# statistics questions

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#### Question 1(1 point)

Provide an appropriate response.

The analysis of variance is an inferential method that is used to test the equality of

#### Question 2(1 point)

Provide an appropriate response.

How, in general, is the requirement of equal population variances to allow the use of analysis of variance method verified?

#### Question 3(1 point)

Which of the following are assumptions of the analysis of variance F test for comparing population means of several groups?

#### Question 4(1 point)

The F test statistic in a one
way ANOVA is

#### Question 5(1 point)

The P
value for an analysis of variance F test statistic is which probability from the F distribution?

#### Question 6(1 point)

Specify the null and alternative hypotheses to which the F test statistic refers in a one
way analysis of variance.

#### Question 7(1 point)

State the null hypothesis to test for independence.

A medical insurance provider is attempting to show the benefits of managed care to an insurance company. The provider believes that certain types of doctors are more cost
effective than others. One theory is that Certification Level is an important factor in measuring the costeffectiveness of physicians. To investigate this, the provider obtained independent random samples of 20 physicians from each of the three certification levels Board certified (C); Uncertified, board eligible (E); and Uncertified, board ineligible (I) and recorded the total permember, permonth charges for each (a total of 20 physicians). In order to compare the mean charges for the three groups, the data will be subjected to an analysis of variance. Write the null hypothesis test.

#### Question 8(1 point)

Provide an appropriate response.

In a one
factor ANOVA having three group levels with five observations in each group, the between group degrees of freedom is equal to

#### Question 9(1 point)

Provide an appropriate response.

A medical researcher wishes to try three different techniques to lower cholesterol levels of patients with high cholesterol levels. The subjects are randomly selected and assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of six weeks, each subject’s cholesterol level is recorded. Find the critical value F
value to test the hypothesis that there is no difference among the means. Use α = 0.05.

#### Question 10(1 point)

SaveSaveSaveSaveSaveSaveSaveSaveSaveSave

Provide an appropriate response.

An industrial psychologist is investigating the effects of work environment on employee attitudes. A group of 20 recently hired sales trainees were randomly assigned to one of four different “home rooms”
five trainees per room. Each room is identical except for wall color. The four colors used were light green, light blue, gray and red. The psychologist wants to know whether room color has an effect on attitude, and, if so, wants to compare the mean attitudes of the trainees assigned to the four room colors. At the end of the training program, the attitude of each trainee was measured on a 60pt. scale (the lower the score, the poorer the attitude). The data was subjected to a oneway analysis of variance. At α = 0.05, what would be the best interpretation?
ONEWAY ANOVA FOR ATTITUDE BY COLOR

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