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A 95% confidence interval for a population mean is determined to be 100 to 120. If the confidence coefficient is reduced to .90, the interval for μ _____.


A) becomes narrower
B) becomes wider
C) does not change
D) becomes .1

E) A) and B)
F) C) and D)

Correct Answer

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A random sample of 25 employees of a local company has been measured. A 95% confidence interval estimate for the mean systolic blood pressure for all company employees is 123 to 139. Which of the following statements is valid?


A) 95% of the sample of employees has a systolic blood pressure between 123 and 139.
B) If the sampling procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.
C) 95% of the population of employees has a systolic blood pressure between 123 and 139.
D) If the sampling procedure were repeated many times, 95% of the sample means would be between 123 and 139.

E) A) and B)
F) A) and C)

Correct Answer

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The probability that the interval estimation procedure will generate an interval that contains the actual value of the population parameter being estimated is the _____.


A) level of significance
B) confidence level
C) confidence coefficient
D) error factor

E) B) and C)
F) All of the above

Correct Answer

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A random sample of 25 statistics examinations was selected. The average score in the sample was 76 with a variance of 144. Assuming the scores are normally distributed, the 99% confidence interval for the population average examination score is _____.


A) 70.02 to 81.98
B) 69.82 to 82.18
C) 70.06 to 81.94
D) 69.29 to 82.71

E) None of the above
F) C) and D)

Correct Answer

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In determining the sample size necessary to estimate a population proportion, which of the following is NOT needed?


A) the maximum margin of error that can be tolerated
B) the confidence level required
C) a preliminary estimate of the true population proportion p
D) the mean of the population

E) A) and B)
F) All of the above

Correct Answer

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Whenever the population standard deviation is unknown, which distribution is used in developing an interval estimate for a population mean?


A) standard distribution
B) z distribution
C) binomial distribution
D) t distribution

E) A) and D)
F) B) and C)

Correct Answer

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In determining the sample size necessary to estimate a population proportion, which of the following is NOT needed?


A) the maximum margin of error that can be tolerated
B) the confidence level required
C) a preliminary estimate of the true population proportion p
D) the mean of the population

E) B) and C)
F) A) and B)

Correct Answer

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A newspaper wants to estimate the proportion of Americans who will vote for Candidate A. A random sample of 1000 voters is selected. Of the 1000 respondents, 526 say that they will vote for Candidate A. Which Excel function would be used to construct a confidence interval estimate?


A) NORM.S.INV
B) NORM.INV
C) T.INV
D) INT

E) A) and B)
F) A) and C)

Correct Answer

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If we want to provide a 95% confidence interval for the mean of a population, the confidence coefficient is _____.


A) .485
B) 1.96
C) .95
D) 1.645

E) B) and C)
F) All of the above

Correct Answer

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The expression used to compute an interval estimate of μ may depend on any of the following factors EXCEPT _____.


A) the sample size
B) whether the population standard deviation is known
C) whether the population has an approximately normal distribution
D) whether there is sampling error

E) C) and D)
F) B) and C)

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Below you are given ages that were obtained by taking a random sample of nine undergraduate students. 19 22 23 19 21 22 19 23 21 Use Excel to determine an interval estimate for the mean of the population at a 99% confidence level. Interpret your results.

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blured image Interpretation of Interval ...

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A manufacturer wants to estimate the proportion of defective items that are produced by a certain machine. A random sample of 50 items is selected. Which Excel function would NOT be appropriate to construct a confidence interval estimate?


A) NORM.S.INV
B) COUNTIF
C) STDEV
D) All of these answers are correct.

E) None of the above
F) A) and D)

Correct Answer

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When the level of confidence increases, the confidence interval _____.


A) stays the same
B) becomes wider
C) becomes narrower
D) cannot be determined from the information given

E) All of the above
F) B) and D)

Correct Answer

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If the margin of error in an interval estimate of ? is 4.6, the interval estimate equals _____.


A) xˉ±2.3\bar { x } \pm 2.3
B) xˉ±4.6\bar { x } \pm 4.6
C) xˉ±4.508\bar { x } \pm 4.508
D) xˉ±6.9\bar { x } \pm 6.9

E) B) and C)
F) A) and D)

Correct Answer

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An estimate of a population parameter that provides an interval believed to contain the value of the parameter is known as the _____.


A) confidence level
B) interval estimate
C) parameter value
D) population estimate

E) C) and D)
F) B) and D)

Correct Answer

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