Question

3. In a paper "The Probable Error of Mean", William Gosset, compared yields of head corn in pounds per acre for two preparations of seed. (Source: Biometrica, Vol. VI, No.1, 1908). The descriptive statistics for the data used are as follows: Yields fron kiln-dried seed: ni = 11, Z.-18752, 81 = 332.9 Yields fron not kiln-dried seed: n2 = 11, 2 = 1841.5. s2 = 342.68 (a 7 points. At 5% significance level, test if these data provide sufficient evidence to conclude that average yields by two preparations of seed are significantly different. (b) 4 points. Circle a letter that represents correct interpretation of the decision made in part (a). (A) At 5% significance level, the data do not provide sufficient evidence to conclude that the population average yields resulting from two preparations of seeds are significantly different. (B) At 5% significance level, the data do not provide sufficient evidence to conclude that the sample average yields resulting from two preparations of seeds are significantly different. average yields resulting from two preparations of seeds are significantly different. average yields resulting from two preparations of seeds are significantly different. C) At 5% significance level, the data provide sufficient evidence to conclude that the population (D) At 5% significance level, the data provide sufficient evidence to conclude that the sample (c) 4 points. Calculate the p-value of the test.

Answer 1

nent. x2, 도 1841, sT 、12-342-68 shone Cs Scanned with CamScanner

Te 9,350192- く 9.300192 Scanned with CamScanner

RRGui (32-bit) File Edit Packages Windows Help R R Console nl-11 n2-11 > x1b=1875.2 > x2b=1841 , 5 > slsq 332.9 >s2sq 342.68 ssq(((nl-1) slsq)+((n2-1) s2sq)/(nl+n2-2) > T-(xlb-x2b)/sqrt ((2 ssq)/11) >gt (0.975,n1+n2-2) [1] 2.085963 abs (T) [11 4.300192 [11 4.300192 >1- (pt (4.300192,20)-pt (-4.300192,20)) [11 0.0003487081