Imagine that we take a sample from a population of interest. For the following questions use the sample values to the right: Use the sample standard deviation to estimate the population value. Assume that this sample accurately reflects the mean and standard deviation of the population so you can use the normal distribution and Z scores for the problems below. (If you've read ahead in your book or lab manual you know we should really use t scores, don't worry about this right now, use the Z scores) Q15. Assuming that the population data is normally distributed, what is the value that you expect 67% of the data in the population to be smaller than? (round to nearest 0.001) Sample data 21 17 Q16. What is your best estimate for the IQR of the population data? (round to nearest 0.001) 16 21 20 26 20 23 Val. = IQR =

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Imagine that we take a sample from a population of interest.
For the following questions use the sample values to the right:
Use the sample standard deviation to estimate the population value.
Assume that this sample accurately reflects the mean and standard
deviation of the population so you can use the normal distribution and
Z scores for the problems below. (If you've read ahead in your book or
lab manual you know we should really use t scores, don't worry about this right now, use the Z scores)
Q15. Assuming that the population data is normally distributed, what is the value
that you expect 67% of the data in the population to be smaller than?
(round to nearest 0.001)
Sample data
21
17
20
23
Q16. What is your best estimate for the IQR of the population data?
(round to nearest 0.001)
16
21
20
26
Val. =
IQR =
Transcribed Image Text:Imagine that we take a sample from a population of interest. For the following questions use the sample values to the right: Use the sample standard deviation to estimate the population value. Assume that this sample accurately reflects the mean and standard deviation of the population so you can use the normal distribution and Z scores for the problems below. (If you've read ahead in your book or lab manual you know we should really use t scores, don't worry about this right now, use the Z scores) Q15. Assuming that the population data is normally distributed, what is the value that you expect 67% of the data in the population to be smaller than? (round to nearest 0.001) Sample data 21 17 20 23 Q16. What is your best estimate for the IQR of the population data? (round to nearest 0.001) 16 21 20 26 Val. = IQR =
Expert Solution
Step 1

Given data is  : 16,21,20,26,21,17,20,23

Mean :

μ=xn=1648=20.5

Standard deviation :

σ=xi-μ2n=(16-20.5)2+...+(23-20.5)28=708=2.958

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