Q1. Industrial engineers periodically conduct "work measurement" analyses to determine the time used to produce a single unit of output. At a large processing plant, the total number of man-hours required per day to perform a certain task was recorded for 50 days. his information will be used in a work measurement analysis. The total man-hours required for each of the 50 days are listed below. 128 119 95 97 124 128 142 98 108 120 112 111 150 117 122 124 118 109 124 97 138 133 136 120 112 146 97 116 92 122 125 131 120 103 135 114 109 100 111 131 113 132 116 98 112 138 100 388 100 89 23. For the data man-hour data set given in Q1, a) Construct a 94% confidence interval for the mean man-hour (assume normality of the above man-hour data). b) At 1% level of significance test the hypothesis that Man-hour is more than 90 hours by critical value approach. c) Give an expression for p-value. On the basis of the t-table given in the Text, comment on the p-value.

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Q1. Industrial engineers periodically conduct "work measurement" analyses to
determine the time used to produce a single unit of output. At a large processing
plant, the total number of man-hours required per day to perform a certain task
was recorded for 50 days. his information will be used in a work measurement
analysis. The total man-hours required for each of the 50 days are listed below.
128 119 95
97
124 128
142 98
108 120 112 111
150 117 122
124 118 109
124 97
138 133 136 120
112 146 97
116 92
122
125 131 120 103 135 114
109 100 111 131 113 132 116 98
112 138 100 388
100 89
Q3. For the data man-hour data set given in Q1,
a) Construct a 94% confidence interval for the mean man-hour (assume
normality of the above man-hour data).
b) At 1% level of significance test the hypothesis that Man-hour is more
than 90 hours by critical value approach.
c) Give an expression for p-value. On the basis of the t-table given in the
Text, comment on the p-value.
d) Compute the exact p-value by using Excel or any other statistical
software.
Transcribed Image Text:Q1. Industrial engineers periodically conduct "work measurement" analyses to determine the time used to produce a single unit of output. At a large processing plant, the total number of man-hours required per day to perform a certain task was recorded for 50 days. his information will be used in a work measurement analysis. The total man-hours required for each of the 50 days are listed below. 128 119 95 97 124 128 142 98 108 120 112 111 150 117 122 124 118 109 124 97 138 133 136 120 112 146 97 116 92 122 125 131 120 103 135 114 109 100 111 131 113 132 116 98 112 138 100 388 100 89 Q3. For the data man-hour data set given in Q1, a) Construct a 94% confidence interval for the mean man-hour (assume normality of the above man-hour data). b) At 1% level of significance test the hypothesis that Man-hour is more than 90 hours by critical value approach. c) Give an expression for p-value. On the basis of the t-table given in the Text, comment on the p-value. d) Compute the exact p-value by using Excel or any other statistical software.
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