Freight car loadings over an 18-week period at a busy port are as follows: Quest

Question

Freight car loadings over an 18-week period at a busy port are as follows:

Question:

The manager intends to install new equipment when the volume exceeds 830 loadings per week. Assuming the current trend continues, in which week (at the earliest) should the loading volume reach that level? Use the rounded answers, as required, from any previous part of this problem. Do not round any other intermediate calculations. Round your final answer to 2 decimal places.

Week Number Week Number Week Number 1 250 7 295 13 410 2 260 8 325 14 415 3 270 9 355 15 435 4 260 10 345 16 445 5 270 11 375 17 455 6 275 12 405 18 465

Explanation / Answer

A company employs two shifts of workers. Each shift produces a type of gasket where the thickness is the critical dimension. The average thickness and the standard deviation of thickness for shift 1, based on a random sample of 40 gaskets, are 10.85 mm and 0.16 mm, respectively. The similar figures for shift 2, based on a random sample of 30 gaskets, are 10.90 mm and 0.19 mm. Let be the difference in thickness between shifts 1 and 2, and assume that the population variances are equal.

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