For each of the following situations give either the response "could happen" (CH) or the response "impossible"

(a) In comparing before-and-after data on the performances of 37 mutual funds, the standard deviations were Sbefore = 42.4 and Safter = 47.2. The standard deviation of the "after minus before" difference was 12.4. ( b ) Martha had a sample of data X], X2,...,x, in inches and tested the null hypothesis H: u = 10 inches against the alternative hypothesis H, : H # 10 inches. Edna converted the data to centimeters by multiplying by 2.54 mm and tested Ho: u = 25.4 cm against H,: u # 25.4 cm. Martha accepted the null hypothesis while Edna (using the same a) rejected it. (c) In a single sample x = 15.2 and s = 33.5. (d) In a very strong linear relationship, the correlation was found as r = 1.18. (e) A hypothesis test was done at the 5% level of significance, and H, was rejected. With the same data, but using the 1% level of significance, H. was again rejected. (f) With a single sample of n = 22 values, the 95% confidence interval for u was found as 85.0 + 6.2 and the null hypothesis H: u = 92 (tested against alternative H,: u # 92) was accepted at the 5% level of significance. (g) In a regression involving dependent variable Y and possible independent variables G, H, K, L, and M, the regression of Y on (G, H, L) had R2 = 53.2% and the regression of Y on (G, K, M) had R2 = 56.4%. (h) In a regression involving dependent variable D and possible independent variables R, S, and V, the F statistic was significant at the 5% level while all three t statistics were non-significant at the 5% level. (i) For a regression with two independent variables, it was found that SSregr = 58,400 and SSerror = 245,800. (i) In a linear regression problem, AGE was used as one of the independent variables, even though AGE = 6 for every one of the data points (which were first-grade children). The estimated coefficient was found to be bAGE = 0.31