Statistics and Hypothesis Testing
Statistics and Hypothesis Testing
Statistics and Hypothesis Testing
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Example: 99 percent CI<br />
The 99-percent confidence interval is<br />
Y − 2.58SE(Y ) ≤ µ Y ≤ Y + 2.58SE(Y )<br />
22.64 − 2.58(1.28) ≤ µ Y ≤ 22.64 + 2.58(1.28)<br />
22.64 − 3.30 ≤ µ Y ≤ 22.64 + 3.30<br />
19.34 ≤ µ Y ≤ 25.94<br />
It is 99 percent likely that the mean falls between $19.34 <strong>and</strong><br />
$25.94 per hour. (Note that this range does include $20, a null<br />
hypothesis with a p of 3.9 percent.)