p If it is possible to obtain a large number of observations for a variable 3. (Normality Test, X, a histogram would be helpful to determine whether or not X has approximately a normal distribution. However, if the sample is small (size < 30), a quantile-quantile plot is suggested. (1) Cpo, For the following sample, calculate the z quantiles z, z,,.., z2 (n = 12), which divide the area under z-curve to 13 equal parts. %3D 0.06 0.11 0.12 0.12 0.13 0.17 0.19 0.20 0.23 0.25 0.29 0.31 3 4. 5 6. 8 9. 10 11 12 0.0769 0.1538 0.2308 0.3077 | 0.3846 0.4615 0.5385 13 0.6154 0.6923 0.7692 0.8462 0.9231 (2)* sample was taken from a normal population. Draw a q-q plot (plot (x,, z,), (x2, z2), ·…, (x12, Z12)) to determine whether or not the

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3. (Normality Test, p, If it is possible to obtain a large number of observations for a variable
X, a histogram would be helpful to determine whether or not X has approximately a normal
distribution. However, if the sample is small (size < 30), a quantile-quantile plot is suggested.
(1) po, For the following sample, calculate the z quantiles z,, z,,, Z, (n=12), which divide
the area under z-curve to 13 equal parts.
0.06 0.11
0.12
0.12
0.13
0.17
0.19
0.20
0.23 0.25
0.29 0.31
1
3
4
5
8
10
11
12
0.0769 0.1538 0.2308 0.3077 0.3846 0.4615 0.5385 0.6154
13
0.7692 0.8462 0.9231
0.6923
(2)
sample was taken from a normal population.
Draw a q-q plot (plot (x1, z,), (x2, z,), ., (x12, Z12 )) to determine whether or not the
Transcribed Image Text:3. (Normality Test, p, If it is possible to obtain a large number of observations for a variable X, a histogram would be helpful to determine whether or not X has approximately a normal distribution. However, if the sample is small (size < 30), a quantile-quantile plot is suggested. (1) po, For the following sample, calculate the z quantiles z,, z,,, Z, (n=12), which divide the area under z-curve to 13 equal parts. 0.06 0.11 0.12 0.12 0.13 0.17 0.19 0.20 0.23 0.25 0.29 0.31 1 3 4 5 8 10 11 12 0.0769 0.1538 0.2308 0.3077 0.3846 0.4615 0.5385 0.6154 13 0.7692 0.8462 0.9231 0.6923 (2) sample was taken from a normal population. Draw a q-q plot (plot (x1, z,), (x2, z,), ., (x12, Z12 )) to determine whether or not the
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