Name:Show work when necessary. Each part is worth the same amount. Assume that all necessary conditions are methypothesis tests we have studied.1) Are low-fat diets or low-carb diets more effective for weight loss? A sample of 78 subjects went ona low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was15.0 pounds with a sample standard deviation of 7.77 pounds. A second sample of 74 subjects wenton a low-fat diet. Their sample mean weight loss was 16.3 with a standard deviation of 6.10. Canyou conclude that the mean weight loss differed between the two diets? Use the a = 0.01 level.i). State the appropriate null and alternate hypotheses.ii). Compute the test statistic.iii). How many degrees of freedom are there, using the simple method?iv). Do you reject Ho? State a conclusion.

There are two independent samples which are low-carbohydrate diet and low-fat diet. We have to test…

Answered: 1) Are low-fat diets or low-carb diets…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 80 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.7 kilograms with a sample standard deviation of 7.6 kilograms. A second sample of 76 subjects went on a low-fat diet. Their sample mean weight loss was 2.5 kilograms with a standard deviation of 6 kilograms. Part: 0 / 2 Part 1 of 2 (a) Construct a 98% confidence interval for the difference in mean weight loss between the low-carb and low-fat diets. Let µ₁ denote the mean weight loss for low-carb diet. Use the TI-84 calculator and round the answers to one decimal place. A 98% confidence interval for the difference in mean weight loss between the low-carb and low-fat diets is
Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 48 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 2.9 kilograms with a sample standard deviation of 4.46 kilograms. A second sample of 46 subjects went on a low-fat diet. Their sample mean weight loss was 1.5 kilograms with a standard deviation of 3.44 kilograms. Can you conclude that the mean weight loss of subjects having low-carb diets is greater than the mean weight loss of subjects having low-fat diets? Let µ₁ denote the mean weight lost on the low-carb diet and μ₂ denote the mean weight lost on the low-fat diet. Use the a=0.1 level and the TI-84 Plus calculator. Part 1 of 4 State the appropriate null and alternate hypotheses. : Ho |-1 = U2 : H₁ H₁ H₂ This hypothesis test is a right-tailed Part: 1 / 4 Part 2 of 4 Compute the P-value. Round the answer to four decimal places. P = X test. 3
In a test of the effectiveness of garlic for lowering cholesterol, 49 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.8 and a standard deviation of 15.5. Use a 0.01 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
In a test of the effectiveness of garlic for lowering cholesterol, 49 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.1 and a standard deviation of 1.93. Use a 0.10 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: H=0 mg/dL O B. Ho: H=0 mg/dL H1: µ#0 mg/dL H1:H>0 mg/dL OC. Ho: H>0 mg/dL H1:H<0 mg/dL O D. Ho: H=0 mg/dL H1:H<0 mg/dL Determine the test statistic, O (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal…
The advertising budgets of small stores in Los Angeles is normally distributed with a mean of $5,400 and a standard deviation of $2,100. What percentage of small stores in L.A. have an advertising budget less than $5,000 or greater than $6,000?
A researcher would like to determine if relaxation training will affect the number of headaches for chronic headache sufferes. For a week prior to training, each of nine subjects record the number of headaches suffered. Subjects then receive relaxation training and for the week following training the number of headaches is again measured. The change in number of headaches before and after training was MD=-3 with a standard deviation of SD=3. Does training significantly reduce headaches? test with a level of significance of .05.
Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 75 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.7 kilograms with a sample standard deviation of 7 kilograms. A second sample of 77 subjects went on a low-fat diet. Their sample mean weight loss was 2.5 kilograms with a standard deviation of 6.1 kilograms. Construct a 98% confidence interval for the difference in mean weight loss between the low-carb and low-fat diets. Let M, denote the mean weight loss for low-carb diet. Use the TI-84 calculator and round the answers to one decimal place. A 98% confidence interval for the difference in mean weight loss between the low-carb and low-fat diets is ___
In a test of the effectiveness of garlic for lowering cholesterol, 49 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.7 and a standard deviation of 18.8. Use a 0.05 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
When 40 people used Weight Watchers for one year, their mean weight loss was 3.0 lbs and their standard deviation was 4.9 lbs. Use a 0.01 level of significance to test the claim that the mean weight loss is greater than 0 lbs. Based on your results, does the diet appear to be effective? Does it have practical significance?
In a test of the effectiveness of garlic for lowering cholesterol, 36 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.6 and a standard deviation of 2.43. Use a 0.05 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? Ο Α. Ho : μ=0 mg/dL B. Ho: µ= 0 mg/dL H1: µ#0 mg/dL H1: µ 0 mg/dL O D. Ho: µ= 0 mg/dL H1: µ >0 mg/dL H1:µ<0 mg/dL Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.)…
Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 76 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.6 kilograms with a sample standard deviation of 7.07 kilograms. A second sample of 78 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a standard deviation of 5.83 kilograms. Can you conclude that the mean weight loss of subjects having low-carb diets is greater than the mean weight loss of subjects having low-fat diets? Let u, denote the mean weight lost on the low-carb diet and ₂ denote the mean weight lost on the low-fat diet. Use the a= 0.01 level and the TI-84 Plus calculator. Part: 0 / 4 Part 1 of 4 1441 State the appropriate null and alternate hypotheses. B>D O=O Ho: H₁: Hi P₂ This hypothesis test is a (Choose one) test. ロ<ロ

A company collects information about retail prices of history books. During the year 2000, the mean retail price of all history books was $51.46. This year, for 40 randomly selected history books, the sample mean is i = $54.89, and the sample standard deviation is s = $7.61. At 1% significance level, do the data provide sufficient evidence to conclude that this year's retail price of all history books has increased from the mean ē = $51.46 of the year 2000? (Solve the problem by stating the null hypothesis and the alternative hypothesis). Calculate the P-value using the test statistic.

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