Unformatted text preview: uce per restaurant size
bottle differs from the labeled amount of 20 ounces. The manager samples nine bottles,
measures the weight of their contents, and finds the sample mean is 19.7 ounces and the
sample standard deviation is 0.3 ounces. Calculate the appropriate test statistic to test the
hypotheses.
A. 3.00
B. 1.00
C. 9.00
D. 1.00
E. 3.00 1743 Chapter 01  An Introduction to Business Statistics 124. In a bottling process, a manufacturer will lose money if the bottles contain either more or
less than is claimed on the label. Suppose a quality manager for a steak sauce company is
interested in testing whether the mean number of ounces of steak sauce per restaurant size
bottle differs from the labeled amount of 20 ounces. The manager samples nine bottles,
measures the weight of their contents, and finds the sample mean is 19.7 ounces and the
sample standard deviation is 0.3 ounces. What is the critical value for α = .05 to test the
hypotheses.
A. 2.306
B. 2.262
C. 1.860
D. 3.09
E. 1.96 125. A major car manufacturer wants to test a new catalytic converter to determine whether it
meets new air pollution standards. The mean emission of all converters of this type must be
less than 20 parts per million of carbon. Ten (10) converters are manufactured for testing
purposes and their emission levels are measured with a mean of 17.17 and a standard
deviation of 2.98. Calculate the appropriate test statistic to test the hypotheses.
A. 3.00
B. 9.50
C. 0.95
D. 3.00
E. 9.50 126. A major car manufacturer wants to test a new catalytic converter to determine whether it
meets new air pollution standards. The mean emission of all converters of this type must be
less than 20 parts per million of carbon. Ten (10) converters are manufactured for testing
purposes and their emission levels are measured with a mean of 17.17 and a standard
deviation of 2.98. What is the critical value for α = .01 to test the hypotheses.
A. 2.821
B. 3.250
C. 2.33
D. 2.821
E. 3.250 1744 Chapter 01  An Introduction to Business Statistics 127. According to a national survey, the average commuting time for people who commute to
a city with a population of 1 to 3 million is 19.0 minutes. Suppose a researcher lives in a city
with a population of 2.4 million and wants to test this claim in her city. Taking a random
sample of 20 commuters she calculates a mean time of 19.346 minutes and a standard
deviation of 2.842 minutes. Calculate the appropriate test statistic to test the hypotheses.
A. 1.08
B. 0.54
C. 1.08
D. 0.54
E. 3.60 128. According to a national survey, the average commuting time for people who commute to
a city with a population of 1 to 3 million is 19.0 minutes. Suppose a researcher lives in a city
with a population of 2.4 million and wants to test this claim in her city. Taking a random
sample of 20 commuters she calculates a mean time of 19.346 minutes and a standard
deviation of 2.842 minutes. What is the critical value for α = .10 to test the hypotheses.
A. 1.729
B. 1.725
C. 1.328
D. 1.325
E. 1.645 129. In 1930, the average size of a public restroom was 172 square feet; by 1990, due to
federal disability laws, the average size had increased to 471 square feet. Suppose that a
design team believes that this standard has increased from the 1990 level. They randomly
sample 23 public restrooms in a major Midwestern city and obtain a mean square footage of
498.78 with a standard deviation of 46.94. Calculate the appropriate test statistic to test the
hypotheses.
A. 2.84
B. 13.61
C. 30.34
D. 2.84
E. 13.61 1745 Chapter 01  An Introduction to Business Statistics 130. In 1930, the average size of a public restroom was 172 square feet; by 1990, due to
federal disability laws, the average size had increased to 471 square feet. Suppose that a
design team believes that this standard has increased from the 1990 level. They randomly
sample 23 public restrooms in a major Midwestern city and obtain a mean square footage of
498.78 with a standard deviation of 46.94. What is the critical value for α = .001 to test the
hypotheses.
A. 3.792
B. 3.767
C. 3.505
D. 3.485
E. 3.09 131. A sample of 400 journalism majors at a major research university was asked if they
agreed with the following statement "Government should be more involved in oversight and
regulation of reporting". Fiftytwo (52) percent of the respondents agreed with the statement.
Calculate the appropriate test statistic to test the claim that at least 50% of journalism majors
agree with the statement.
A. 0.80
B. 1.60
C. 8.00
D. 1.60
E. 0.80 132. A sample of 400 journalism majors at a major research university was asked if they
agreed with the following statement "Government should be more involved in oversight and
regulation of reporting". Fiftytwo (52) percent of the respondents agreed with the statement.
Calculate the pvalue associated with the test statistic.
A. .0001
B. .2000
C. .2119
D. .2881
E. .4238 1746 Chapter 01  An Introduction to Business Statis...
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