Suppose you want to study the effectiveness of a diet. Suppose that eight people were randomly selected to participate in your study. The weight (lb) of each of the eight participants is recorded before and after the diet in the following table. You know from past studies that body weight is approximately normally distributed. Patient Before After 1 150 146 2 160 159 3 200 200 4 178 174 5 190 189 6 167 160 7 151 148 8 210 198 Mean ($\mu$)
Added by Julia R.
Close
Step 1
(150 + 160 + 200 + 178 + 190 + 167 + 151 + 210) / 8 = 175.625 Show more…
Show all steps
Your feedback will help us improve your experience
David Nguyen and 89 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Researchers want to compare the relative effectiveness of two popular diets. They randomly assign each of 400 volunteers to one of two Groups: A & B. There are 200 volunteers in each group. Group A spends 6 months on Diet A. Group B spends 6 months on Diet B. At the beginning of the study, the difference in average weight between the two groups was negligible. After the study, the Group A had lost on average 7.8 pounds with a standard deviation of 13.4 pounds, while the Group B had lost on average 5.3 pounds with a standard deviation of 14.8 pounds. Without assuming equal variance, calculate the standard error of the difference x̅A - x̅B , accurate to 2 decimal places.
David N.
Use the traditional method of hypothesis testing to test the given claim about the means of two populations. Assume that two dependent samples have been randomly selected from normally distributed populations. The table below shows the weights of seven subjects before and after following a particular diet for two months. Subject A B C D E F G Before: 182 178 199 194 151 188 170 After: 175 169 197 199 137 190 158 Using a 0.01 level of significance, test the claim that the diet is effective in reducing weight
Adi S.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD