Several clinical researchers investigated the most effective nutritional plans f
ID: 3394923 • Letter: S
Question
Several clinical researchers investigated the most effective nutritional plans for reducing LDL cholesterol. They selected 3 diets: (1) a saturated-fat diet; (2) the Mediterranean diet:; and (3) the U.S. National Cholesterol Education Program NCEP-1) Diet. Before the experiment was conducted, the patients studies were shown to initially have the same LDL levels, and they were randomly assigned to 1 of the 3 nutritional treatment groups. The results are listed in the table below.
Saturated Fat Diet Mediterranean Diet NCEP-1 Diet
245 56 125
123 78 100
166 101 140
104 158 151
196 145 138
Q(8) State the null and alternative hypotheses.
Q(9) Which test is best employed here? Explain your reasoning.
Q(10) What test statistic(s) should be utilized here? Explain your reasoning.
Q(11) Test the claim that the mean LDL cholesterol levels are different at the 95% significance levels.
Q(12) Draw boxplots of the 3 LDL cholesterol levels for the 3 groups to support the above results.
Explanation / Answer
Sol)
8) H0: All the treatment group means are equal
H1: All the treatment group means are not equal
9)
Here we need to test the homogenity of three means we use ANOVA one way( F test).
10)
F statistic =MSt / MSE
11)
From excel
F cal=3.8852
and P value =0.129059
P > alpha(0.05) we accept the null hypothesis.
Anova: Single Factor SUMMARY Groups Count Sum Average Variance Fat 5 834 166.8 3207.7 Mediterrnean 5 654 130.8 381.7 NCEP diet 5 538 107.6 1880.3 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 8898.133 2 4449.067 2.440207 0.129059 3.885294 Within Groups 21878.8 12 1823.233 Total 30776.93 14Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.