95% Confidence on Best Shingle Option

An important quality characteristic used by the manufacturer of Boston and Vermont asphalt shingles is the amount of moisture the shingles contain when they are packaged. Customers may feel that they have purchased a product lacking in quality if they find moisture and wet shingles inside the packaging. In some cases, excessive moisture can cause the granules attached to the shingle for texture and coloring purposes to fall off the shingle, resulting in appearance problems. To monitor the amount of moisture present, the company conducts moisture tests. A shingle is weighed and then dried. The shingle is them reweighed and based on the amount of moisture taken out of the product; the pounds of moisture per 100 square feet are calculated. The company would like to show that the average moisture content is less than 0.35 pounds per 100 square feet. The data is below; it includes 36 measurements (in pounds per 100 square feet) for the Boston shingles and 31 for the Vermont Shingles.
Please answer the following questions:

Find the descriptive statistics (mean, median, mode, standard deviation, and range) for the Boston and Vermont shingles. Using the given information on the Boston and Vermont shingles, prove there is evidence at the 0.05 level of significance that the mean moisture content is less than 0.35 pounds per 100 square feet (use p-value). Calculate the Type I and Type II errors for the Boston and Vermont shingles using a significance level of 0.05 and a confidence interval of 95%. In your summary discuss which shingle is damaged most by the moisture. (What is the better shingle?)

Moisture Weight (pounds per 100 square feet)
Boston Vermont
0.44 0.26 0.16 0.27 0.14 0.17 0.31 0.39
0.61 0.14 0.2 0.4 0.15 0.13 0.43
0.47 0.33 0.22 0.29 0.31 0.23 0.26
0.3 0.13 0.42 0.43 0.16 0.11 0.18
0.15 0.72 0.24 0.34 0.37 0.1 0.44
0.24 0.51 0.21 0.37 0.18 0.19 0.43
0.16 0.28 0.49 0.42 0.22 0.16
0.2 0.39 0.34 0.58 0.44 0.52
0.2 0.39 0.36 0.25 0.11 0.36
0.2 0.25 0.29 0.41 0.11 0.22

Source: http://fozzy.wvstateu.edu/~lewis/projects/203project3.html