Question

A sample mean, sample size, population standard deviation, and confidence level are provided. Use this information to complete parts (a) through (c) below.

x=54, n=14, σ=5, confidence level=99%

A. Use the one-mean z-interval procedure to find a confidence interval for the mean of the population from which the sample was drawn.

The confidence interval is from ___to___

B. Obtain the margin of error by taking half the length of the confidence interval.

What is the length of the confidence interval? ____

C. Obtain the margin of error by using the formula E=z α/2 • σ/square root n.

Identify the critical value.

z α/2 =____

What is the margin of error obtained using the methods of parts (b) and (c)

____

Answer #1

A)

99% confidence interval for is

- z * / sqrt(n) < < + z * / sqrt(n)

54 - 2.576 * 5 / sqrt(14) < < 54 + 2.576 * 5 / sqrt(14)

50.56 < < 57.44

The confidence interval from 5056 to 57.44

B)

Margin of error = Width of CI / 2

= (57.44 - 50.56 ) / 2

= **3.44**

C)

E = 2.576 * 5 / sqrt(14)

= **3.442**

A sample mean, sample size, population standard deviation,
and confidence level are provided. Use this information to complete
parts (a) through (c) below.
x =2323, n=3434, σ=55, confidence level=95%
a.
Use the one-mean z-interval procedure to find a confidence
interval for the mean of the population from which the sample was
drawn.
The confidence interval is from__ to__
b.Obtain the margin of error by taking half the length of the
confidence interval.
What is the length of the confidence interval?...

a. Use the one-mean t-interval procedure with the sample mean,
sample size, sample standard deviation, and confidence level
given below to find a confidence interval for the mean of the
population from which the sample was drawn.
b. Obtain the margin of error by taking half the length of the
confidence interval. c. Obtain the margin of error by using the
formula t Subscript alpha divided by 2 Baseline times StartFraction
s Over StartRoot n EndRoot EndFraction .
x=30 n=25...

x= 53 n=217 sigma o= 7 confidence =99%
The confidence interval is from to
b. Obtain the margin of error by taking half the length of the
confidence interval.
What is the length of the confidence interval?
c. Obtain the margin of error by using the formula E=z(a/2) x o/
square root of n
Identify the critical value.
What is the margin of error obtained using the methods of parts
(b) and (c)?

A simple random sample
with n=54 provided a sample mean of 24.0 and a sample standard
deviation of 4.3.
a.
Develop a confidence interval for the population mean (to 1
decimal).
,
b.
Develop a confidence interval for the population mean (to 1
decimal).
,
c.
Develop a confidence interval for the population mean (to 1
decimal).
,
d.
What happens to the margin of error and the confidence interval as
the confidence level is increased?
- Select your answer...

A sample mean, sample size, and population standard deviation
are provided below. Use the one-mean z-test to perform the required
hypothesis test at the 5% significance level.
x̄ = 27, n = 12, σ = 5
Ha : μ> 23

A sample mean, sample size, and population standard deviation
are provided below. Use the one-mean z-test to perform the
required hypothesis test at the 1% significance level. x bar =26,
n=36, σ=88, H0: mu=3, μ=31, Ha: mu < 31
Find test statistic Z?

#1 Use the confidence level and sample data to find a confidence
interval for estimating the population μ. Find the margin of error
E and round your answer to the nearest tenth. Test scores: n = 93,
LaTeX: \bar{x}x ¯ = 88.5, σ = 6; 99% confidence
#2 A sociologist develops a test to measure attitudes towards
public transportation, and n = 82 randomly selected subjects are
given the test. Their mean score is LaTeX: \bar{x}x ¯ = 75.9 and...

Determine the margin of error for a confidence interval to
estimate the population mean with n=30and σ=39
for the following confidence levels.
a)
92 %
b)
94 %
c)
99 %
a) With a 92% confidence level, the margin of error is ____.

A simple random sample with n=50provided a sample mean of 23.5
and a sample standard deviation of 4.3
a. Develop a 90% confidence interval for the
population mean (to 1 decimal).
,
b. Develop a 95% confidence interval for the
population mean (to 1 decimal).
,
c. Develop a 99% confidence interval for the
population mean (to 1 decimal).
,
d. What happens to the margin of error and the
confidence interval as the confidence level is increased?

A sample size of 26 is taken from a normal
distribution and a confidence interval is constructed. The sample
mean is 61 and the population standard deviation
is σ = 18.
Using a 99% confidence level,
find the margin of error,
E.

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