When 40 people use the Weight Watchers diet for one year, their mean weight loss was...
- When 40 people use the Weight Watchers diet for one year, their mean weight loss was 3.0 pounds. Historically the standard deviation is σ = 4.9 pounds (based on data from “Comparison of the Atkins, Ornish, Weight Watchers, and Zone Diets for Weight Loss and Heart Disease Reduction,” by Dansinger, et al., Journal of the American Medical Association, Vol. 293, No. 1). Use a 0.01 significance level to test the claim that the mean weight loss is greater than 0.
a. State the null and alternate hypotheses. (This part was used for the Hypothesis Testing Forum)
b. Explain whether your test will be left, right or two-tailed.
c. State the test statistic and p-value of your test. Round your answers to four-decimal places.
d. Explain your conclusion to reject or fail to reject the null hypothesis in terms of p and α.
e. Interpret your conclusion in the context of this problem.
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When 40 people use the Weight Watchers diet for one year, their
mean weight loss was...
13. When 40 people used the Weight Watchers diet for one year, their mean weight loss...
13. When 40 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 lb and the standard deviation was 4.9 lb. Use a 0.05 significance level to test the claim that the mean weight loss is greater than 0. Show graphing calculator command in the box below. Step 1: Claim: Step 2: Opposite of the Claim: Step 3: Ho: H: Step 4: a = 0.05 Step 5: Test Statistie: Step 6: P-value Step 7: Step...
1. Weight Watchers claims that people following their program can expect to lose more than 10 lbs in 2 months with a standard deviation of 1.3 lbs. Researchers selected a group of 50 people participat...
1. Weight Watchers claims that people following their program can expect to lose more than 10 lbs in 2 months with a standard deviation of 1.3 lbs. Researchers selected a group of 50 people participating in the program and monitored their weight loss over 2 months. The mean weight loss over the 2 months was 10.4 lbs. We want to know if this result supports Weight Watchers’ claim. a. Draw a normal curve for the sampling distribution of samples of...
Weight Watchers Company has a new diet plan and according to the advertisement the company claims...
Weight Watchers Company has a new diet plan and according to the advertisement the company claims that a steady diet on their new plan for 8 weeks will cause individuals weighing over 150lbs to lose at least 15 lbs. in over an 8 week period. A random sample of 36 individuals meeting the inclusion criteria had an average weight loss over 8 weeks of 12.5 pounds, and standard deviation of 12 lbs. a. State the null and alternative hypothesis. b....
The NIH wants to compare the mean weight loss for five different diets. They measure the...
The NIH wants to compare the mean weight loss for five different diets. They measure the weight loss (in pounds) of 5 men F25 assigned to each of the diets for one month. The resulting data set is below. Use this file: Assignment 9q3 data FOR R a) Which of the following is NOT an assumption that should be checked before performing an ANOVA? 1 Pounds Diet 1.7 0.7 0.8 0.6 0.1 1.2 1.6 1.5 . The average weight loss...
It is assumed that the mean weight of a Labrador retriever is 70 pounds. A breeder...
It is assumed that the mean weight of a Labrador retriever is 70 pounds. A breeder claims that the average weight of an adult male Labrador retriever is not equal to 70 pounds. A random sample of 45 male Labradors weigh an average of 73.6 pounds with a standard deviation of 15.1 pounds. Test the breeder's claim at a = 0.01. Part a: State the null and alternate hypothesis. Part b: Sketch, label and shade the rejection region. Part c:...
Find the null hypothesis and alternate hypothesis.
When 50 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 lb and standard deviation was 4.9lb. Assume that the population standard deviation is 5.0 lb. Use a 0.01 significance level to test the claim that the mean weight loss is greater than 1.5.Find the null hypothesis and alternate hypothesis.H0: [ Select ] ["p", "mu"] ...
When 60 people used a certain diet for one year, their weight losses had a standard...
When 60 people used a certain diet for one year, their weight losses had a standard deviation of 4.7lb. Use a 0.10 significance level to test the claim that the amounts of weight loss have a standard deviation equal to 6.1lb, which appears to be the standard deviation for the amounts of weight loss with a different diet. Assume that a simple random sample is selected from a normally distributed population. What are the correct hypotheses for this test? Calculate...
In a test of weight loss programs, 120 subjects were divided such that 40 subjects followed...
In a test of weight loss programs, 120 subjects were divided such that 40 subjects followed each of 3 diets. Each was weighed a year after starting the diet and the results are in the ANOVA table below. Use a 0.05 significance level to test the claim that the mean weight loss is the same for the different diets. Source of Variation SS df MS F P-value Fcrit Between Groups 91.990 2 45.99487 1.3743 0.257070 3.073763 Within Groups 3915.738 117...
The mean weight of all 20-year-old women is 128 pounds. A random sample of 40 vegetarian women ho...
The mean weight of all 20-year-old women is 128 pounds. A random sample of 40 vegetarian women ho are 20 years old showed a sample mean of 122 pounds with a standard deviation of 15 pounds. women's measurements were independent of each other. Determine whether the mean weight tor 20 year-old vegetarian women is significantly less than 128, using a significant level of 0.05 The (a) (4 points) State the null and alternative hypotheses using both symbols and words (be...
Chicken diet and weight. In previous chapter, we compared the effects of two types of feed...
Chicken diet and weight. In previous chapter, we compared the effects of two types of feed at a time. A better analysis would first consider all feed types at once: casein, horsebean, linseed, meat meal, soybean, and sunflower. The ANOVA output below can be used to test for differences between the average weights of chicks on different diets. DF Sum Sa Mean Sq F value Pr(>F) feed 5 231129.16 46225.83 15.36 0.0000 residuals 65195556.02 3008.55 Conduct a hypothesis test to...
13. When 40 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 lb and the standard deviation was 4.9 lb. Use a 0.05 significance level to test the claim that the mean weight loss is greater than 0. Show graphing calculator command in the box below. Step 1: Claim: Step 2: Opposite of the Claim: Step 3: Ho: H: Step 4: a = 0.05 Step 5: Test Statistie: Step 6: P-value Step 7: Step...
The NIH wants to compare the mean weight loss for five different diets. They measure the weight loss (in pounds) of 5 men F25 assigned to each of the diets for one month. The resulting data set is below. Use this file: Assignment 9q3 data FOR R a) Which of the following is NOT an assumption that should be checked before performing an ANOVA? 1 Pounds Diet 1.7 0.7 0.8 0.6 0.1 1.2 1.6 1.5 . The average weight loss...
It is assumed that the mean weight of a Labrador retriever is 70 pounds. A breeder claims that the average weight of an adult male Labrador retriever is not equal to 70 pounds. A random sample of 45 male Labradors weigh an average of 73.6 pounds with a standard deviation of 15.1 pounds. Test the breeder's claim at a = 0.01. Part a: State the null and alternate hypothesis. Part b: Sketch, label and shade the rejection region. Part c:...
In a test of weight loss programs, 120 subjects were divided such that 40 subjects followed each of 3 diets. Each was weighed a year after starting the diet and the results are in the ANOVA table below. Use a 0.05 significance level to test the claim that the mean weight loss is the same for the different diets. Source of Variation SS df MS F P-value Fcrit Between Groups 91.990 2 45.99487 1.3743 0.257070 3.073763 Within Groups 3915.738 117...
The mean weight of all 20-year-old women is 128 pounds. A random sample of 40 vegetarian women ho are 20 years old showed a sample mean of 122 pounds with a standard deviation of 15 pounds. women's measurements were independent of each other. Determine whether the mean weight tor 20 year-old vegetarian women is significantly less than 128, using a significant level of 0.05 The (a) (4 points) State the null and alternative hypotheses using both symbols and words (be...
Chicken diet and weight. In previous chapter, we compared the effects of two types of feed at a time. A better analysis would first consider all feed types at once: casein, horsebean, linseed, meat meal, soybean, and sunflower. The ANOVA output below can be used to test for differences between the average weights of chicks on different diets. DF Sum Sa Mean Sq F value Pr(>F) feed 5 231129.16 46225.83 15.36 0.0000 residuals 65195556.02 3008.55 Conduct a hypothesis test to...
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