# Question

A physician was interested in examining the relationship between the work performed by individuals in an exercise tolerance test and the excess weight (as determined by standard weight– height tables) they carried. To do this, a random sample of 28 healthy adult females, ranging in age from 25 to 40, was selected from the community clinic during routine visits for physical examinations. The selection process was restricted so that seven persons were selected from each of the following weight classifications:

Normal weight (less than 10% underweight)

1%– 10% overweight

11%– 20% overweight

More than 20% overweight

As part of the physical examination, each person was required to exercise on a bicycle ergometer until the onset of fatigue. The time to fatigue (in minutes) was recorded for each person. The data are given next.

Classification Fatigue Time

Normal………………….. 25, 28, 19, 27, 23, 30, 35

1%– 10% overweight…… 24, 26, 18, 16, 14, 12, 17

11%– 20% overweight…. 15, 18, 17, 25, 12, 10, 23

More than 20% overweight… 10, 9, 18, 14, 6, 4, 15

a. Identify the experimental design and write an appropriate statistical model.

b. Use α = .05 and perform an analysis of variance.

Normal weight (less than 10% underweight)

1%– 10% overweight

11%– 20% overweight

More than 20% overweight

As part of the physical examination, each person was required to exercise on a bicycle ergometer until the onset of fatigue. The time to fatigue (in minutes) was recorded for each person. The data are given next.

Classification Fatigue Time

Normal………………….. 25, 28, 19, 27, 23, 30, 35

1%– 10% overweight…… 24, 26, 18, 16, 14, 12, 17

11%– 20% overweight…. 15, 18, 17, 25, 12, 10, 23

More than 20% overweight… 10, 9, 18, 14, 6, 4, 15

a. Identify the experimental design and write an appropriate statistical model.

b. Use α = .05 and perform an analysis of variance.

## Answer to relevant Questions

Refer to Exercise 14.1. After running the pilot study, the researchers conduct a study involving 100 students. Twenty- five students were randomly assigned to each of the four instructional conditions. The data are given ...Refer to Exercise 14.33. Obtain an analysis of variance for both dependent variables (i. e., y1 = mg/mL of active ingredient and y2 = pH). Draw conclusions about the stability of these 2-mL vials based on these analyses. Use ...Refer to Exercise 14.38. Verify that there are no major violations in the conditions necessary to conduct the tests in the AOV table. In exercise Refer to Exercise 15.10. a. Do the model conditions appear to be satisfied for this set of data? Explain. b. If the model conditions appear to be violated, suggest an alternative method of analysis. In exercise Refer to Exercise 15.1. The study was conducted and the yields in pounds of blueberries over a growing season are given in the following table. a. Use residual plots to determine if there appear to be a violations in the ...Post your question

0