In any production process in which one or more workers are engaged in a variety of tasks, the total time spent in production varies as a function of the size of the workpool and the level of output of the various activities. In a large metropolitan department store, it is believed that the number of man-hours worked (
y) per day by the clerical staff depends on the number of pieces of mail processed per day (
x1) and the number of checks cashed per day (
x2). Data collected for
n = 20 working days were used to fit the model:
A partial printout for the analysis follows:
Interpret the 95% prediction interval for
y shown on the printout.
◦ We are 95% confident that the mean number of man-hours worked per day falls between 47.224 and 119.126 for all days in which 7,781 pieces of mail are processed and 644 checks are cashed.
◦ We are 95% confident that the number of man-hours worked per day falls between 47.224 and 119.126.
◦ We are 95% confident that between 47.224 and 119.126 man-hours will be worked during a single day in which 7,781 pieces of mail are processed and 644 checks are cashed.
◦ We expect to predict number of man-hours worked per day to within an amount between 47.224 and 119.126 of the true value.
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Three mechanics worked 15 1/2, 14 3/4, 18 1/8 hours respectively. What was the total