Statistics-What is the margin of error of your estimate of

Consider the following statement for questions 1-5
It is given that

$132.50

for the expenses of books and

supplies for the students of a certain large university for a
semester. To estimate the mean of such expenses for all the
students, a simple random sample of 35 students is taken
and the mean for these 35 students is

.

x $397.63
1. What is the margin of error of your estimate of the
population mean at a 95% confidence level?
2. Construct a 95% confidence interval for the mean such
expenses for all the students.
3. What is the margin of error of your estimate of the
population mean at a 99% confidence level?
4. Construct a 99% confidence interval for the mean such
expenses for all the students.
5. Which of the two confidence interval is wider?
Consider the following for the questions 6-9
We have to construct a confidence interval for the mean of SAT
(verbal and quantitative) scores of students who use a special
coaching. How large a sample must be taken to participate in
the coaching group to estimate this mean with a margin of
error of no more than 25 points if we can assume that the
population standard deviation is 175 points for the reference
population?
Compute the required sample size for each of the following
confidence levels.

?1. 90% confidence

2. 95% confidence

3. 99% confidence
Consider the following for the questions 10-12

A clinic claims that the average time taken by a patient to see the
doctor from the appointment time
is 30 minutes. A simple random sample of 35 patients is
contacted the mean of the wait time for this sample is 47 minutes
and the standard deviation of the wait time for this sample is 12
minutes.

10.What is the margin of error of your estimate of the
population mean at a 95% confidence level?

11.Construct a 95% confidence interval for the mean wait time
for all the patients.

12. Is 30 minute in this interval?

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