Exam 10: Hypothesis Tests Regarding a Parameter
Exam 1: Data Collection34 Questions
Exam 2: Organizing and Summarizing Data30 Questions
Exam 3: Numerically Summarizing Data66 Questions
Exam 4: Describing the Relation Between Two Variables92 Questions
Exam 5: Probability91 Questions
Exam 6: Discrete Probability Distributions32 Questions
Exam 7: The Normal Probability Distributions36 Questions
Exam 8: Sampling Distributions12 Questions
Exam 9: Estimating the Value of a Parameter Using Confidence Intervals24 Questions
Exam 10: Hypothesis Tests Regarding a Parameter36 Questions
Exam 11: Inference on Two Samples65 Questions
Exam 12: Inference on Categorical Data16 Questions
Exam 13: Comparing Three or More Means15 Questions
Exam 14: Inference of the Least-Squares Regression Model28 Questions
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Find the test statistic
for a sample with n = 12,
= 27.2, s = 2.2, and ? = 0.01 if
Round your answer to three decimal places.



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(Multiple Choice)
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Correct Answer:
C
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed and the parameter that is being tested.
-

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(Multiple Choice)
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Correct Answer:
C
The weights (in ounces) of a sample of tomatoes of a particular variety are summarized in the boxplot below. Based on the boxplot, is a large sample necessary to conduct a hypothesis test about the mean weight? If so, why? 

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(Multiple Choice)
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Correct Answer:
B
If I specify ? to be equal to 0. 29, then the value of ? must be 0. 71.
(True/False)
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A method currently used by doctors to screen women for possible breast cancer fails to detect cancer in 20% of the women who actually have the disease. A new method has been developed that researchers hope will be able to detect cancer more accurately. A random sample of 90 women known to have breast cancer were screened using the new method. Of these, the new method failed to detect cancer in 10. Is the sample size sufficiently large in order to conduct this test of hypothesis? Explain. Round to the nearest thousandth.
(Essay)
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In 2010, the mean expenditure for auto insurance in a certain state was $806. An insurance salesperson in this state believes that the mean expenditure for auto insurance is less today. She obtains a simple random sample of 32 auto insurance policies and determines the mean expenditure to be $781 with a standard deviation of $39.13. Is there enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2010 amount at the ? = 0.05 level of significance?
(Essay)
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Find the test statistic
for a sample with n = 15,
= 10.6, s = 0.8, and
if
Round your answer to three decimal places.




(Multiple Choice)
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Determine the test statistic, z, to test the claim about the population proportion p ? 0.700 given
and
Use 



(Multiple Choice)
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A nationwide survey claimed that at least 55% of parents with young children condone spanking their child as a regular form of punishment. In a random sample of 100 parents with young children, how many would need to say that they condone spanking as a form of punishment in order to refute the claim at 

(Multiple Choice)
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The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed and the parameter that is being tested.
-

(Multiple Choice)
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A relative frequency histogram for the sale prices of homes sold in one city during 2010 is shown below. Based on the histogram, is a large sample necessary to conduct a hypothesis test about the mean sale price? If so, why? 

(Multiple Choice)
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The ages of a group of patients being treated at one hospital for osteoporosis are summarized in the frequency histogram below. Based on the histogram, is a large sample necessary to conduct a hypothesis test about the mean age? If so, why? 

(Multiple Choice)
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Use a t-test to test the claim μ < 5.9 at α = 0.10, given the sample statistics n = 20,
, and
Round the test statistic to the nearest thousandth.


(Essay)
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Use a t-test to test the claim μ = 23 at α = 0.01, given the sample statistics n = 12,
= 24.2, and
Round the test statistic to the nearest thousandth.


(Essay)
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The dean of a major university claims that the mean number of hours students study at her University (per day) is at most 3.4 hours. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?
(Multiple Choice)
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Use a t-test to test the claim μ = 24.1 at α = 0.01, given the sample statistics n = 12,
= 23.6, and
Round the test statistic to the nearest thousandth.


(Essay)
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We never conclude "Accept
" in a test of hypothesis. This is because:

(Multiple Choice)
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The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed and the parameter that is being tested.
-

(Multiple Choice)
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A method currently used by doctors to screen women for possible breast cancer fails to detect cancer in 15% of the women who actually have the disease. A new method has been developed that researchers hope will be able to detect cancer more accurately. A random sample of 70 women known to have breast cancer were screened using the new method. Of these, the new method failed to detect cancer in 8. Calculate the test statistic used by the researchers for this test of hypothesis. Round to the nearest thousandth.
(Essay)
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A pharmaceutical company manufactures a 81-mg pain reliever. Company specifications include that the standard deviation of the amount of the active ingredient must not exceed 2 mg. The quality-control manager selects a random sample of 30 tablets from a certain batch and finds that the standard deviation is 2.4 mg. Assume that the amount of the active ingredient is normally distributed. Test the claim that the standard deviation of the amount of the active ingredient is greater than 2 mg at the ? = 0.05 level of significance.
(Essay)
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