Question

(3 points) Randomly selected students were given five seconds to estimate the value of a product of numbers with the results shown below. Estimates from students given 1 x 2 X 3 X 4 X 5 X 6 X 7 X 8: 500, 42200, 4000, 856, 5000, 10000, 800, 6000, 50, 200 Estimates from students given 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1: 3500, 25000, 1876, 40000, 5000, 2500, 10000, 100000, 1500, 1500 Use a 0.05 significance level to test Ho : 0 = ož vs. He : 01 + 02 : (a) The test statistic is (b) The larger critical value is (c) The conclusion is A. There is not sufficient evidence to reject the claim that the two populations have equal variances. (So, we can assume the variances are equal.) B. There is sufficient evidence to reject of the claim that the two populations have equal variances. (So, we can assume the variances are unequal.)

Answer 1

the first The y sample second a) null and variance of sample 8,9 = 163889524 variance of sample Sony = 960462 318 Alternate hypothesi Ho! G² = 022" Hii 0,² 022 statistici F = 4² b) Test 50.171 163889 524 9.60462 318 Rejection Region :- . The level of significance x = 0.05 R=SFI F 50.248 or F74.0269 e critical values E = 0.248 ; FG = 4:026 ③ since 0.171 < { = 0.248, so we reject Null hypothesis. There is sufficient evidence to reject the claim that the two population have equal variances.