STATISTICS

# 8 ho rho 0 no correlation ha rho 0 is positive

• Test Prep
• 29

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8. Ho: Rho = 0 (no correlation) Ha: Rho > 0 (is positive correlation) CLAIM Assumptions: Two quantitative ordered pair data sets Random N =40 > 30 Histogram of residuals was nearly normal Histogram centered close to zero Residual plot showed an even spread pattern One possible outlier. Do not think it is influential though because the r value was still strong (close to 1) Data did have a linear trend (r =0.8) P-value < 0.0001 Unlikely to happen by random chance Pvalue < sig level Reject Ho There is sig sample evidence to support the claim that there is positive correlation between the weight and BMI of men. 9. Ho: mu1 = mu2 = mu3 Ha: at least one is not equal (CLAIM) Quantitative data Random

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n>30 or nearly normal similar variances Groups are supposed to be independent (fails this one) F test stat = 4.7 (variance between groups is sig higher than the variance within groups) Pvalue = 0.012 (unlikely to happen by random chance) Reject Ho because P-value < sig level If this problem had met assumptions, then we would have sig evidence to support the claim that the average height of daughters, mom and grandmothers are different.
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• Fall '17
• Statistics, Statistical hypothesis testing, significant sample evidence

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