Question

A manager wishes to estimate a population mean using a 95% confidence interval estimate that has a margin of error of

±44.0 If the population standard deviation is thought to be 610, what is the required sample size?

Answer #1

For the 95% confidence interval, the margin of error is ±44.0 and the population SD(s) is 610

Let the sample size be n

By the problem,

The required sample size is **738**

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A manager wishes to estimate a population mean using a 99%
confidence interval estimate that has a margin of error of plus or
minus±48.0 If the population standard deviation is thought to be
630, what is the required sample size?
The sample size must be at least?

Assume that you want to construct a 95% confidence interval
estimate of a population mean. Find an estimate of the sample size
needed to obtain the specified margin of error for the 95%
confidence interval. The sample standard deviation is given
below.
Margin of errors=$6,
standard deviation=$22
The required sample size is __

Find the margin of error for a 95% confidence interval for
estimating the population mean when the sample standard deviation
equals 90 with a sample size of (i) 484 and (ii) 1600
(i) Find the margin of error for a 95% confidence interval for
estimating the population mean when the sample standard deviation
equals 90 with a sample size of 484
(ii).
(ii) Find the margin of error for a 95% confidence interval
for estimating the population mean when the...

The sample size required to estimate, at 95% confidence, a
population mean with a maximum allowable margin of error of +/- 1.5
when the population standard deviation is 5 is ____
observations.
The sample size required to estimate, at 90% confidence, a
population proportion with a maximum allowable margin of error of
+/- 3.00 percentage points is ____ observations.

Using a T-Interval on your calculator to find a 95% confidence
interval estimate of a mean when the sample mean from a sample of
35 individuals is 132.5 and the sample standard deviation is 14.7,
what is the resulting margin of error?

Find the margin of error for a 95% confidence interval for
estimating the population mean when the sample standard deviation
equals
100 with a sample size of (i)484 and (ii)1521.
What is the effect of the sample size?

Use the given data to find the 95% confidence interval estimate
of the population mean ?. Assume that the population has a normal
distribution.
IQ scores of professional athletes:
Sample size ?=25
Mean ?⎯⎯⎯=106
Standard deviation ?=11
________<?__________

Use the given data to find the 95% confidence interval estimate
of the population mean ?.
Assume that the population has a normal distribution.
IQ scores of professional athletes:
Sample size ?=25
Mean ?⎯=104
Standard deviation ?=12
= ...<?<...

(S 9.2) Recall that a confidence interval for the sample mean
can be calculated using the interval
x¯?tn?1?sn??????x¯+tn?1?sn???
Thus, the margin of error is
tn?1?sn???
We can recover the margin of error from an interval constructed
on the calculator using algebra.
Suppose a random sample of size 16 was taken from a normally
distributed population, and the sample standard deviation was
calculated to be s = 6.3. We'll assume the sample mean is
10 for convenience.
a) Calculate the margin...

Confidence Interval. Calculate a 80% confidence interval to
estimate the population mean using the following data: Sample mean
= 20, sample standard deviation =5, sample size = 16. Do not forget
conclusion.

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