Question

The table below contains the results from random samples of two populations. Sample 51.6 40.3 36.9 34.7 34.7 40.2 40.2 43 32.6 Sample 2 32.3 35.8 37.7 40.8 40.5 45.1 34.2 29.3 43 45 365 30.5 28.2 44.7 29.4 29.4 43.7 44.7 41.5 33.5 At a = 0.10, test the claim that the standard deviation of Population 1 is less than the standard deviation of Population 2. 1. The alternate hypothesis is Ha: Os <s Οσι < σ2 OO <o O si < 52 2. This is a left tailed test with: dn = and dfa = 3a. The STS (to 2 decimals) is F = 3b. The P-value (to 3 decimals) is: 4a. At a = 0.10, the decision is: O Do not reject Ho O Accept Ho O Accept Ha Reject Ho 4b. The conclusion is: There is sufficient evidence to support the claim that ai is less than 02 There is insufficient evidence to support the claim that oz is less than 02 There is insufficient evidence to reject the claim that ou is less than 02 There is sufficient evidence to reject the claim that is less than 02

Answer 1

from given derter We hohe 5,7=43,961, N=10, St= 31.0403, N=44 We wish to test Ho: 613 6x² Vs H: 61-6² 1 . 2. This is Joft tailed fast with dfal = 12-1 = 14-1=13 dinge nii = 10-1=9 3. S² F 43.961 31.0403 1.416 دری 12 prake: lince it is left tailed ist p.value = P(F= 1416) - 1-9(F51416) = 1-0-7245 0.2555 p.value = 0.276 h 0 2:0.10 02767010. pvulle > Significance Jered Do not deject Ho There is insufficient exidence to support the claim that GI is less than 62 b) CS Scanned with CamScanner