data are shown here:
128
119
95
97
124
128
142
98
108
|120
113
109
124
132
97
138
133
136
120
|112
146
128
103
135
114
109
100
111
131
113
124
131
133
131
88
118
116
98
112
138
100
112
111
150
117
|122
97
116
92
122
a) Compute the mean, median, and mode of the data set.
b) Find the range, variance, and standard deviation of the data set.
c) Construct the interval y ±o, y± 2o, and y ± 3o. Count the number of observations that fall within each
interval and find the corresponding proportions. Compare the results to the Empirical Rule. Do you detect any outliers?
d) Construct a box plot for the data. Do you detect any outliers?
e) Find the 70th percentile for the data on total daily worker-hours. Interpret its value.
Transcribed Image Text:2)- Industrial engineers periodically conduct "work measurement' analysis to determine the time required to produce a single unit of output. At a large processing plant, the number of total worker-hours required per day to perform a certain task was recorded for 50 days. The data are shown here: 128 119 95 97 124 128 142 98 108 |120 113 109 124 132 97 138 133 136 120 |112 146 128 103 135 114 109 100 111 131 113 124 131 133 131 88 118 116 98 112 138 100 112 111 150 117 |122 97 116 92 122 a) Compute the mean, median, and mode of the data set. b) Find the range, variance, and standard deviation of the data set. c) Construct the interval y ±o, y± 2o, and y ± 3o. Count the number of observations that fall within each interval and find the corresponding proportions. Compare the results to the Empirical Rule. Do you detect any outliers? d) Construct a box plot for the data. Do you detect any outliers? e) Find the 70th percentile for the data on total daily worker-hours. Interpret its value.
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