Respuesta :
Answer:
$780 to $1100
Step-by-step explanation:
A confidence interval has two bounds. A lower bound and an upper bound. They are dependent of the sample mean and of the margin of error M.
In this problem:
Sample mean: $940
Margin of error: $160
The lower end of the interval is the sample mean subtracted by M. So it is 940 - 160 = $780
The upper end of the interval is the sample mean added to M. So it is 940 + 160 = $1100
So the answer is
$780 to $1100
Answer:
[tex]940-160=780[/tex]
[tex]940+160=1100[/tex]
So then we are 95% confident that the true mean for the monthly rent is between 780 and 1100
Step-by-step explanation:
For this case we can define the following random variable X as the monthly rent and we know the following properties given:
[tex]\bar X= 940 [/tex] represent the sample mean
[tex] ME = 160[/tex] represent the margin of error
n = 10 represent the sample size
The confidence interval for the true mean is given by:
[tex] \bar X \pm z_{\alpha/2} \sqrt{\frac{\sigma}{\sqrt{n}}}[/tex]
And is equivalent to:
[tex]\bar X \pm ME[/tex]
And for this case if we replace the info given we got:
[tex]940-160=780[/tex]
[tex]940+160=1100[/tex]
So then we are 95% confident that the true mean for the monthly rent is between 780 and 1100
