Answer the following questions showing all work. Full credit will not be given t

Question

Answer the following questions showing all work. Full credit will not be given to answers without work shown. If you use Minitab Express include the appropriate output (copy + paste) along with an explanation. Output without explanation will not receive full credit. Round all answers to 3 decimal places. If you have any questions, post them to the course discussion board.

2. In Spring 2016 a representative sample of World Campus STAT 200 students were surveyed and asked if they prefer to watch curling, figure skating, or ice hockey on television in the winter. They were also asked how many hours per week they typically exercise. Use the information given to answer the following questions. [30 points]

A. Fill in all of the blank cells in the ANOVA source table above.

B. Use the five-step hypothesis testing procedure to determine if there is evidence that the mean number of hours exercised per week is not equal for students who prefer these three winter sports.

Step 1:

Step 2:

Step 3:

Step 4:

Step 5:

Means Winter Sport Curling Figure skating 1784.1601 ce hockey 3004.3217 Pooled StDev = 4.97432 N Mean StDev 95% Cl 41 3.8049 4.3944 (2.2787, 5.3311) 5.9770 (3.4276, 4.8926) 4.3555 (3.7575, 4.8859)

Explanation / Answer

Ans:

Given that

n=41+178+300=519

k=3

df for between groups=k-1=3-1=2

df for within groups=n-k=519-3=516

total df=n-1=519-1=518

MS(for between groups)=SS/(k-1)=10.8/2=5.4

MS(for within groups)=12767.8/516=24.7

F=5.4/24.7=0.218

p-value=Fdist(0.218,2,516)=0.8042

As,p-value>0.05,we fail to reject null hypothesis i.e. mean number of hours excersized per week is equal for students who prefer these three inter sports.

We do not have sufficient evidence to support that mean number of hours for three winter sports are not equal.

SS df MS F p-value Between groups 10.8 2 5.4 0.218 0.8042 Within groups 12767.8 516 24.7 Total 12778.6 518 30.1

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