[14.44 (modified)] Raw material used in the production of a synthetic fiber is stored in a place that has no humidity control. Measurements of the relative humidity and the moisture content of samples of the raw material (both in percentages) on 12 days yielded the following results: Humidity Moisture content 46 12 53 14 37 11 42 13 34 10 29 60 17 44 12 41 10 48 15 33 9 40 13 (a) Fit a least squares line that will enable us to predict the moisture content in terms of the relative humidity. (b) Use the result of part (a) to estimate (predict) the moisture content when the relative humidity is 38 percent. (c) Test the null hypothesis 8 = 0.350 against the alternative hypothesis 8 tan i) R = {t. : It.| >t x/2, n2 1) Pr(T > 1.812) = 0.05 if T ~ $10 Pr(T > 2.101) = 0.025 if T ~ t18