Complete Solutions Manual for Statistics for Business and Economics, 6th EMEA Edition by David Anderson, Dennis J. Sweeney, Thomas Williams, Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, James Freeman, Eddie Shoesmith ; ISBN13: 9781473791350...(Full Chapters are included an...
Statistics for Business and
Economics, 6th EMEA Edition by
David Anderson
Complete Chapter Solutions Manual
are included
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** Supplementary Exercises
,Table of Contents are given below
1. Data and Statistics
2. Descriptive statistics: tabular and graphical presentations
3. Descriptive statistics: numerical measures
4. Introduction to probability
5. Discrete probability distributions
6. Continuous probability distributions
7. Sampling and sampling distributions
8. Interval estimation
9. Hypothesis tests
10. Statistical inference about means and proportions with two
populations
11. Inferences about population variances
12. Tests of goodness of fit and independence
13. Experimental design and analysis of variance
14. Simple linear regression
15. Multiple regression
16. Regression analysis: model building
17. Time series analysis and forecasting
18. Non-parametric methods
,Solutions Manual organized in reverse order, with the last chapter displayed
first, to ensure that all chapters are included in this document
Chapter 22: Sample Surveys
Textbook Exercises
1. Simple random sampling was used to obtain a sample of n = 50 elements from a
population of N = 800. The sample mean was x = 215, and the sample standard
deviation was found to be s = 20.
a. Estimate the population mean.
b. Estimate the standard error of the mean.
c. Construct an approximate 95 per cent confidence interval for the population mean.
2. Simple random sampling was used to obtain a sample of n = 80 elements from a
population of N = 400. The sample mean was x = 75, and the sample standard deviation
was found to be s = 8.
a. Estimate the population total.
b. Estimate the standard error of the population total.
c. Construct an approximate 95 per cent confidence interval for the population total.
3. Simple random sampling was used to obtain a sample of n = 100 elements from a
population of N = 1,000. The sample proportion was p = 0.30.
a. Estimate the population proportion.
b. Estimate the standard error of the proportion.
c. Construct an approximate 95 per cent confidence interval for the population
proportion.
4. A sample is to be taken to develop an approximate 95 per cent confidence interval
estimate of the population mean. The population consists of 450 elements, and a pilot
study resulted in s = 70. How large must the sample be if we want to construct an
approximate 95 per cent confidence interval with a width of 30?
5. There are 376 district and unitary local authorities in England and Wales. Suppose you
take a simple random sample of 50 of them and find that the mean number of people
living in these localities is 135,210, with a sample standard deviation of 93,030. You find
that 29 of the sampled local authorities have populations of more than 100,000.
a. Construct an approximate 95 per cent confidence interval for the mean number of
residents in all 376 localities.
b. Construct an approximate 95 per cent confidence interval for the total population of
all 376 localities.
, c. Construct an approximate 95 per cent confidence interval for the proportion of all
local authorities that have populations of more than 100,000.
6. The Wall Street Journal conducted a survey of subscribers to its interactive edition. One
question asked the 504 respondents whether they used a laptop computer when
travelling; 55 per cent said they did. Another question asked respondents whether they
used an express or package service when travelling; 31 per cent said they did.
a. Calculate an estimate of the standard error for the proportion that uses a laptop
computer.
b. Calculate an estimate of the standard error for the proportion that uses an express or
package service.
c. Are the estimates of the standard error the same in parts (a) and (b)? If they differ,
explain why.
d. Construct an approximate 95 per cent confidence interval for the proportion that uses
a laptop computer.
e. Construct an approximate 95 per cent confidence interval for the proportion that uses
an express or package service.
7. A quality of life survey was conducted with employees of a manufacturing firm. Of the
firm’s 3,000 employees, a sample of 300 was sent questionnaires. Two hundred usable
questionnaires were obtained, giving a response rate of 67 per cent.
a. The mean annual salary for the sample was £23,200 with s = £3,000. Construct an
approximate 95 per cent confidence interval for the mean annual salary of the
population.
b. Use the information in part (a) to construct an approximate 95 per cent confidence
interval for the total salary of all 3,000 employees.
c. There were 73 per cent of the respondents who reported that they were ‘generally
satisfied’ with their job. Construct an approximate 95 per cent confidence interval for
the population proportion.
d. Comment on whether you think the results in part (c) might be biased. Would your
opinion change if you knew the respondents were guaranteed anonymity?
8. A stratified random sample was taken with the following results.
Stratum (h) xh sh ph Nh nh
1 138 30 0.50 200 20
2 103 25 0.78 250 30
3 210 50 0.21 100 25
a. Construct an estimate of the population mean for each stratum.
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