Fear of heights - A psychologist has developed a new treatment for acrophobia (the extreme fear of heights) and wants to compare the results of thisnew treatment to the results of the standard treatment. A study is conducted where a random sample of 16 patients undergo the new treatment andtheir improvement scores on a diagnostic test are compared to a control sample of 13 patients who received the standard treatment. Summary scoresfor both groups are shown in the table below.Treatment Sample Mean Sample Standard DeviationNew50.912Standard47.211.4The degrees of freedom for this problem is d f26.287709.1. Select the hypotheses that should be used to assess if the new treatment results in higher average improvement scores than the standard treatment.А. Но : И1= µ2 vs. Ha : H1 # µ2OB. Ho : µ1 = µ2 vS. Ha : H1 < µ2ос. Но : Иј — И2 vs. Ha : Hi > H22. Calculate the test statistic.?V =3. Calculate the p-value.p-value =

Given Data : For Sample 1 x̄1 = 50.9 s1 = 12.0 n1 = 16 For Sample 2…

Answered: their improvement scores on a…

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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Almost all medical schools in the United States require applicants to take the Medical College Admission Test (MCAT). On one exam, the scores of all applicants on the biological sciences part of the MCAT were approximately Normal with mean 9.5 and standard deviation 2.4. For applicants who actually entered medical school, the mean score was 10.8 and the standard deviation was 1.8. (a) What percent of all applicants had scores higher than 11? ANSWER: % (b) What percent of those who entered medical school had scores between 9 and 12? ANSWER: %
What does a statistically significant t test indicates?
Low-fat or low-carb? 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 kilograms with a sample standard deviation of 7.16 kilograms. A second sample of 79 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a standard deviation of 5.90 kilograms. Can you conclude that the mean weight loss differs between the two diets? Let 4, denote the mean weight lost on the low-carb diet and u, denote the mean weight lost on the low-fat diet. Use the a = 0.01 level and the TI-84 Plus calculator. Compute the -value. Round the answer to four decimal places. Determine whether to reject H0 State a conclusion
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 0.7 and a standard deviation of 2.33. 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, 81 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 0.9 and a standard deviation of 20.8. 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? O B. H,: H=0 mg/dL Ο Α. Η μ=0 mgldL H1: µ0 mg/dL O D. H,: µ> 0 mg/dL H: µ<0 mg/dL Determine the test statistic. (Round to two decimal places as needed.)
Two accounting professors decided to test if the variance of their grades is different or no. To accomplish this, they each graded the same 10 exams with the following results: Standard Deviation 22.4 Mean Grade Professor 1 79.3 Professor 2 82.1 12.0 F What is the P-value of the test? Select one: a. between 0.01 and 0.025 Ob. between 0.025 and 0.05 C. between 0.05 and 0.10 Od. bigger than 0.10
In 2009 Noodles & Company introduced spaghetti and meatballs to its menu. Before putting it on the menu, it performed taste tests to determine the best-tasting spaghetti sauce. In a paired comparison, 35 tasters were asked to rate their satisfaction with two different sauces on a scale of 1 to 10, with 10 being the highest. Assume equal population variances. The mean difference in ratings was d¯d¯ = -0.25944 with a standard deviation of sd = 1.53990. Use α = 0.05. b) Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) (c) Find the critical value tcrit for α = .05. (Round your answer to 3 decimal places.) (d) Find the p-value. (Round your answer to 3 decimal places.)
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Two independent laboratories have produced drugs that provide relief to arthritis and the results is shown below. At 5% level of significant, can we conclude that the drug produced by laboratory A significantly causes a shorter period of relief (in Hours) than that of a drug produced by laboratory B? Laboratory Sample Mean Standard Deviation A 75 4.5 2.5 B 60 5.5 2.0
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 0.3 and a standard deviation of 16.4. 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.
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