A special diet is intended to reduce the cholesterol of patients at risk of heart disease. If the diet is effective, the target is to have the average cholesterol of this group be below 200. After six months of the diet, SRS of 15 patients at risk for heart disease had an average cholesterol level of 192 with a standard deviation of 21. At 5% significance level, determine if there is sufficient evidence to claim that the diet is effective in meeting the target.

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 23.1. 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.

Portions of prepared luncheon meats should have pH values with a mean of 5.6 and standard deviation of 1.2. The usual quality control procedure is to ran- domly sample each consignment of meat by testing the pH value of 36 portions. The consignment is rejected if the pH value of the sample mean exceeds 6.0. What is the probability of a consignment being rejected?

Individual scores for practices towards COFLU-20 are found to be normally distributed with a mean of 3 and a standard deviation of 1.5 over the entire population. The Ministry of Health wishes to use this information to identify individuals whose score on practices towards COFLU20 is in the lower 75%, in order to give them relevant information on the best practices towards COFLU-20. You are asked to assist in calculating the score that the Ministry of Health should use to decide whether an individual should be given the relevant information?

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 0.9   and a standard deviation of 2.33 . 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?     A. Upper H 0 ​: mu greater than0   ​mg/dL Upper H 1 ​: mu less than0   ​mg/dL   B. Upper H 0 ​: mu equals0   ​mg/dL Upper H 1 ​: mu less than0   ​mg/dL   C. Upper H 0 ​: mu…

Total blood volume (in ml) per body weight is important in medical research. For healthy adults, the red blood cell volume mean is about 34 ml/kg. Red blood cell that is too low or too high can indicate a medical problem. Suppose that Roger has 20 blood tests and the mean is 35.4 ml/kg. Suppose that red blood cell volume follows normal distribution with standard deviation 2.34 ml/kg. With 5% significance level, test that the mean blood cell volume is different from 28ml/kg. Which test to use? a.) None of the answer choices b.) T-test for the Mean c.) T-test for Proportion   d.) Z-test for the Mean   e.) Z-test for Proportion

The Merck Manual states that, for healthy adults, the mean number of milliliters of oxygen per deciliter of blood is 19.0. A company that sells vitamins claims that its multivitamin complex will increase the oxygen capacity of the blood. A random sample of 28 adults took the vitamin for six months. After blood tests, it was found that the sample mean was 20.7 ml of oxygen per deciliter of blood with a standard deviation of 6.7ml. a. At the 0.05 level, test the claim that the average oxygen capacity has increased. b. How much power do you have to detect a 3ml difference (from the null) in the average amount of oxygen in the blood? c. What sample size would you need to have 90% power to detect this observed difference?

In a sample of 87 people who have had strokes, the average cholesterol level was 258 with a standard deviation of 41.6. In order to test the hypothesis (at the 10% level of significance) that the average cholesterol level of people who have had strokes was at least 240, what is the critical value?

Given that the researcher wants to be sure the mean difference in the change in hemoglobin levels has a margin of error no more than 0.2 g/dL and the difference in the stand deviation between the mean hemoglobin levels for the two forms of iron supplements used to treat anemia is 1.2 g/dL, what is the desired number of recruits for the study, assuming the individuals will participate in a crossover trial, if the study’s attrition rate is expected to be .25? Group of answer choices n= 139 n= 186 n= 554 n= 55,320