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dean91
14.04.2020 •
Mathematics
The number of cars sold annually by used car salespeople is normally distributed with a standard deviation of 16. A random sample of 420 salespeople was taken and the mean number of cars sold annually was found to be 69. Find the 91% confidence interval estimate of the population mean.
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Ответ:
Following are the calculation to the Confidence Interval:
Given:
To find:
Confidence Interval=?
Solution:
Here,
Therefore,
Now,
confidence interval:
Therefore, the final answer is "
".
Learn more:
link
Ответ:
The 91% confidence interval estimate of the population mean is between 67.68 and 70.32 cars sold annually.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so ![z = 1.695](/tpl/images/0598/8251/f94d5.png)
Now, find the margin of error M as such
In which
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 69 - 1.32 = 67.68.
The upper end of the interval is the sample mean added to M. So it is 69 + 1.32 = 70.32
The 91% confidence interval estimate of the population mean is between 67.68 and 70.32 cars sold annually.
Ответ:
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Step-by-step explanation: