Reference no: EM1360004
Studies conducted by the manufacturer of 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. Data containing the weight in pounds from a sample of 368 pallets of Bridgetown shingles and 330 pallets of Holetown shingles are contained in Pallet data which can be downloaded from the class website.
a. For Bridgetown shingles, is there evidence that the mean weight is different from 3,150 pounds?
b. Interpret the meaning of the p-value in (a).
c. Construct a 95% confidence interval for the mean weight of Bridgetown shingles. Interpret its meaning. Use it to determine if the mean weight is different from 3,150 pounds.
d. For Holetown shingles, is there evidence that the mean weight is different from 3,700 pounds?
e. Interpret the meaning of the p-value in (d).
f. Construct a 95% confidence interval for the mean weight of Holetown shingles. Interpret its meaning. Use it to determine if the mean weight is different from 3,700 pounds.