Industrial engineers periodically conduct “work measurement” analyses 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 in the next table.
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 intervals ȳ ± s, ȳ ± 2s and ȳ ± 3s. 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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