Respuesta :
1. $mu= $306,500
2. $sigma= $24,500
3. $=n= 150
4. $mu_{overline}=$x= $306,500
5. $sigma_{overline}=$x= $2000
What is standard deviation?
A standard deviation (or ) is a measurement of the data's dispersion from the mean. A low standard deviation suggests that data are concentrated around the mean, whereas a large standard deviation shows that data are more dispersed.
What is the sample mean?
A sample mean is the average of a group of data. The central tendency, standard deviation, and variance of a data collection can be determined using the sample mean. Calculating population averages is just one of the many applications for which the sample mean may be used.
According to the given information:
The average mortgage owed by Americans is = $mu= $306,500
with a standard deviation of = $sigma = $24,500
Random sample of 150 American.
n =150
The sample mean is roughly normally distributed since the sample size is quite big, as shown by the central limit theorem.
The sample mean could be same as average mortgage owed by Americans:
μ[tex]_x[/tex] = μ = $306,500
$mu_{overline} = $306,500
The sample deviation is = σ[tex]_x[/tex] = σ/[tex]\sqrt{n}[/tex]
= 24500/[tex]\sqrt{150\\}[/tex]
$sigma_{overline}=$x = $2000
So,
the value of the given :
1. $mu= $306,500
2. $sigma= $24,500
3. $=n= 150
4. $mu_{overline}=$x= $306,500
5. $sigma_{overline}=$x= $2000
To know more about sample mean and standard deviation visit:
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I understand that the question you are looking for is:
A bank is reviewing its risk management policies with regards to mortgages. To minimize the risk of lending, the bank wants to compare the typical mortgage owed by their clients against other homebuyers. The average mortgage owed by Americans is $306,500, with a standard deviation of $24,500. Suppose a random sample of 150 Americans is selected. Identify each of the following, rounding your answers to the nearest cent when appropriate:
1. $mu=?
2. $sigma=?
3. $=n=$
4. $mu_{overline}=$x=?
5. $sigma_{overline}=$x=?
