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looloo273
02.03.2020 •
Mathematics
Given the perimeter of the square is 40 solve for x. Using 4x+2
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Ответ:
Ответ:
answer:
x= 8
Step-by-step explanation:
Ответ:
a)For this case the best estimator for the true mean is the sample mean
because:
And if we assume that each observation
follows a normal distribution
then we have:
So then yes the![\bar X[/tex[ is a unbiased estimator for the true mean. b) [tex]z_{\alpha/2}=1.96](/tpl/images/0424/4403/4761b.png)
c)![ME= 1.96 \frac{0.4}{\sqrt{50}}=0.1109](/tpl/images/0424/4403/0e64a.png)
Step-by-step explanation:
Previous concepts
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
n=50 represent the sample size
Assuming the X follows a normal distribution
The sample mean
is distributed on this way:
A. What is the point estimate in this scenario? Is it an unbiased estimator?
For this case the best estimator for the true mean is the sample mean
because:
And if we assume that each observation
follows a normal distribution
then we have:
So then yes the
,
and
Using the normal standard table, excel or a calculator we see that:
C. What is the margin of error for a 95% interval in this scenario? Show your work.
The margin of error is given by:
If we replace the values that we have we got:
The confidence interval on this case is given by:
Since we have all the values we can replace:
So on this case the 95% confidence interval would be given by (3.989;4.211)