Are low-fat diets or low-carb diets more effective for weight loss? A sample of 77 subjects went on a low-carbohydrate diet for six months. At the end of that time the sample mean weight loss was 4.7 kg with a sample standard deviation of 7.2 kg. A second sample of 79 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kg with a standard deviation of 5.9 kg. Can you conclude that the mean weight loss is greater for those on the low-carbohydrate diet? Find the P-value and state a conclusion. Round the answer to four decimal places.
Added by Ines G.
Step 1
The null hypothesis (H0) is that the mean weight loss is the same for both diets. The alternative hypothesis (H1) is that the mean weight loss is greater for the low-carb diet. H0: μ1 - μ2 = 0 H1: μ1 - μ2 > 0 Where μ1 is the mean weight loss for the low-carb Show more…
Show all steps
Close
Your feedback will help us improve your experience
Farruh Turgunov and 97 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
Lucas F.
Are low-fat diets or low-carb diets more effective for weight loss? A sample of 77 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.8 kg with a sample standard deviation of 7.2 kg. A second sample of 79 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kg with a standard deviation of 6.0 kg. Can you conclude that the mean weight loss on the low-carbohydrate diet is 1 kg more than that of the low-fat diet? Find the P-value and state a conclusion. Round the answer to four decimal places. The P-value is We cannot conclude that the mean weight loss on the low-carbohydrate diet is 1 kg more than that of the low-fat diet.
Adi S.
Are low-fat diets or low-carb diets more effective for weight loss? A sample of 77 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.6 kg with a sample standard deviation of 7.2 kg. A second sample of 79 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kg with a standard deviation of 5.8 kg. Can you conclude that the mean weight loss is greater for those on the low-carbohydrate diet? Find the P-value and state a conclusion. Round the answer to four decimal places. The P-value is 0.0233. We can conclude that the mean weight loss is greater for those on the low-carbohydrate diet.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD