Question

In: Statistics and Probability

Ten individuals went on a low-fat diet for 12 weeks to lower their cholesterol. The data...

Ten individuals went on a low-fat diet for 12 weeks to lower their cholesterol. The data are recorded in the table below. Do you think that their cholesterol levels were significantly lowered? Conduct a hypothesis test at the 5% level.

NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

Starting cholesterol level/Ending cholesterol level

140/140

220/240

100/130

240/220  

200/190

180/150

190/200

360/300

280/300

250/240

A) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.)

B) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)

C) What is the p-value? (Round your answer to four decimal places.)

D) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

E) Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Ten individuals went on a low-fat diet for 12 weeks to lower their cholesterol. The data...
Ten individuals went on a low-fat diet for 12 weeks to lower their cholesterol. The data are recorded in the table below. Do you think that their cholesterol levels were significantly lowered? Conduct a hypothesis test at the 5% level. Starting Cholesterol level ending cholesterol level 150 150 210 240 110 130 240 220 200 190 180 150 190 200 360 300 280 300 260 240 1. In words, state what your random variable Xd  represents. a. Xd represents the total...
Ten individuals went on a low-fat diet for 12 weeks to lower their cholesterol. The data...
Ten individuals went on a low-fat diet for 12 weeks to lower their cholesterol. The data are recorded in the table below. Do you think that their cholesterol levels were significantly lowered? Conduct a hypothesis test at the 5% level. Starting cholesterol level Ending cholesterol level 160 160 200 240 100 130 240 220 200 190 180 150 190 200 360 300 280 300 260 240 NOTE: If you are using a Student's t-distribution for the problem, including for paired...
Ten individuals went on a low-fat diet for 12 weeks to lower their cholesterol. The data...
Ten individuals went on a low-fat diet for 12 weeks to lower their cholesterol. The data are recorded in the table below. Do you think that their cholesterol levels were significantly lowered? Conduct a hypothesis test at the 5% level. Starting cholesterol level Ending cholesterol level 140 140 220 250 110 130 240 220 200 190 180 150 190 200 360 300 280 300 260 240 NOTE: If you are using a Student's t-distribution for the problem, including for paired...
A study is conducted to compare mean cholesterol levels for individuals following a low-carbohydrate diet for...
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 (low-fat, low-calorie) diet for at least 6 months. The data are summarized here: Diet Program Sample Size Mean Cholesterol Standard Deviation Cholesterol Low carbohydrate 50 225.4 24.5 Conventional 75 203.8 21.6 Using the five-step approach to hypothesis testing, test if there is a significant difference in mean cholesterol levels between the diet programs using a...
Describe a low carbohydrate diet and a low fat diet. Be sure to describe them at...
Describe a low carbohydrate diet and a low fat diet. Be sure to describe them at the molecular level and relate them to the pathways we’ve studies in this class. Compare and contrast these two with a severe caloric deficit diet (i.e. starvation). Which of the two diets most closely resembles starvation in terms of metabolic pathways.
The ketogenic diet (or keto diet, for short) is a low-carb, high-fat diet that is based...
The ketogenic diet (or keto diet, for short) is a low-carb, high-fat diet that is based on ketogenesis. Explain physiology of ketogenic diet. Explain why a diabetic may benefit from ketogenic diet. Explain the possible adverse side effects of ketogenic diet
This week's focus was a low fat and low salt diet. Answer the questions and share...
This week's focus was a low fat and low salt diet. Answer the questions and share the following information. Also, discuss your personal experience following this meal plan. What advice would you give to a patient that would need to follow this diet. 1.  As you will be reading food labels to select your low Sodium food choices, Discuss something you learned or share with the rest of the class, a food label comparison for sodium content (did you find a...
A health researcher was interested in comparing three methods of weight loss: low-calorie diet, low-fat diet,...
A health researcher was interested in comparing three methods of weight loss: low-calorie diet, low-fat diet, and high-exercise regimen. He selected 15 moderately overnight subjects and randomly assigned 5 to each weight-loss program. The following weight reductions (in pounds) were observed after a one-month period: Low-fat diet: 7,6,8,8,6 low Calorie diet: 7,7,5,4,5 high exercise: 7,8,7,9,8   a) Test the null hypothesis that the extent of weight reduction does not differ by type of weight-loss program. (Set α=.01 level) (10 points) b)...
Suppose that gene therapy could be used to lower levels of cholesterol and saturated fat in...
Suppose that gene therapy could be used to lower levels of cholesterol and saturated fat in the blood, thus allowing people to consume fat-rich fried foods with little risk of heart disease. However, this treatment might not work for everyone, and there would be no way of knowing in advance who would benefit. As a result, some people would inevitably die prematurely from heart disease. Should such gene therapy be approved for use in humans? Answer this question by briefly...
Suppose that gene therapy could be used to lower levels of cholesterol and saturated fat in...
Suppose that gene therapy could be used to lower levels of cholesterol and saturated fat in the blood, thus allowing people to consume fat-rich fried foods with little risk of heart disease. However, this treatment might not work for everyone, and there would be no way of knowing in advance who would benefit. As a result, some people would inevitably die prematurely from heart disease. Should such gene therapy be approved for use in humans? Answer this question by briefly...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT