Is there more variation in the output of one shift in a manufacturing plant than

Question

Is there more variation in the output of one shift in a manufacturing plant than in another shift? In an effort to study this question, plant managers gathered productivity reports from the 8 A.M. to 4 P.M. shift for eight days. The reports indicated that the following numbers of units were produced on each day for this shift. 5, 534 4.801 5, 112 5, 380 4, 918 4, 783 5,073 5, 106 Productivity information was also gathered from seven days for the 4 P.M. to midnight shift, resulting in the following data. 4, 325 4.112 4, 872 4, 619 4,010 4, 754 4, 116 Use these data and alpha = 0.01 to test to determine whether the variances of productivity for the two shifts are the same. Assume productivity is normally distributed in the population. Round the values of mean to 4 decimal places. Round the values of s_1^2 and s_2^2 to the nearest integer. Round your answer to 2 decimal places. Observed F = The decision is to There is in the variances of the shifts.

Explanation / Answer

from above

hence observed F =s12/s22 =0.60

dicision is fail to reject the null hypothesis

there is no difference in the

A B 5534 4325 4801 4112 5112 4872 5380 4619 4918 4010 4763 4754 5073 4116 5106 Varaince 71737.6 119562.8

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