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please show work and which calculator function to use. 5. A nutritionist wants to see if a supplemental vitamin works in assisting individuals lose weight

please show work and which calculator function to use.

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5. A nutritionist wants to see if a supplemental vitamin works in assisting individuals lose weight (meaning they weighed more before taking the supplement and less after). A random sample of 15 adults in a nationwide weight loss program is collected. Participants are weighed (in pounds) before given the vitamin and weighed after 3 weeks of taking the vitamin daily. The raw data follows. Before 191 246 226 196 251 |240 209 204 250 253 192 198 233 250 225 After 188 241 227 200 251 234 206 203 248 247 189 194 232 251 228 A) Are the data independent or dependent? Explain your reasoning. B) Construct a new list that shows the change in weight (Before minus After) of the individuals participating in the weight loss program. Before Minus After C) State the null and alternative hypotheses. Which test in the calculator should be run for this test? D) Compute the t-test statistic and corresponding p-value. E) What is the test decision and the conclusion in context drawn from the hypothesis test at a 0.05 significance level

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