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<p>Can some please help me with this problem its due tonight.</p> <p>The numbers

ID: 2959100 • Letter: #

Question

<p>Can some please help me with this problem its due tonight.</p>
<p>The numbers of faculty at 32 randomly selected state controlled colleges and universities with enrollment under 12,000 students are shown below. Use these data to estimate the mean number of faculty at all state controlled colleges and universities with enrollment under 12,000 with 92% confidence. Assume &#963;=165.1</p>
<p>211, 384, 396, 211, 224, 337, 395, 121, 356, 621, 367, 408, 515, 280, 289, 180, 431, 176, 318, 836, 203, 374, 224, 121, 412, 134, 539, 471, 638, 525, 159,324</p>

Explanation / Answer

Given n=32, xbar=349.375, s=167.57
a=0.08, Z(0.04)=1.75 (check standard normal table)

So 92% CI is
xbar ± Z*s/n

--> 349.375 ± 1.75*167.57/sqrt(32)

--> ( 297.5357, 401.2143)

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