Suppose the High-density lipoprotein (HDL) cholesterol levels of 20 subjects were measured before and after the...

Suppose the High-density lipoprotein (HDL) cholesterol levels of 20 subjects were measured before and after the treatment. We want to find out if, in general, the treatment will lead to improvements of health, i.e., increasing the HDL cholesterol level. The mean and standard deviation of the difference are 2.05, 2.837, respectively. We assume the differences follow normal. Use ? =0.05.

Solutions

Expert Solution

Null hypothesis

Alternative hypothesis

Sample mean for difference=2.05
Sample standard deviation for difference=2.837
Sample size=20
Degree of freedom =n-1=   19

Test statistic for paired t test is

=3.232

Test statistic value is =3.232

P value is 0.0022......................by using Excel command TDIST(3.232 , 19 , 1)

P value is 0.0022< 0.05

Therefore, we reject H0.

We have sufficient evidence at to say that, the treatment will lead to improvements of health

orchestra answered 1 year ago

Next > < Previous

Related Solutions

16. Cholesterol levels were measured before and after patients were given a drug designed to lower...

16. Cholesterol levels were measured before and after patients were given a drug designed to lower their cholesterol. Test to see if cholesterol dropped with α = 0.01. Patient 1 2 3 4 5 6 7 8 9 10 11 12 13 Before 238 240 220 246 202 222 210 233 204 229 244 220 219 After 235 241 219 235 198 208 202 211 188 201 235 211 207 a) Determine the null and alternative hypotheses for this scenario....

Low density lipoprotein (LDL) levels were measured in the serum of adults from the MM, MN,...

Low density lipoprotein (LDL) levels were measured in the serum of adults from the MM, MN, and NN blood groups. Four males and four females were measured from each blood group. Test for significant differences in LDL due to gender (factor A), blood group (factor B), and test for a significant interaction between gender and blood group. Use a 5% level of significance for each test. Gender Blood Group MM MN NN Male 111 93 96 107 102 88 ...

8. High density lipoprotein (HDL) in healthy males follows a normal distribution with a mean of...

8. High density lipoprotein (HDL) in healthy males follows a normal distribution with a mean of 50 and a standard deviation of 8. What proportion of healthy males has HDL exceeding 60? A)0.50 B)1.00 C)0.894 D)0.106

A component of cholesterol called high-density lipoprotein is known to lower the risk of coronary heart...

A component of cholesterol called high-density lipoprotein is known to lower the risk of coronary heart disease. It is believed that runners have increased HDL levels. The following data give details of an HDL study comparing male elite runners with a control group of male nonrunners. At the α=0.05, test the claim that young male elite runners have a higher population mean HDL level than young male nonrunners. sample n x̄ s elite runners 20 56 12.1 nonrunners 72 49...

10)Two types of cholesterol transport proteins, low-density lipoproteins (LDL) and high-density lipoproteins (HDL), bind to cholesterol...

10)Two types of cholesterol transport proteins, low-density lipoproteins (LDL) and high-density lipoproteins (HDL), bind to cholesterol and carry it through the bloodstream. Familial hypercholesterolemia (FH) is characterized by high cholesterol levels in the blood, which can lead to cardiovascular disease. FH is associated with a loss-of-function mutation of a gene that encodes LDL receptors in liver cells. Individuals who are heterozygous produce lower-than-normal amounts of the LDL receptors, and individuals who are homozygous for the mutant allele have no LDL...

1.) Which of the following are considered desirable levels for total cholesterol and HDL-cholesterol? a.) <220...

1.) Which of the following are considered desirable levels for total cholesterol and HDL-cholesterol? a.) <220 mg/dl, >60 mg/dl b.) <200 mg/dl, >60 mg/dl c.) <240 mg/dl, >40 mg/dl d.) <200 mg/dl, <60 mg/dl 2. Which of the following is NOT considered a component of health-related physical fitness? a.) Agility b.) Cardiorespiratory endurance c.) Muscle endurance d.) Flexibility e.) Body composition 3.) An optics check cassette is used with the Cholestech a.) to ensure that the display is readable. b.)...

Cholesterol levels are measured for 15 heart attack patients (two days after their attacks) and 27...

Cholesterol levels are measured for 15 heart attack patients (two days after their attacks) and 27 other hospital patients who did not have a heart attack. The sample of heart attack patients had a mean cholesterol level of 233.7 and standard deviation 44.9. The sample of other hospital patients had a mean cholesterol level of 206.6 and standard deviation 14.8. The degrees of freedom for the t-distribution, in this case, is df=16. The doctors leading the study think cholesterol levels...

Researchers measured the cholesterol levels in mg per 100 mL for 50 participants. The participants were...

Researchers measured the cholesterol levels in mg per 100 mL for 50 participants. The participants were randomly selected from two age groups: under 50 years, or 50+ years. 1. What is the variable of interest being measured? 2. What type of sampling method is being used here? 3. Are there any possible confounding variables, or other sources of variability? The 50 participants are asked to change their diet to measure the effect it may have on lowering cholesterol levels. The...

Cholesterol (mg/dL) was measured in the same patients before and after taking drug D. Do a...

Cholesterol (mg/dL) was measured in the same patients before and after taking drug D. Do a Wilcoxon signed-rank test for paired samples: state the null and (non-directional) alternative hypotheses, calculate (or bound) the p- value, and clearly state your conclusion for significance level ? = 0.05. The appropriate table is at the end of the quiz. Before. After 200 250 190 245 180 175 190 188 180 500 200 260 190 260 190 230 a) Why would you do...

1. Elevated levels of plasma HDL cholesterol may be associated with lowered risk of coronary heart...

1. Elevated levels of plasma HDL cholesterol may be associated with lowered risk of coronary heart disease. Several studies have suggested that vigorous exercise may result in increased levels of HDL cholesterol. To investigate this theory, researchers measured HDL concentrations (mg/dL) in middle-aged (35-66 years) marathon runners, as well as inactive men. The data are summarized below. (Assume equal population variances in the two groups.) sample size mean st. dev Inactive men 70 43.3 14.2 Marathon runners 70 52.8 14.3...

Subjects