Question

In: Statistics and Probability

Researchers studying the effect of a dietary drug used a sample of 86 patients and found...

Researchers studying the effect of a dietary drug used a sample of 86 patients and found a 95% confidence interval for the mean weight loss, in pounds, to be (2.3, 5.6).

We are 95% certain that the mean weight loss among the participants in this study was between 2.3 and 5.6 pounds.

We are confident that 95% of the participants administered the drug lost between 2.3 and 5.6 pounds.

We are 95% sure that the true mean weight loss for participants administered the drug is in the interval from 2.3 and 5.6 pounds.

95% of confidence intervals constructed in this way will capture the true mean weight loss for the participants who were administered the drug.

Solutions

Expert Solution

I had understood the question as:

Researchers studying the effect of a dietary drug used a sample of 86 patients and found a 95% confidence interval for the mean weight loss, in pounds, to be (2.3, 5.6).

a). We are 95% certain that the mean weight loss among the participants in this study was between 2.3 and 5.6 pounds.

b). We are confident that 95% of the participants administered the drug lost between 2.3 and 5.6 pounds.

c). We are 95% sure that the true mean weight loss for participants administered the drug is in the interval from 2.3 and 5.6 pounds.

d). 95% of confidence intervals constructed in this way will capture the true mean weight loss for the participants who were administered the drug.

And we to give the correct option.

The correct answer for this question is option d). 95% of confidence intervals constructed in this way will capture the true mean weight loss for the participants who were administered the drug. since the correct interpreattion for a 95% confidence interval is

"If we continue to draw many samples of size 86(in the question), and to calculate a 95% confidence interval from each, in the long run, 95% of such intervals would cover the would cover the population mean weight loss(2.3,5.6).

orchestra answered 1 year ago
Next > < Previous

Related Solutions

1) A drug company is studying the effect of a new drug. In clinical trials, the...
1) A drug company is studying the effect of a new drug. In clinical trials, the researcher used a one-tailed test. By using a one-tailed test instead of a two-tailed test, the researcher has A) Expanded the critical region. B) Changed the critical value. C) Decreased the probability of rejecting the H0. 2) In a hypothesis test, when the obtained statistical value is larger than the critical value A) The researcher rejects the null hypothesis. B) The researcher fails to...
In a random sample of 820 adults in the U.S.A., it was found that 86 of...
In a random sample of 820 adults in the U.S.A., it was found that 86 of those had a pinworm infestation. You want to find the 90% confidence interval for the proportion of all U.S. adults with pinworm. (a) What is the point estimate for the proportion of all U.S. adults with pinworm? Round your answer to 3 decimal places. (b) What is the critical value of z (denoted zα/2) for a 90% confidence interval? Use the value from the...
In a randomized comparative experiment on the effect of dietary calcium on blood pressure, researchers divided...
In a randomized comparative experiment on the effect of dietary calcium on blood pressure, researchers divided 60 healthy white males at random into two groups. One group received calcium; the other, a placebo. At the beginning of the study, the researchers measured many variables on the subjects. The paper reporting the study gives x⎯⎯⎯=x¯=117.8 and s = 9.2 for the seated systolic blood pressure of the 30 members of the placebo group. Give a 96% confidence interval for the mean...
A particular drug is used to treat leukemia. A random sample of 30 patients had remission...
A particular drug is used to treat leukemia. A random sample of 30 patients had remission times listed below in weeks. Assume that remission times are normally distributed. 10 7 32 23 22 6 16 34 32 25 11 17 16 12 23 20 9 6 17 35 6 13 9 6 10 24 11 18 19 16 At a 0.05 level of significance, does the data indicate that the standard deviation of remission time of people using this drug...
Tasmanian researchers conducted a case –control study to investigate the effect of dietary fat intake on...
Tasmanian researchers conducted a case –control study to investigate the effect of dietary fat intake on skin cancer. They hypothesised that people whose dietary fat intake is low will be more susceptible to skin cancer. The study compared 500 cases of melanoma with 500 controls who were randomly selected from the state’s electoral roll. The researchers categorised the dietary fat intake into three categories High, Moderate and Low. They found that among skin cancer patients 150 were classified at the...
Tasmanian researchers conducted a case –control study to investigate the effect of dietary fat intake on...
Tasmanian researchers conducted a case –control study to investigate the effect of dietary fat intake on skin cancer. They hypothesised that people whose dietary fat intake is low will be more susceptible to skin cancer. The study compared 500 cases of melanoma with 500 controls who were randomly selected from the state’s electoral roll. The researchers categorised the dietary fat intake into three categories High, Moderate and Low. They found that among skin cancer patients 150 were classified at the...
Researchers studying the effect of diet on growth would like to know if a vegetarian diet...
Researchers studying the effect of diet on growth would like to know if a vegetarian diet affects the height of a child. Twelve students are randomly selected that are all 6-years old. The average height of these kids is 42.5 inches with a standard deviation of 3.8 inches. The average height of all 6-year old kids is found to be 45.75 inches. Conduct a hypothesis test to determine if there is overwhelming evidence at alpha = .05 that 6-year old...
A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4244 patients treated with the drug
A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4244 patients treated with the drug, 154 developed the adverse reaction of nausea. Construct a 99% confidence interval for the proportion of adverse reactions.a) Find the best point estimate of the population proportion p.nothing(Round to three decimal places as needed.)b) Identify the value of the margin of error E.E=nothing(Round to three decimal places as needed.)c) Construct the confidence interval.nothing<p<nothing(Round to three decimal places as...
Researchers sought to examine the effect of various types of music on agitation levels in patients...
Researchers sought to examine the effect of various types of music on agitation levels in patients who are in the early stage of Alzheimer's disease. Patients were selected to participate in the study based on their stage of Alzheimer's disease. Three forms of music were tested: Easy listening, Mozart, and Lady Gaga. While listening to music, agitation levels were recorded for the patients with a high score indicating a higher level of agitation. Scores are recorded below. Mozart                        Easy Listening        ...
Researchers were studying the effects of aerobic exercise on diastolic blood pressure in patients newly diagnosed...
Researchers were studying the effects of aerobic exercise on diastolic blood pressure in patients newly diagnosed with heart disease. The goal of this study is to identify changes in blood pressure in each patient after carrying out a new weekly aerobic exercise routine (given to each patient) for 6 months. Researchers measured the diastolic blood pressure of each patient at the beginning of the study (baseline) and 6 months after. The results of the study are listed in Table 2....
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT