Question

You may need to use the appropriate appendix table or technology to answer this question. A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimate μ. (Round your answers to four decimal places.)

(a) What is the probability that the sample mean will be within ±5 of the population mean?

(b) What is the probability that the sample mean will be within ±10 of the population mean?

Answer #1

You may need to use the appropriate appendix table or technology
to answer this question.
Consider the following hypothesis test.
H0: μ ≥ 10
Ha: μ < 10
The sample size is 130 and the population standard deviation is
assumed known with σ = 5.Use α = 0.05.
(a) If the population mean is 9, what is the probability that
the sample mean leads to the conclusion do not reject
H0? (Round your answer to four decimal
places.)
(b) What...

You may need to use the appropriate appendix table or technology
to answer this question.
Barron's reported that the average number of weeks an
individual is unemployed is 18.5 weeks. Assume that for the
population of all unemployed individuals the population mean length
of unemployment is 18.5 weeks and that the population standard
deviation is 4 weeks. Suppose you would like to select a sample of
60 unemployed individuals for a follow-up study.
(a) Show the sampling distribution of x,...

You may need to use the appropriate appendix table or technology
to answer this question.
The Economic Policy Institute periodically issues reports on
wages of entry level workers. The institute reported that entry
level wages for male college graduates were $21.68 per hour and for
female college graduates were $18.80 per hour in 2011.† Assume the
standard deviation for male graduates is $2.30, and for female
graduates it is $2.05. (Round your answers to four decimal
places.)
(a)
What is...

You may need to use the appropriate appendix table or technology
to answer this question. Annual starting salaries for college
graduates with degrees in business administration are generally
expected to be between $41,000 and $59,600. Assume that a 95%
confidence interval estimate of the population mean annual starting
salary is desired. (Round your answers up to the nearest whole
number.) What is the planning value for the population standard
deviation? (a) How large a sample should be taken if the...

You may need to use the appropriate appendix table or technology
to answer this question. The following random sample from a
population whose values were normally distributed was collected. 11
11 17 17 What is the 80% confidence interval for μ?
A. 10.000 to 18.000
B. 10.536 to 17.464
C. 11.163 to 16.837
D. 12.542 to 15.458

You may need to use the appropriate appendix table or technology
to answer this question. An air transport association surveys
business travelers to develop quality ratings for transatlantic
gateway airports. The maximum possible rating is 10. Suppose a
simple random sample of 50 business travelers is selected and each
traveler is asked to provide a rating for a certain airport. The
ratings obtained from the sample of 50 business travelers
follow.
6 4 6 8 7 7 6 3 3...

You may need to use the appropriate appendix table or technology
to answer this question. A production process is checked
periodically by a quality control inspector. The inspector selects
simple random samples of 40 finished products and computes the
sample mean product weights x. If test results over a long period
of time show that 5% of the x values are over 2.1 pounds and 5% are
under 1.9 pounds, what are the mean and the standard deviation (in
lb)...

You may need to use the appropriate appendix table or technology
to answer this question. Software companies work hard to produce
software that does not have bugs in it. The average number of bugs
found in a new software program at its inception is 26.5 with a
standard deviation of 3.5 bugs. A random sample of size 45 software
programs was examined. (a) Determine the mean (in bugs) of the
sampling distribution of the sample mean for samples of size...

You may need to use the appropriate appendix table or technology
to answer this question.
A newspaper reports that the average expenditure on Valentine's
Day is $100.89. Do male and female consumers differ in the amounts
they spend? The average expenditure in a sample survey of 40 male
consumers was $138.67, and the average expenditure in a sample
survey of 30 female consumers was $61.64. Based on past surveys,
the standard deviation for male consumers is assumed to be $35,...

You may need to use the appropriate appendix table or technology
to answer this question.
A newspaper reports that the average expenditure on Valentine's
Day is $100.89. Do male and female consumers differ in the amounts
they spend? The average expenditure in a sample survey of 40 male
consumers was $137.67, and the average expenditure in a sample
survey of 30 female consumers was $65.64. Based on past surveys,
the standard deviation for male consumers is assumed to be $45,...

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