Question

**The following questions ask you to construct and compare
a series of confidence intervals.**

**A. In a representative sample
of 30 students, the mean quiz score was 54 points with a standard
deviation of 2 points. Construct a 95% confidence interval to
estimate the mean quiz score in the population of all
students.** [5 points]

**B. In a representative sample
of 100 students, the mean quiz score was 54 points with a standard
deviation of 2 points. Construct a 95% confidence interval to
estimate the mean quiz score in the population of all
students.** [5 points]

**C. Compare the confidence
intervals you constructed in parts A and B. How did the interval
change when the sample size was increased from 30 to 100?**
[3 points]

**D. In a representative sample
of 30 students, the mean quiz score was 54 points with a standard
deviation of 2 points. Construct a 99% confidence interval to
estimate the mean quiz score in the population of all
students.** [5 points]

**E. Compare the confidence
intervals you constructed in parts A and D. How did the interval
change when the confidence level increased from 95% to
99%?** [3 points]

Answer #1

Use the given degree of confidence and sample data to construct
a confidence interval for the population mean μ. Assume that the
population has a normal distribution. Thirty randomly selected
students took the calculus final. If the sample mean was 95 and the
standard deviation was 6.6, construct a 99% confidence interval
for the mean score of all students.
A.92.95 <μ <97.05
B.92.03 <μ <97.97
C.91.69 <μ <98.31
D.91.68 <μ <98.32

Use the given degree of confidence and sample data to construct
a confidence interval for the population mean μ. Assume that the
population has a normal distribution. Thirty randomly selected
students took the calculus final. If the sample mean was 90 and the
standard deviation s = 6.7, construct a 99% confidence interval for
the mean score of all students

These next few questions ask about confidence intervals.
a) Bruce Wayne studies. A random sample of data on a categorical
variable and calculates a 95% confidence interval for the
population proportion to be (0.546, 0.674). Determine what the
sample proportion must have been, and explain why.
b) Suppose Clark and Lois plan to collect separate random
samples, with Clark using a sample size of 500 and Lois using a
sample size of 1500. Brad plans to construct a 99% confidence...

You are given the sample mean and the population standard
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use technology to construct the confidence intervals.
A random sample of 40 home theater systems has a mean price of
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The 90% confidence interval is?
The 95% confidence interval is?

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deviation. Use this information to construct the? 90% and? 95%
confidence intervals for the population mean. Interpret the results
and compare the widths of the confidence intervals. If? convenient,
use technology to construct the confidence intervals. A random
sample of 55 home theater systems has a mean price of ?$145.00.
Assume the population standard deviation is ?$15.50. Construct a?
90% confidence interval for the population mean.

You are given the sample mean and the population standard
deviation. Use this information to construct the90% and 95%
confidence intervals for the population mean. Interpret the results
and compare the widths of the confidence intervals. If convenient,
use technology to construct the confidence intervals. A random
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$129.00129.00. Assume the population standard deviation is
$15.9015.90.
Construct a 90% confidence interval for the population
mean.
The 90% confidence interval is...

You are given the sample mean and the population standard
deviation. Use this information to construct the 90% and 95%
confidence intervals for the population mean. Interpret the results
and compare the widths of the confidence intervals. If convenient,
use technology to construct the confidence intervals.
A random sample of 60 home theater systems has a mean price of
$147.00. Assume the population standard deviation is $19.40.
Construct a 90% confidence interval for the population mean.
The 90% confidence interval...

Answer only questions 1,2,3,4
The Graduate Management Admission Test
(GMAT) is a test required for admission into many masters of
business administration (MBA) programs. Total scores on the GMAT
are normally distributed and historically have a population
standard deviation of 113. The Graduate Management Admission
Council (GMAC), who administers the test, claims that the mean
total score is 529.
Suppose a random sample of 8 students
took the test, and their scores are given below.
699
560
514
570
521...

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