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The manufacturer of asphalt shingles provides its Boston and Florida customers with a 20yearwarrantv on most of its products. To determine whether a shingle will
The manufacturer of asphalt shingles provides its Boston and Florida customers with a 20yearwarrantv on most of its products. To determine whether a shingle will last through its. warranty period, accelerated-life testing is conducted at the plant. Acceleratedlife testing exposes the shingle to the stresses it would be subject to in a lifetime of normal use in a laboratory setting via an experiment that only takes a few minutes to conduct. in this experiment, a shingle is repeatedly scraped with a brush for a short period oftime, and the shingle granules removed by the brushing are weighed [in grams). Shingles that experience low amounts of granule loss are expected to last longer in normal use than shingles that experience high amounts of granuia loss. Is there evidence at the 0.01 level of significance that there is a difference in the mean granule loss {in grams) between the shingles in both locations? Boston Vermont Dirence Question 1|] (5 pts.) Add a column to the data table, titled "Difference" and calculate Boston , Vermont for each pair. 0.14 0.38 -0.24 Question 11 (2 pts.) What is the average difference, D-bar, and the standard deviation ofthe sample differences? 0.31 0.33 -0.02 Average Difference, 0.28 0.29 -0.01 Dbar = -0.07 0.14 0.24 -0.10 0.17 0.28 -0.11 Standard Deviation = 0.239243 0.13 0.27 -0.14 0.10 0.28 -0. 18 Question 12 (2 pts.) State the null and alternate hypotheses. 0.11 0.32 -0.21 H1 is 0.27 0.33 -0.06 Hg is 0.24 0.25 70.01 0.19 0.27 70.08 Question 13 (1 pt.) Is the hypothesis test rightetailed, leftetailed, or two tailed? 0.29 0.22 0.07 0.20 0.2?f 70.07
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