Question 1.) An investigator hypothesizes that cholesterol levels in children might be affected by educating their parents on proper nutrition and exercise. A sample of 40 families with a child between the ages of 10 to15 who has been diagnosed with high cholesterol agree to participate in the study. All parents are provided educational information on nutrition and exercise. After following the prescribed program, their child's total mean cholesterol level is measured. The children's mean cholesterol level is 175 with a standard deviation of 19.5. Is there significant evidence of a reduction in total cholesterol in the children? Run the appropriate test at the 5% level of significance and assume that the null value for total cholesterol is 191.

Question 2.) Suppose more detail is recorded in the primary outcome in the clinical trial described in Problem 10. The data are shown in Table 7-57. Is there a difference in the change in symptoms by treatment group? Run the appropriate test at a 5% level of significance.

Table 7-57

Treatment Much Worse Worse No Change Better Much Better

Experimental 10 17 35 28 10

Placebo 12 25 42 12 9

Question 3.) Suppose a secondary outcome is recorded in the trial described in Problem 10 reflecting asthma severity on a scale of 0 to 100, with higher scores indicating more sever symptoms. In the participants who receive the experimental medication, the mean symptom score is 74 with a standard deviation of 5.6, and in the placebo group, the mean symptom score is 85 with a standard deviation 6.0. Is there a significant difference in mean symptom scores between groups? Run the appropriate test at a 5% level of significance.

Question 4.) Suppose a hypertension trial is mounted and 18 participants are randomly assigned to one of three comparison treatments. Each participant takes the assigned medication and their systolic blood pressure is recorded after 6 months on the assigned treatment. The data are shown in Table 7-58. Is there a difference in mean systolic blood pressure among treatments? Run the appropriate test at alpha= 0.05

Table 7-58

Standard treatment Placebo New Treatment

124 134 114

111 143 117

133 148 121

125 142 124

128 150 122

115 160 128

Question 5.) Suppose the results of the analyses in Problem 15 through 17 are reported and criticized because the participants were not randomized to different diets, and that there may be other factors associated with change in cholesterol. A third study run to estimate the effect of the low-carbohydrate diet on cholesterol levels. In the third study, participants cholesterol levels are measured before starting the program and then after 6 months on the program. The data are shown below:

Before Program 210 230 190 215 260 200

After 6 months 215 240 190 200 280 210

Is there a significant increase in cholesterol after 6 months on the low-carbohydrate diet? Run the appropriate test at a 5% level of significance.

Question 6.) A study is conducted to compare three new appetite suppressants (A,B, and C) to a placebo in terms of their effects on weight reduction. A total of 80 participants are involved and are randomly assigned to the comparison groups in equal numbers. The outcome of interest is weight reduction, measured in pounds. The data shown in Table7-61 are observed after 3 months on treatment. Is there a significant difference in mean weight reduction among the four treatments? Use as 5% level of significance. (Hint: SST = 1889.)

Table 7-61

Mean (SD) A B C Placebo

weight reduction 6.4 (4.1) 8.9 (4.0) 2.2 (3.9) 2.5 (4.3)

Please show all calculations so I can understand and show my work. Look forward to hearing back from you

Subject | Mathematics |

Due By (Pacific Time) | 02/06/2014 11:59 pm |

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