A What's Wrong with Expressing a Null Hypothesis As \mathrm{H}_{0} $\mathrm{H}_{0} : \overline{x}_A = \overline{x}_B$

a. What's wrong with expressing a null hypothesis as $\mathrm{H}_{0} : \overline{x}_A = \overline{x}_B$ ?
b. Suppose you take a random sample of 1000 Californians and an independent random sample of 1000 Pennsylvanians and measure the IQ of each person. Suppose that a 99% confidence interval for the difference in population means turns out to be $(-0.62,1.94)$ . Are the sample results statistically significant at the $alpha=.01$ level? Explain briefly.

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a. The expression given presents sample ...

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