IE 6210 Applied Engineering Statistics 7. Ten individuals have participated in a

Question

IE 6210 Applied Engineering Statistics 7. Ten individuals have participated in a diet-modification program to stimulate weight loss. Their weight both before an Fall 2018 d after participation in the program is shown in the following list(20 points) (a) Is there evidence to support the claim that, with 95% significance level this diet modification p mean weight loss of at least 12 pounds? (b) Based on the given sample data, what is the maximum weight loss (in pounds) you can assert that this diet modification program will achieve? rogram will result in a with 95% confidence After Subject 1 2 3 4 Before 195 213 247 201 187 195 221 190 175 197 199 S187 210 215 246 294 310 6 221 1278 285 10

Explanation / Answer

a)

p-value for one-tailed test = 0.0179 < 0.05

hence we reject the null hypothesis

b)

mean = 17

sd = 6.411795

t-critical = 1.8331129

(17 - mu)/(6.411795/sqrt(10)) = 1.8331129

hence

mu = 17 - 1.8331129 * 6.411795/sqrt(10)

= 13.2832

Please rate

t-Test: Paired Two Sample for Means befoe after Mean 231.8 214.8 Variance 1759.733333 1436.622222 Observations 10 10 Pearson Correlation 0.992220726 Hypothesized Mean Difference 12 df 9 t Stat 2.46598481 P(T<=t) one-tail 0.01790268 t Critical one-tail 1.833112933 P(T<=t) two-tail 0.03580536 t Critical two-tail 2.262157163

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