A researcher is interested in the effects of Stevia on insulin in diabetic mice.
ID: 3315858 • Letter: A
Question
A researcher is interested in the effects of Stevia on insulin in diabetic mice. He has four different treatments which are fed different concentrations of Stevia water, and one control treatment. He subjects each of the 10 mice in each group to the treatment for 7 days, afterwards he measures their insulin levels. 30%Stevia 40% Stevia I Control(0% Stevia) 113 107 108 102 100 102 107 104 110 113 122 126 122 112 118 120 118 128 114 116 138 131 136 130 154 140 146 125 144 131 133 156 147 152 153 154 155 146 152 156 101 98 95 94 92 101 98 100 13. What statistical method is best suited to analyze this data set? a. Two-factor ANOVA d. One-way ANOVA b. One Sample t Test e. Chi-square test of homogeneity c. Paired t Test 14. Match the pre-test with its correct corresponding p-value and conclusion. a. Levene's test, p-value 0.824, must transform data. b. Bartlett's test, p-value 0.029, must transform data. c. Levene's test, p-value 0.182, can proceed with analysis. d. Bartlett's test, p-value 0.009, can proceed with analysis. e. A pretest is not necessary for this analysis. 15. Select the correct result from the analysis a. T-calc 7.50, p-valuec0.001 c. X2 calc 11.093, p-value-0.934 b. F-calc 129.83, p-value c0.001 d. F-calc 141.48, p-valueExplanation / Answer
13) here we have 4 variation of the same treatments, hence we can use a one way ANOVA. Answer is d
14) We use the Pre-hoc test to check variability of variances
Answer is C
15) we use the one way ANOVA and the final test statisitic is
Groups represent our treatments and residuals the error,
Answer is b F-calc 129.83, p value <0.001
16) Performing the Turkey's test as a Post-Hoc we get the following result.We represent 10% Stevia - trt1, 20% stevia -trt2, 30% stevia - trt3, 40 % stevia trt4, control - ctrl
The test is performed at 95% level of significance, hence all p values <0.05 indicate significant effect of the treatment. Here all the p values are less than 0.05 hence all teatments have significnat effect. So the answer is a
17. From the Turkey HSD table provided above we find the diff is higher for trt4- 40% Stevia, so the conclusion is higher stenia has a positive effect on reduction of insulin. Increased Stevia levels leads to lower insulin in mice. Answer is B
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