Question

A new drug to treat high cholesterol is being tested by pharmaceutical company. The cholesterol levels...

A new drug to treat high cholesterol is being tested by pharmaceutical company. The cholesterol levels for 18 patients were recorded before administering the drug and after. The average difference in cholesterol levels (after - before) was 4.19 mg/dL with a standard deviation of 8.055 mg/dL. Using this information, the calculated 90% confidence paired-t interval is (0.887, 7.493). Which of the following is the best interpretation of this interval?

Question 8 options:

1)

The proportion of all patients that had a difference in cholesterol levels between those on the drug and those who are not is 90%.

2)

We are 90% confident that the average difference in the cholesterol levels of the patients sampled is between 0.887 and 7.493.

3)

We are certain the average difference in cholesterol levels between those who would take the drug and those who would not is between 0.887 and 7.493.

4)

We are 90% confident that the difference between the average cholesterol level for those on the drug and the average cholesterol level for those not on the drug is between 0.887 and 7.493.

5)

We are 90% confident that the average difference in cholesterol levels between those who would take the drug and those who would not is between 0.887 and 7.493.

A medical researcher wants to determine if the average hospital stay after a certain procedure is less than 14.97 days. The hypotheses for this scenario are as follows: Null Hypothesis: μ ≥ 14.97, Alternative Hypothesis: μ < 14.97. If the researcher randomly samples 26 patients that underwent the procedure and determines their average hospital stay was 15.68 days with a standard deviation of 7.183 days, what is the test statistic and p-value of this test?

Question 9 options:

1)

Test Statistic: -0.504, P-Value: 0.6907

2)

Test Statistic: 0.504, P-Value: 0.6907

3)

Test Statistic: 0.504, P-Value: 0.3093

4)

Test Statistic: -0.504, P-Value: 0.3093

5)

Test Statistic: 0.504, P-Value: 1.3814

Homework Answers

Answer #1

Question 1

We are 90% confident that the average difference in cholesterol levels between those who would take the drug and those who would not is between 0.887 and 7.493.

Question 2

Test Statistic :-


t = 0.504


Test Criteria :-
Reject null hypothesis if

= 0.504 > - 2.485
Result :- Fail to reject null hypothesis


Decision based on P value
P - value = P ( t > 0.504 ) = 0.6907
Reject null hypothesis if P value < level of significance
P - value = 0.6907 > 0.01 ,hence we fail to reject null hypothesis
Conclusion :- Fail to reject null hypothesis

Test Statistic: 0.504, P-Value: 0.6907

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A new drug to lower total cholesterol is being tested. A study is designed to evaluate...
A new drug to lower total cholesterol is being tested. A study is designed to evaluate the efficacy of the drug. Sixteen patients agree to participate in the study and each is asked to take the new drug for 4 weeks. Before starting the treatment, each patient's total cholesterol level is measured. After taking the drug for 4 weeks, each patient's total cholesterol level is measured again. The 99% confidence interval for the change in total cholesterol (After less Before)...
A pharmaceutical company is testing a new drug to increase memorization ability. It takes a sample...
A pharmaceutical company is testing a new drug to increase memorization ability. It takes a sample of individuals and splits them randomly into two groups. One group is administered the drug, and the other is given a placebo. After the drug regimen is completed, all members of the study are given a test for memorization ability with higher scores representing a better ability to memorize. You are presented a 90% confidence interval for the difference in population mean scores (with...
A group of eight individuals with high cholesterol levels were given a new drug that was...
A group of eight individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. Cholesterol levels, in mg/dL, were measured before and after treatment for each individual, with the following results: Subject Before After 1 283 215 2 299 206 3 274 179 4 284 212 5 240 178 6 275 212 7 293 192 8 277 196 Can you conclude that the reduction in mean cholesterol level after treatment is greater than...
Cholesterol levels are measured for 28 heart attack patients (2 days after their attacks) and 30...
Cholesterol levels are measured for 28 heart attack patients (2 days after their attacks) and 30 other hospital patients who did not have a heart attack. It is thought that cholesterol levels will be higher for the heart attack patients, so a one-sided alternative hypothesis is used. For the 28 heart attack patients, the mean cholesterol level was 253.9 with a standard deviation of 47.7. For the 30 other hospital patients who did not have a heart attack, the mean...
A group of eight individuals with high cholesterol levels were given a new drug that was...
A group of eight individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. Cholesterol levels, in mg/dL, were measured before and after treatment for each individual, with the following results: Subject Before After 1 283 215 2 299 206 3 274 179 4 284 212 5 240 178 6 275 212 7 293 192 8 277 196 Can you conclude that the mean cholesterol level after treatment is less than the mean...
A pharmaceutical company introduced a new drug that would reduce cholesterol levels. A researcher selected 10...
A pharmaceutical company introduced a new drug that would reduce cholesterol levels. A researcher selected 10 cholesterol patients and tested them for their cholesterol level. The subjects were then placed on the new drug for a period of 6 months, and the cholesterol level reading was taken again. Both the results are given below. Assume the samples are random and dependent, and the populations are normally distributed. Use 0.01 level of significance and test whether there is evidence of reduced...
The distribution of blood cholesterol level in the population of all male patients tested in a...
The distribution of blood cholesterol level in the population of all male patients tested in a large hospital over a 10-year period is close to Normal with mean 224 milligrams per deciliter (mg/dL) and standard deviation σ = 42 mg/dL. You measure the blood cholesterol of 14 male patients 20--34 years of age. The mean level is x = 195 mg/dL. Is the mean μ for all young men aged 20--34 who have been patients in the hospital different than...
High levels of cholesterol in the blood are associated with higher risk of heart attacks. Will...
High levels of cholesterol in the blood are associated with higher risk of heart attacks. Will using a drug to lower blood cholesterol reduce heart attacks? The Helsinki Heart Study looked at this question. Middle-aged men were assigned at random to one of two treatments: 2051 men took the drug gemfibrozil to reduce their blood cholesterol levels, and a control group of 2030 men took a placebo. During the next five years, 65 men in the gemfibrozil group and 84...
A pharmaceutical company needs to know if its new cholesterol drug, Praxor, is effective at lowering...
A pharmaceutical company needs to know if its new cholesterol drug, Praxor, is effective at lowering cholesterol levels. It believes that people who take Praxor will average a greater decrease in cholesterol level than people taking a placebo. After the experiment is completed, the researchers find that the 25 participants in the treatment group lowered their cholesterol levels by a mean of 23.5 points with a standard deviation of 5.8 points. The 25 participants in the control group lowered their...
Suppose that a pharmaceutical company is interested in testing their new cholesterol medication and recruited 11...
Suppose that a pharmaceutical company is interested in testing their new cholesterol medication and recruited 11 sets of identical twins with high blood pressures. For each twin, one was given the new drug and the other was given the old drug, then the reduction in LDL cholesterol level (unit: mg/dL) was measured after 6 months. Summary statistics of the amount of reduction are shown below. NOTE: Not all outputs given above are useful      n           x           s      New Drug    11    42...