Question

What is the z score for 20 if mean = 28 and standard deviation = 6?

          What is the z score for 20 if mean = 28 and standard deviation = 6?
        

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Probability with Applications in Engineering, Science, and Technology
Probability with Applications in Engineering, Science, and Technology
Matthew A. Carlton • Jay L. Devore 2nd Edition
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What is the z score for 20 if mean = 28 and standard deviation = 6?
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Transcript

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00:01 In this problem, we are required to determine the z score provided that the data value is 20 and the mean of the distribution is 28, and along with this we are given the standard deviation as well, which is 6.
00:14 So here we simply use this formula which relates the z score with the data values, mean, and the standard deviation.
00:21 So let's plug in the values here and we get z as 20 minus 28 divided by 6.
00:28 So first we subtract 28 from 20 and this comes out to be minus 8 and in the denominator we have 6 as the value.
00:37 So now we just divide 8 with 6 and we see that 2 is a common factor...
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