Question

1) Dr. Dumbledore decides to use these data to test whether there is a significant difference in mean distance walked between men with and without beards. What is the appropriate statistical test for him to use?

2) Carefully write down the null and alternative hypotheses for Dumbledore's test, being sure to define any symbols you use. (You may use words like "mu" in place of the Greek letter.)

3) Dr. Dumbledore conducts the test and (correctly) obtains a test statistic value of 0.5625. Either by computing a p-value or finding a critical value, determine whether you will reject or fail to reject the null hypothesis at $LaTeX: \alpha$α = 0.05. (Note: You must show your work enough to justify your answer for full credit; simply writing "reject" or "fail to reject" is not enough.)

4) Based on your answer to the previous problem, write one sentence summarizing the result of the test in the context of the problem.

Please type

The six-minute walk test is a measure of exercise endurance and overall physical health in older adults and those with chronic disease. In the test, the participant walks along a marked course on a flat surface for six minutes and the total distance walked is recorded Professor Dumbledore studied the six-minute walk times of men with beards and men without beards Summary statistics for his sample are below . tabstat distance, by (group) stats (n mean sd min max) Summary for variables: distance by categories of: group min group mean max 456 391 709 664 no beard beard 11 534.818279.04912 12 513.9167 97.18722 Total 23 523.913 87.61845 391 709

Answer 1

I HOPE ITS HELPFUL TO YOU IF YOU HAVE ANY DOUBTS PLS COMMENTS BELOW..I WILL BE THERE TO HELP YOU ...ALL THE BEST

AS FOR GIVEN DATA..

x- Dne) rom gPven out puy ohere ith beard men s Oithout beard men Test Staristc 一 -20-X2 고2 513. 9167-Sy.3182 97-187(19 ou9 1 2 20, 901s 36.81 28 5678 p-vaule uohore degre e, of me edem P-value ? Pl T207299 20:s6787 01-T-20 . 729 a % Here p-value oe Peu to rejed Ho a Conducor - here nsufficient euldence to refect Ho at 0 05 t may hor be concluole that ther e e signi cant artfere In mean ditance oalked bekoeen roen eth A tuthouf_ beards