Reference no: EM132843451

Please show detailed responses with explanation for each answer, including equations used.

1. A clinical trial is planned to compare an experimental medication designed to lower blood pressure to a placebo. Before starting the trial, a pilot study is conducted involving 7 participants. The objective of the study is to assess how systolic blood pressure changes over time untreated. Systolic blood pressures are measured at baseline and again 4 weeks later. Is there a statistically significant difference in blood pressures over time? Run the test at a 5% level of significance.

Baseline 120 145 130 160 152 143 126

4 Weeks 122 142 135 158 155 140 130

Step 1. Set up hypotheses and determine level of significance.

Step 2. Select the appropriate test statistic.

Step 3. Set up decision rule.

Step 4. Compute the test statistic.

Step 5. Conclusion.

2. A study is run to estimate the mean total cholesterol level in children 2-6 years of age. A sample of 9 participants is selected and their total cholesterol levels are measured as follows.

185 225 240 196 175 180 194 147 223

a) Assume the mean total cholesterol level is 190 in children 2-6 years of age at national level. Test whether the cholesterol level in this sample is significantly different from national level?

b) Generate a 95% confidence interval for the true mean total cholesterol levels in children 2-6 years of age.