Question

Chapter Review Problems 303 Ors. to ing eak of 1- 9.77 Studies conducted by the manufacturer of Boston and Ver- mont asphalt shingles have shown product weight to be a major factor in the customer's perception of quality. Moreover, the weight represents the amount of raw materials being used and is therefore very important to the company from a cost standpoint. The last stage of the assembly line packages the shingles before the packages are placed on wooden pallets. Once a pallet is full (a pallet for most brands holds 16 squares of shingles), it is weighed, and the measurement is recorded. The file Pallet contains the weight (in pounds) from a sample of 368 pallets of Boston shin- gles and 330 pallets of Vermont shingles. a. For the Boston shingles, is there evidence at the 0.05 level of significance that the population mean weight is different from 3,150 pounds? b. Interpret the meaning of the p-value in (a). c. For the Vermont shingles, is there evidence at the 0.05 level of significance that the population mean weight is different from 3,700 pounds? d. Interpret the meaning of the p-value in (c). e. In (a) through (d), do you have to be concerned with the nor- mality assumption? Explain.

please use excel to answer. show formulas and explanations.

Answer 1

Given information The last stage of theassembly line packages the shingles before the packages are placedon woodenpallets. Once a pallet is full. (It holds 16 sqaures ofshingles) The data file contains the weight in pounds for a sampleof 368 pallets of Boston Shingles and 330 pallets of Vermontshingles.
This does not includes the sample mean andsample standard deviation so w cannot give the completeanswer
We can give the formulas for this
Null Hypothesis: the mean weight is notdifferent from 3,150. pounds
Alternative Hypothesis: the mean weight isdifferent from 3,150. pounds
The test statistic is given by

X-4 X-3150 Similarlly for part c we have Null Hypothesis: the mean weight is not different from 3,150. pounds Alternative Hypothesis: the mean weight is different from 3,150 pounds

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