(20) A dietitian wishes to see if a person’s cholesterol level will change if the diet is supplemented by a certain mineral. Five randomly selected subjects were pre-tested, and then they took the mineral supplement for a 6-week period. The Cholesterol level before and after taking the mineral supplements are shown in table below. (Cholesterol level is measured in milligrams per decilitre). Test the hypothesis to conclude that cholesterol level has been changed. Subject: 1 2 3. 4 5 Before: 210 208 190 172 244 After: 190 210 188 173 228 (a) State Null and Alternate Hypothesis. Clearly define the parameters (b) State Test Statistic and find its value. What assumptions/ conditions must you make/check in order to find out the value of Test Statistic? (c) Find the p-value (
Q1 (20) A dietitian wishes to see if a person’s cholesterol level will change if the diet is supplemented by a certain mineral. Five randomly selected subjects were pre-tested, and then they took the mineral supplement for a 6-week period. The Cholesterol level before and after taking the mineral supplements are shown in table below. (Cholesterol level is measured in milligrams per decilitre). Test the hypothesis to conclude that cholesterol level has been changed.
Subject: 1 2 3. 4 5
Before: 210 208 190 172 244
After: 190 210 188 173 228
(a) State Null and Alternate Hypothesis. Clearly define the parameters
(b) State Test Statistic and find its value. What assumptions/ conditions must you make/check in order to find out the value of Test Statistic?
(c) Find the p-value (
d) Carry out test of hypotheses at 5% level of significance and state the conclusion in context of problem.
(e) Find out the 95% confidence interval for true average change in the cholesterol level.
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