1. Find the margin of error for the given values of c, , and n. c = 0.90 =3.5 n=
ID: 3243034 • Letter: 1
Question
1. Find the margin of error for the given values of c, , and n.
c = 0.90
=3.5
n=49
2. Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $244 with a standard deviation of $55. Random samples of size 31 are drawn from this population and the mean of each sample is determined.
3.
Construct the confidence interval for the population mean mu. c=0.98, x=15.6, =9.0, and n=40.
Explanation / Answer
1)for std error of mean =/(n)1/2 =0.5
for 90 % CI, z=1.6449
hence margin of error =z*std error =0.8224
2)
mean =244
std error=std deviation/(n)1/2 =55/(31)1/2 =9.8783
3)std error=std deviation/(n)1/2 =9/(40)1/2 =1.423
for 98% CI, z=2.326
hence confidence interval =sample mean -/+ z*std error =12.29 ; 18.91
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