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Confidence Interval Estimate, Point Estimate - Assignment 6 | STA 291, Assignments of Statistical mechanics

Material Type: Assignment; Class: STATISTICAL METHOD; Subject: Statistics; University: University of Kentucky; Term: Summer II 2008;

Typology: Assignments

Pre 2010

Uploaded on 10/01/2009

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Name: __________________ Class: Date: _____________
(First Page)
Name: __________________ Class: Date: _____________
(Subsequent Pages)
1.
The z value for a 96.6% confidence interval estimate for a population mean is:
a. 2.12
b. 1.82
c. 2.00
d. 1.96
2.
A point estimate is defined as:
a. the average of the sample values.
b. the average of the population values.
c. a single value that is the best estimate of an unknown population parameter.
d. a single value that is the best estimate of an unknown sample statistic.
3.
In developing an interval estimate for a population mean, the population standard deviation was assumed to be 10. The interval
estimate was 50.92 2.14. Had equaled 20, the interval estimate would be:
a. 60.92 2.14
b. 50.92 12.14
c. 101.84 4.28
d. 50.92 4.28
4.
A 99% confidence interval estimate of the population mean can be interpreted to mean:
a. if all possible sample are taken and confidence interval estimates are developed, 99% of them would include the true population
mean somewhere within their interval.
b. we have 99% confidence that we have selected a sample whose interval does include the population.
c. we estimate that the population mean falls between the lower and upper confidence limits, and this type of estimator is correct
99% of the time.
d. all of these choices.
5.
A financial analyst wanted to determine the mean annual return on mutual funds. A random sample of 60 returns shows a mean of 12%.
If the population standard deviation is assumed to be 4%, estimate with 95% confidence the mean annual return on all mutual funds.
_________
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Name: __________________ Class: Date: _____________

(First Page) Name: __________________ Class: Date: _____________

(Subsequent Pages) 1.

The z value for a 96.6% confidence interval estimate for a population mean is:

a. 2. b. 1. c. 2. d. 1.

2.

A point estimate is defined as:

a. the average of the sample values. b. the average of the population values. c. a single value that is the best estimate of an unknown population parameter. d. a single value that is the best estimate of an unknown sample statistic.

3.

In developing an interval estimate for a population mean, the population standard deviation was assumed to be 10. The interval estimate was 50.92 2.14. Had equaled 20, the interval estimate would be:

a. 60.92 2. b. 50.92 12. c. 101.84 4. d. 50.92 4.

4.

A 99% confidence interval estimate of the population mean can be interpreted to mean:

a. if all possible sample are taken and confidence interval estimates are developed, 99% of them would include the true population mean somewhere within their interval. b. we have 99% confidence that we have selected a sample whose interval does include the population. c. we estimate that the population mean falls between the lower and upper confidence limits, and this type of estimator is correct 99% of the time. d. all of these choices.

5. A financial analyst wanted to determine the mean annual return on mutual funds. A random sample of 60 returns shows a mean of 12%. If the population standard deviation is assumed to be 4%, estimate with 95% confidence the mean annual return on all mutual funds.


An economist is interested in studying the incomes of consumers in a particular region. The population standard deviation is known to be $1,000. A random sample of 50 individuals resulted in an average income of $15,000. What is the width of the 90% confidence interval?


As its name suggests, the objective of estimation is to determine the approximate value of:

a. a population parameter on the basis of a sample statistic. b. a sample statistic on the basis of a population parameter. c. the sample mean. d. the sample variance.

8.

To estimate with 99% confidence the mean of a normal population, whose standard deviation is assumed to be 6 and the maximum allowable sampling error is assumed to be 1.2, requires a random sample of size:

a. 166 b. 165 c. 164 d. 163

9.

Which of the following statements is false?

a. The width of a confidence interval estimate of the population mean narrows when the sample size increases. b. The width of a confidence interval estimate of the population mean narrows when the value of the sample mean increases. c. The width of a confidence interval estimate of the population mean widens when the confidence level increases. d. All of these choices.

10. A normal population has a standard deviation of 15. How large a sample should be drawn to estimate with 95% confidence the population mean to within 1.5?


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ANSWER KEY

HW #