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# A random sample of 18 women resulted in blood pressure levels with a standard deviation of 23.1 mm Hg?

A random sample of 18 women resulted in blood pressure levels with a standard deviation of 23.1 mm Hg. A random sample of 22men resulted in blood pressure levels with a standard deviation of 21.2 mm Hg. Use a 0.05 significance level to test the claim that blood pressure levels for women have a larger variance than those for men.

### 1 Answer

- Anonymous1 decade agoFavorite Answer
Variance women= varw =23.1^2=533.61

Variance men= varm =21.2^2=449.44

1) Ho: varw > varm

Ha: varw <= varm

2) alpha=0.05 dfn= n2-1=22-1=21 dfd=n1-1=18-1 = 17

Hence from tables Fcritical=2.22 <-approx, interpolation used

3)

Test Statistic: V.R.=Variance Ratio= varm/varw=449.44/533.61=0.842

4) Since V.R<Fcritical namely, 0.842<2.22 accept Ho.

Therefore at a significance level of 5% that data indicates that the variances are statistically the same.

Hope this Helps

Source(s): Consulted a statistics text book- Login to reply the answers