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Answer:
a) [24.114,29.2858]
b) Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP
Step-by-step explanation:
a)
The 95% confidence interval is given by the interval
where
= 26.7 is the sample mean
s = 17.7 is the sample standard deviation
n = 180 is the sample size
Since the sample size is big enough, we can use the Normal N(0,1) to compute and it would be 1.96(*) (a value such that the area under the Normal curve outside the interval [-z, z] is 5% (0.05))
and our 95% confidence interval is
(*)
This value can be computed in Excel with
<em>NORMINV(1-0.025,0,1)</em>
and in OpenOffice Calc with
<em>NORMINV(1-0.025;0;1)</em>
b)
Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP
An equation is formed of two equal expressions. The correct options are C, D, and E.
<h3>What is an equation?</h3>An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The value of x in the given equation is,
Substitute the value of x in other option to check if the equations are equal are not. Therefore, the options can be written as,
A.) 18x - 15 = 72
18(4.5) - 15 = 66
Thus, this will not return the same value.
B.) 50x - 25 = 72
50(4.5) - 25 = 200
Thus, this will not return the same value.
C.) 18x - 9 = 72
18(4.5) - 9 = 72
Thus, this will return the same value.
D.) 3(6x - 3) = 72
3[6(4.5) - 3] = 72
Thus, this will return the same value.
E.) x = 4.5
Thus, this will return the same value.
Hence, the correct options are C, D, and E.
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