Need assistance answering the following questions.
A study is conducted to compare mean cholesterol levels for individuals following a low- carbohydrate diet for at least 6 months to individuals following a conventional diet (Low-fat, low calorie) for at least 6 months. The data are summarized below:
Diet Program sample size Mean cholesterol Std Dev Cholesterol
Low carbohydrate 50 225.4 24.5
Conventional 75 203.8 21.6
Test if there is a significant difference in mean cholesterol levels between the diet programs using a 5% level of significance.
A clinical trial is conducted comparing a new pain reliever for arthritis to a placebo. Participants are randomly assigned to receive the new treatment or a placebo and the outcome in pain relief within 30 minutes. The data are shown below:
Pain relief No pain relief
New Medication 44 76
Placebo 21 99
Is there a significant difference in the proportions of patients reporting pain relief? Run the test at a 5% level of significance.
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 this study is to assess how systolic blood pressure changes over time if left untreated. Systolic blood pressure was measured at baseline and again 4 weeks later. Is there a statistically significant different in blood pressure over time? Run the test at 5% level of significance.
Baseline 120 145 130 160 152 143 126
4 weeks 122 142 135 158 155 140 130
