SOLUTION: Billie wishes to test the hypothesis that overweight individuals tend to eat faster than normal-weight individuals. To test this hypothesis, she has two assistants sit in a McDona

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Question 632879: Billie wishes to test the hypothesis that overweight individuals tend to eat faster than normal-weight individuals. To test this hypothesis, she has two assistants sit in a McDonald’s restaurant and identify individuals who order the Big Mac special for lunch. The Big Mackers as they become known are then classified by the assistants as overweight, normal weight, or neither overweight nor normal weight. The assistants identify 10 overweight and 10 normal weight Big Mackers. The assistants record the amount of time it takes them to eight the Big Mac special.
1.0 585.0
1.0 540.0
1.0 660.0
1.0 571.0
1.0 584.0
1.0 653.0
1.0 574.0
1.0 569.0
1.0 619.0
1.0 535.0
2.0 697.0
2.0 782.0
2.0 587.0
2.0 675.0
2.0 635.0
2.0 672.0
2.0 606.0
2.0 789.0
2.0 806.0
2.0 600.0
a) Compute an independent-samples t-test on these data. Report the t-value and the p values. Where the results significant? (Do the same thing you did for the t-test above, only this type when you go to compare means, click on independent samples t-test. When you enter group variable into grouping variable area, it will ask you to define the variables. Click define groups and place the number 1 into 1 and the number 2 into 2).
b) What is the difference between the mean of the two groups? What is the difference is standard deviation?
c) What is the null and alternative hypothesis? Do the data results lead you to reject or fail to reject the null hypothesis?
d) What do the results tell you?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

H%5Bo%5D: m%5B1%5D+-+m%5B2%5D+=+0

H%5Ba%5D: m%5B1%5D+-+m%5B2%5D+%3C+0

t-Test: Two-Sample Assuming Unequal Variances			

			

	1	2	

Mean	589	684.9	

Variance	1816	6760.988889	

SD	42.61455151	82.22523268	

Observations	10	10	

Hypothesized Mean Difference	0		

df	14		

t Stat	                -3.274546662		p = .0005

P(T<=t) one-tail	0.002767826		

t Critical one-tail	1.76130925		

P(T<=t) two-tail	0.005535651		

t Critical two-tail	2.144788596		p= .016

   .0005 < .016 , reject null hypothesis

Group 1 eats faster than group 2