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 tƠ, ỹ ± 2o, and y + 30. Count the number of observations that fall within each interval and find the corresponding proportions. Compare the results 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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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d) and e). Please solve them step by step.
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 ỹ+ 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 ỹ+ 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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