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Chapter 10: Sampling Distributions and the Central Limit Theorem
In addition, from the
Central Limit Theorem for the Difference Between
Two Sample Means
, the distribution of
̅
̅
will be approximately
normal with a mean of
̅
̅
= (µ
1
– µ
2
) = 85 – 76 = 9 and a standard
deviation of
̅
̅
=
√
=
√
= 3.5004.
We can also use these values in the
Normal Distribution
workbook to solve
the problem. Use the difference of 0. The output is shown in
Figure 10-34
.
Figure 10-34:
Normal distribution output for
P
(
̅
̅
0)
using the mean and standard deviation for the
Sampling Distribution for the difference of the
two sample means in
Example 10-7
We can also use the
Sampling Distribution for the Difference Between
Two Independent PopulationMeans
to directly work the problem.
Figure
10-35
shows the output. Observe that the answer is the same as that
produced by the two previous approaches.