Question 20 Test the claim that /1 is less than /2. A random sample of size 15 yields x1 = 18.12 and s = 1.5, while a random sample of size 18 yields x2 = 19.9 and s = 1.7. Use a = 0.05. 1. The population distribution requirement for this test is: O Need a normally distributed population since this is a T-test None since this is a Z-test O Need a normally distributed population since n, and n2 P2 O Ho: p1 2 p2; Ha : p1 M2 2. This is a O left two right tailed test and the distribution used is O Z since both o values are known O Z since testing two proportions O T since both o values are not knownThe Degrees of Freedom (use the simple estimate discussed in the notes, not the messy formula] are '33:} WA; this is a Z-test ":22: 14 3. The STS (round to 3 decimals} is: The P-value (round to 4 decimals} is: 4. The decision at a = 0.05 is: '3' Do not reject Ho since P > or '3' Reject Ho since P g or '12.? Do not reject Ho since P 3' or C' Reject Ho since P :3 a The conclusion is: '3' There is sufficient evidence to conclude that #1 is less than #2 '33:? There is insufficient evidence to conclude that #1 is not less than #2 '33:? There is insufficient evidence to conclude that p11 is less than #2 '33:? There is sufficient evidence to conclude that #1 is not less than #2