# Lab2 - T-Test of mean difference = 0 (vs not = 0): T-Value...

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Florian Mettetal Stat252-03 Lab #2 Activity 3 Two-sample T for husband vs wife N Mean StDev SE Mean husband 24 35.7 14.6 3.0 wife 24 33.8 13.6 2.8 Difference = mu (husband) - mu (wife) Estimate for difference: 1.87 95% CI for difference: (-6.31, 10.06) T-Test of difference = 0 (vs not =): T-Value = 0.46 P-Value = 0.647 DF = 45 (a) H(0) : husband(mean) = wife(mean) H(a) : husband(mean) > wife(mean) With a Significance level of 0.05 we fail to reject the null hypothesis. This means that we cannot reject the idea that husbands and wives receive their marriage license around the same age.

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Florian Mettetal Stat252-03 Lab #2 (b) It seems pretty evident from the scatter plot that men are usually older than their wife when they get married.
Florian Mettetal Stat252-03 Lab #2 Paired T for husband - wife N Mean StDev SE Mean husband 24 35.71 14.56 2.97 wife 24 33.83 13.56 2.77 Difference 24 1.875 4.812 0.982 95% CI for mean difference: (-0.157, 3.907)
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Unformatted text preview: T-Test of mean difference = 0 (vs not = 0): T-Value = 1.91 P-Value = 0.069 (c) H(0) : husband(mean) = wife(mean) H(a) : husband(mean) &gt; wife(mean) With a significance level of 0.05, again we fail to reject the null hypothesis (d) but the P-value this time is 0.069 versus 0.647 a dramatic difference from using unpaired data. Using the Paired T we get a much more accurate portrayal of the difference and if we had used a large sample size it is likely we would have accepted the alternative hypothesis instead. (e) Husbands Age wife's age Difference in Ages Mean 35.71 33.83 1.875 SD 14.56 13.56 4.812 (f) Variable N Mean StDev SE Mean 95% CI Difference 24 1.875 4.812 0.982 (-0.157, 3.907) This interval does include the value zero, therefore could not accept the alternative hypothesis that the mean male age is greater than the mean female age. Activity 4...
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## This note was uploaded on 10/28/2008 for the course STAT 252 taught by Professor Staff during the Spring '05 term at Cal Poly.

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Lab2 - T-Test of mean difference = 0 (vs not = 0): T-Value...

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