Question

A mathematician believes there is no difference in mean income of professional athletes in different sports. The sample results of the salaries of 10 each of MLB, NBA, NFL, and NHL players are listed. Can we conclude that there is a difference in the mean salaries among the four sports? Use a 0.05 level of significance. I did the test and got a P-Value of 2.43E-4.

(Do Not Perform The Tests! Just answer the following)

a) Write the null and alternative hypothesis

b) Is it right, left, or two tailed?

c) Is it z, t, or x square or f distribution?

d) What calculator function is used?

e) What decision would you make based on the P-value that resulted when I did the test? Use a level of significance of 5%.

f) What would your answer be to the question asked in the scenario?

Answer 1

Sol:

a) Write the null and alternative hypothesis

Null hypothesis:

Ho:

alternative hypothesis

Ha: atleast one of the group means are different.

b) Is it right, left, or two tailed?

its a two taled test

c) Is it z, t, or x square or f distribution?

Its one way ANOVA test.

F distribution.

d) What calculator function is used?

aov in R

in excel Data >data analysis >singer factor ANOVA

e) What decision would you make based on the P-value that resulted when I did the test? Use a level of significance of 5%.

p=2.43E-4.

p<0.05

Reject Ho.

Accept alternative hypothesis.

f) What would your answer be to the question asked in the scenario?

From test we conclude that

there is no sufficient statistical evidence at 5% to conclude that

no difference in mean income of professional athletes in different sports.

MEANING

there is difference in mean income of professional athletes in different sports.