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If a hypothesis test leads to the rejection of the null hypothesis,


A) a Type II error must have been committed.
B) a Type II error may have been committed.
C) a Type I error must have been committed.
D) a Type I error may have been committed.

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

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The average manufacturing work week in metropolitan Chattanooga was 40.1 hours last year.It is believed that the recession has led to a reduction in the average work week.To test the validity of this belief, the hypotheses are


A) H0: μ < 40.1 Ha: μ ≥ 40.1.
B) H0: μ ≥ 40.1 Ha: μ < 40.1.
C) H0: μ > 40.1 Ha: μ ≤ 40.1.
D) H0: μ = 40.1 Ha: μ ≠ 40.1.

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

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Read the t statistic from the t distribution table and circle the correct answer.For a one-tailed test (upper tail) with a sample size of 26 and at the .10 level, t =


A) 1.316.
B) -1.316.
C) -1.740.
D) 1.740.

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

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A two-tailed test is performed at the .05 level of significance.The p-value is determined to be .09.The null hypothesis


A) must be rejected.
B) should not be rejected.
C) could be rejected, depending on the sample size.
D) has been designed incorrectly.

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

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A random sample of 100 people was taken.Eighty-five of the people in the sample favored Candidate A.We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 80%.The p-value is


A) .2112.
B) .05.
C) .025.
D) .1056.

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

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A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years.We want to determine if the average age of all the students at the university is significantly more than 24.Assume the distribution of the population of ages is normal.The test statistic is


A) 1.96.
B) 2.00.
C) 1.65.
D) .05.

E) None of the above
F) All of the above

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The level of significance, in hypothesis testing, is the probability of


A) accepting a true null hypothesis.
B) accepting a false null hypothesis.
C) rejecting a true null hypothesis.
D) rejecting a false null hypothesis.

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

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If the cost of making a Type I error is high, a smaller value should be chosen for the​


A) ​critical value.
B) ​confidence coefficient.
C) ​level of significance.
D) ​test statistic.

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

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A juice drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of drink on an average.Any overfilling or underfilling results in the shutdown and readjustment of the machine.To determine whether or not the machine is properly adjusted, the correct set of hypotheses is


A) H0: μ\mu < 12 Ha: μ\mu\ge 12.
B) H0: μ\mu\leq 12 Ha: μ\mu > 12.
C) H0: μ\mu \neq 12 Ha: μ\mu = 12.
D) H0: μ\mu = 12 Ha: μ\mu \neq 12.

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

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In the hypothesis testing procedure, α is the


A) level of significance.
B) critical value.
C) confidence level.
D) p-value.

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

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Read the z statistic from the normal distribution table and circle the correct answer.For a two-tailed test using α = .1388, z =


A) 1.96.
B) 1.48.
C) 1.09.
D) .86.

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

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​For a sample size of 30, changing from using the standard normal distribution to using the t distribution in a hypothesis test,


A) ​will result in the area corresponding to the critical value being larger.
B) ​will result in the area corresponding to the critical value being smaller.
C) ​will have no effect on the area corresponding to the critical value.
D) ​Not enough information is given to answer this question.

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

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A school's newspaper reported that the proportion of students majoring in business is at least 30%.You plan on taking a sample to test the newspaper's claim.The correct set of hypotheses is


A) H0: p < .30 Ha: p \geq .30.
B) H0: p \leq .30 Ha: p > .30.
C) H0: p \geq .30 Ha: p < .30.
D) H0: p > .30 Ha: p \leq .30.

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

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For a one-tailed (upper tail) hypothesis test with a sample size of 18 and a .05 level of significance, the critical value of the test statistic t is​


A) ​1.645.
B) ​1.734.
C) ​1.740.
D) ​2.110.

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

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A grocery store has an average sales of $8000 per day.The store introduced several advertising campaigns in order to increase sales.To determine whether or not the advertising campaigns have been effective in increasing sales, a sample of 64 days of sales was selected.It was found that the average was $8300 per day.From past information, it is known that the standard deviation of the population is $1200.The value of the test statistic is


A) .25.
B) 80.00.
C) 8.25.
D) 2.00.

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

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The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles.Management believes that due to a new production process, the life expectancy of their tires has increased.In order to test the validity of their belief, the correct set of hypotheses is


A) H0: μ\mu < 40,000 Ha: μ\mu \geq 40,000.
B) H0: μ\mu\leq 40,000 Ha: μ\mu > 40,000.
C) H0: μ\mu > 40,000 Ha: μ\mu\leq 40,000.
D) H0: μ\mu \geq 40,000 Ha: μ\mu < 40,000.

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

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Two approaches to drawing a conclusion in a hypothesis test are ​


A) ​p-value and critical value.
B) ​one-tailed and two-tailed.
C) ​Type I and Type II.
D) ​null and alternative.

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

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For a lower tail test, the test statistic z is determined to be zero.The p-value for this test is


A) zero.
B) -.5.
C) +.5.
D) 1.

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

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What type of error occurs if you fail to reject H0 when, in fact, it is not true?


A) Type II
B) Type I
C) either Type I or Type II, depending on the level of significance
D) either Type I or Type II, depending on whether the test is one-tailed or two-tailed

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

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When the area corresponding to the critical value is in the lower tail of the sampling distribution, the p-value is the area under the curve​


A) ​less than or equal to the critical value.
B) ​less than or equal to the test statistic.
C) ​greater than or equal to the critical value.
D) ​greater than or equal to the test statistic.

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

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