Question

How large of a sample size is needed to ensure that a fuel
estimate has a martin of error that is no more than 5 units, with
95% confidence and a known population standard deviation of 7units
?

Also what is your alpha value / z score / standard deviation
and margin of error?

Answer #1

Given that, margin of error (E) = 5 units

population standard deviation = 7 units

confidence level = 0.95

=> significance level = 1 - 0.95 = 0.05

A 95% confidence level has significance level of 0.05 and critical value is,

We want to find, the sample size (n),

=> n ≈ **8**

Therefore, required sample size is **8**

What sample size is needed to estimate a population mean with a
margin of error of 10 of the true mean value using a confidence
level of 95%, if the true population variance (not the standard
deviation!) is known to be 1600? (10 points)

7. What is the minimum sample size needed to ensure a survey to
create a confidence interval estimate of a population proportion
has a margin of error no larger than 0.09 at the 98% confidence
level?

Find an estimate of the sample size needed to obtain a margin of
error of
0.06
for the 95% confidence interval of a population mean, given a
sample standard deviation of
0.8
Do not round until the final answer.

Find an estimate of the sample size needed to obtain a margin of
error of 0.05 for the 95% confidence interval of a population mean,
given a sample standard deviation of 1.3. Do not round until the
final answer. a. 135 b. 2704 c. 135,200 d. 52

Determine the sample size needed to construct a 90% confidence
interval to estimate the average GPA for the student population at
a college with a margin of error equal to 0.5. Assume the standard
deviation of the GPA for the student population is 3.0. The sample
size needed is ?

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.

Determine the sample size needed to construct a 90% confidence
interval to estimate the average GPA for the student population at
a college with a margin of error equal to 0.4. Assume the standard
deviation of the GPA for the student population is 3.5

The sample size needed to estimate a population mean to within
50 units was found to be 97. If the population standard deviation
was 250, then the confidence level used was:
a) 90%
b) 95%
c) 98%
d) 99%
e) None of the above.

What sample size is needed if a ±1.5 lbs. margin of error is
needed for computing the 95% confidence interval of the mean weight
of U.S. adult males? Assume a population standard
deviation of 12 lbs.

4. For a 99% confidence level, how large of a sample size is
needed for a margin of error of 0.03 for the es-timate of the
population proportion? Past studies are not available

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