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True or False Assume that accurate confidence intervals based on error bars are computed. If two...

True or False
Assume that accurate confidence intervals based on error bars are computed. If two error bars do not overlap, it is reasonable to reject the hypothesis of equal means.

Math   Statistics-And-Probability   
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Answer #1

Answer :

False

because, in hypothesis testing

difference between the two means may be statistically significant.

difference between the two means may or may not be statistically significant.

i.e

Verses

Useful rule of thumb gives :

If two 95% CI error bars do not overlap, and the sample sizes are nearly equal, the difference is statistically significant with a P value much less than 0.05

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