1.) In each problem, determine what analysis would you do on each problem (ie, o
ID: 3228406 • Letter: 1
Question
1.)In each problem, determine what analysis would you do on each problem (ie, one-sample t-test, one-sample t-interval, proportion test, proportion interval, two-sample independent t-test, 2-sample independent interval, paired test, or paired interval)? (DO NOT DO ANY ANAYLSIS OF THE PROBLEMS.)
a.)Although there are many treatments for bulimia nervosa, some subjects fail to benefit from treatment. In a study to determine which factors predict who will benefit from treatment, an article in the British Journal of Clinical Psychology indicates that self-esteem was one of these important predictors. So the researchers measured self-esteem scores prior to treatment and at post treatment to see if treatment improves self-esteem scores. Do the data show that the post treatment score is higher than the pre-treatment score?
Paired test because prior treatment and at post treatment were compared.
One-sample t-test the sample mean is compared
b.)During an angiogram, heart problems can be examined via a small tube (catheter) threaded into the heart from a vein in the patient’s leg. It is important that the company who manufactures the catheter maintain a catheter diameter of 2.00 mm. Each day, a quality control personnel makes several measurements to test that the mean is not 2.00. If the mean is not 2.00, the will stop the manufacturing process until the problem is corrected. Estimate the mean diameter of the catheter.
c.)Suppose that 10% of the fields in a given agriculture are infested with the sweet potato whitefly. One hundred fields in this area are randomly selected, and 25 are found to be infested whitefly. Does the data indicate that the proportion of infested fields is greater than expected?
d.)An accounting firm is trying to decide between IT training conducted in-house and the use of a third party consultants. To get some preliminary cost data, each type of training was implemented at two of the firm’s offices located in different cities. They measured the annual training cost per employee at each location. Estimate the difference in cost per employee of the two locations.
A research group was looking to see if the proportion of students who qualify for free or reduced lunch at a school in Phoenix is different from the proportion of students who qualify for free or reduced lunch at a school in New York City. Data is collected at both locations. Do the data provide evidence that the proportion of students on free or reduced lunch in Phoenix is different than the proportion of students on free or reduced lunch in New York City?
Explanation / Answer
a) a.)Although there are many treatments for bulimia nervosa, some subjects fail to benefit from treatment. In a study to determine which factors predict who will benefit from treatment, an article in the British Journal of Clinical Psychology indicates that self-esteem was one of these important predictors. So the researchers measured self-esteem scores prior to treatment and at post treatment to see if treatment improves self-esteem scores. Do the data show that the post treatment score is higher than the pre-treatment score?
Paired test because prior treatment and at post treatment were compared.
b.)During an angiogram, heart problems can be examined via a small tube (catheter) threaded into the heart from a vein in the patient’s leg. It is important that the company who manufactures the catheter maintain a catheter diameter of 2.00 mm. Each day, a quality control personnel makes several measurements to test that the mean is not 2.00. If the mean is not 2.00, the will stop the manufacturing process until the problem is corrected. Estimate the mean diameter of the catheter.
One sample t test
c.)Suppose that 10% of the fields in a given agriculture are infested with the sweet potato whitefly. One hundred fields in this area are randomly selected, and 25 are found to be infested whitefly. Does the data indicate that the proportion of infested fields is greater than expected?
Proportion test
d) d.)An accounting firm is trying to decide between IT training conducted in-house and the use of a third party consultants. To get some preliminary cost data, each type of training was implemented at two of the firm’s offices located in different cities. They measured the annual training cost per employee at each location. Estimate the difference in cost per employee of the two locations.
two-sample independent t-test,
A research group was looking to see if the proportion of students who qualify for free or reduced lunch at a school in Phoenix is different from the proportion of students who qualify for free or reduced lunch at a school in New York City. Data is collected at both locations. Do the data provide evidence that the proportion of students on free or reduced lunch in Phoenix is different than the proportion of students on free or reduced lunch in New York City?
proportion test
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