14. You would like to know how effective a diet program is at helping people lose weight. 18 over-weight people are randomly selected to participate in the program. They are weighed before and after the program and the results are listed below. Do these results give evidence that the diet program is effective at the 1% significance level? Participant 1 2 3 4 5 6 185 220 190 158 227 211 175 215 195 155 230 207 Before After Participant Before After 7 8 9 10 11 12 260 156 201 300 180 270 258 159 201 290 172 272 Participant 13 14 15 16 17 18 205 151 291 166 293 183 290 185 200 146 287 166 Before After
: (Null and Alternate Hypothesis, Rejection Region)
A. Ho: µ = 0; Ha: µ < 0; Rejection Region: z < -2.34
B. Ho: µD = 0; Ha: µD < 0; Rejection Region: t < -2.57
C. Ho: µ = 0; Ha: µ > 0; Rejection Region: z > 2.34
D. Ho: µD = 0; Ha: µD ≠ 0; Rejection Region: z < -2.58 or z > 2.58
E. Ho: µD = 0; Ha: µD ≠ 0; Rejection Region: t < -2.90 or t > 2.90
(Mean Difference, and Test Statistic)
A. µD = -1.889; t = -2.331
B. µD = -2.444; t = -9.891
C. µD = -1.889; z = -2.331
D. µD = -2.444; t = -2.331
E. µD = -211.278; z = 18.333
(p-value and conclusion)
A. p = 0.026; FRHo (No sufficient evidence to reject the claim)
B. p = 0.038; RHo (Sufficient evidence exists to reject the claim)
C. p = 0.038; FRHo (No sufficient evidence to reject the claim)
D. p = 0.016; RHo (Sufficient evidence exists to reject the claim)
E. p = 0.016; FRHo (No sufficient evidence to reject the claim)
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