Business Statistics for Managerial Decision. Comparing two Population Means. Comparing Two means. How do small businesses that fail differ from those that succeed?
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Comparing two Population Means
Population Variable Mean Standard deviation
1 x11 1
2 x2 2 2
Population Sample size mean standard deviation
1 n1 s1
2 n2 s2
has the standard Normal (0, 1) sampling distribution.
Group n s
Treatment 21 51.48 11.01
Control 23 41.52 17.15
H0: 1= 2
Ha: 1 > 2
Here t* is the value for the t(n1+n2 -2) density curve with area C between -t* and t*.
and use P-values from the t(n1+ n2 - 2) distribution.
Group Firm n s
1 Health 68 1.7256 .6393
2 Failed 33 0.8236 .4811