anonymous
  • anonymous
Normal distribution with random sampling problem. Screenshot attached.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Since the problem states that this scenario follows a normal distribution, then the first I thing I did was standardize \(\bar{X}\) Standardization: \[\huge Z=\frac{ \bar{X}-\mu }{ \frac{ \sigma }{ \sqrt{n}} }\] After standardizing, I got:\[P(-0.08 \le Z \le 0.08)\]However when I plugged in \(\Phi (0.08)- \Phi (-0.08)\) from the standard normal distribution tables, I got the wrong answer.
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ganeshie8
  • ganeshie8
could you try these once a) 0.5763 b) 0.2119
anonymous
  • anonymous
The first one was correct! But b). was not

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ganeshie8
  • ganeshie8
How about these a) 0.5763 b) 0.1587
anonymous
  • anonymous
Yup! That one's good now
ganeshie8
  • ganeshie8
there is an arithmetic error in your work : \(P(-0.08 \le Z \le 0.08)\) should be changed to \(P(-0.8 \le Z \le 0.8)\)
anonymous
  • anonymous
Interesting. Oops :) At least I had the right process -- I thought I was going crazy for getting this wrong! X) Thanks!
ganeshie8
  • ganeshie8
Happens :) btw, you may use wolfram for these calculations
ganeshie8
  • ganeshie8
http://www.wolframalpha.com/input/?i=P%28-0.01%2F%280.05%2F4%29%3CX%3C0.01%2F%280.05%2F4%29%29
anonymous
  • anonymous
Ah, I'll do that! Thanks!

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