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Answer on Statistics and Probability Question for Sean

Question #15439
Unysis.com Is one of the most frewuented business to business web sites. Assuming that the duration of a visit to this website is normally distributed with a mean of 65.7 minutes and a standard deviation of 15 minutes

Question : Less than how many minutes will only 20% of the visits last?
Expert's answer
less than 20% correspond to z-score of -0.84. So the answer is
65.7+15*(-0.84)=53.08. So it'll last less than 53.08 min.

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Comments

Assignment Expert
11.10.2012 11:30

Actually that's not Sean)
You're welcome! We are glad to be helpful.
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Vinay
11.10.2012 09:59

Thank you Sean for your help, you made it so easy.

Assignment Expert
11.10.2012 09:17

For that you need to use table for standard normal distribution.
&
The standard normal distribution table provides the probability that random variable x is less than or equal to z. In the table we have values of z>0(the very left column).For example, if we need to find& Φ(1.5) then we find “1.5” in the very left column of the table, pick the value of function which stands next to it
Returning to our problem, why is z=-0.84?
We& know that 20% of the observations (20% of the area under the curve) lie to the left of z. This value of z is obviously negative, because we see that zero point divides curve into equal parts, i.r. 50% of the area lies to the left of z=0. Also we can see that there’s no negative values of z in the table. But it’s evident that required value of z equals minus {z corresponding to 80%}. So let’s find z for which 80% of the curve area lies to the left.
To begin it helps to identify approximately where this value might be. Since 20% of the area under the curve must be to the right of z , z must be above 0.
&
Since this problem begins in an opposite fashion, you might guess the procedure for a solution works in the opposite order.
We already know an area under the curve. However, the area we know is above the region to the right of z. The table handles areas under the curve to the left of values. The area under the curve over the region left of z is 0.8000. (Or...given that 20% of the values are to lie above z, it must be the case that 80% of the values lie below z.)
&
Reverse the steps used previously.
Look up an area of 0.8000. Areas are found on the inside of the table. There is no value exactly equal to 0.8000, choose the closest one& 0.7995.
Now, from the margins, find the value z that accompanies this area. That value is 0.84.
&

In our case therefore we have z=-0.84
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

vinay
10.10.2012 14:06

I would like to know how did you get the answer of -0.84 in the workings?

Assignment Expert
28.09.2012 07:19

You're welcome. We are glad to be helpful.
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Sean
27.09.2012 13:41

Thank you so much I was having doubts as to the 0.84 was negative or positive

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