Question 12 Weight before diet 181 221 201 183 192 Weight one year later 173 217 195 181 194 The table above shows a random sample of 5 people's weights before they started a one month diet, and one year after they completed the diet. Test the claim that the mean weight decreased. Use or = 0.01. For correct grading, use d = before - after. 1. The population distribution requirement for this test is: O Need a normally distributed population O None needed The hypotheses are: O Ho: /1 2 12; Ha: HI M2 O Ho: /1 = 12; Ha: M1 # 12 O Ho: Ma 2 0; Ha: Ma 0 O Ho: Ha = 0; Ha: Ma # 02. This is a '33:? two'3333' leftO right tailed test and the test used is a: '33:} 2-Sample T-Test {independent populations) '3' 2-Sample Z-Test (independent populations} '3' Paired T-Test (dependent populations} The Degrees of Freedom (If needed, use the simple estimate discussed in the notes, not the messy formula} are "'1? 4 -:"::::- 5 '13:} WA; this is a Z-test 3. The STS (round to 3 decimals} is: The P-value (round to 4 decimals} is: 4. The decision at or = 0.01 is: '5'} Do not reject Ho since P :5 o: ""3? Reject Ho since P g o: ""333 Reject Ho since P 1: or '33:? Do not reject Ho since P > or The conclusion is: '5'} There is sufficient evidence to conclude that on average, weight decreased "'3' There is insufficient evidence to conclude that on average, weight decreased '51? There is sufficient evidence to reject the claim that on average, weight decreased "'3' There is insufficient evidence to reject the claim that on average, weight decreased