Exam 9: Fundamentals of Hypothesis Testing: One-Sample Tests
Exam 1: Defining and Collecting Data145 Questions
Exam 2: Organising and Visualising Data203 Questions
Exam 3: Numerical Descriptive Measures147 Questions
Exam 4: Basic Probability168 Questions
Exam 5: Some Important Discrete Probability Distributions172 Questions
Exam 6: The Normal Distribution and Other Continuous Distributions190 Questions
Exam 7: Sampling Distributions133 Questions
Exam 8: Confidence Interval Estimation186 Questions
Exam 9: Fundamentals of Hypothesis Testing: One-Sample Tests180 Questions
Exam 10: Hypothesis Testing: Two-Sample Tests175 Questions
Exam 11: Analysis of Variance148 Questions
Exam 12: Simple Linear Regression207 Questions
Exam 13: Introduction to Multiple Regression269 Questions
Exam 14: Time-Series Forecasting and Index Numbers201 Questions
Exam 15: Chi-Square Tests134 Questions
Exam 16: Multiple Regression Model Building93 Questions
Exam 17: Decision Making106 Questions
Exam 18: Statistical Applications in Quality Management119 Questions
Exam 19: Further Non-Parametric Tests50 Questions
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The marketing manager for a car manufacturer is interested in determining the proportion of new compact-car owners who would have purchased a passenger-side inflatable air bag if it had been available for an additional cost of $300.The manager believes from previous information that the proportion is 0.30.Suppose that a survey of 200 new compact-car owners is selected and 79 indicate that they would have purchased the inflatable air bags.
-If you were to conduct a test to determine whether there is evidence that the proportion is different from 0.30 and decided not to reject the null hypothesis,what conclusion could you draw?
(Multiple Choice)
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A major DVD rental chain is considering opening a new store in an area that currently does not have any such stores.The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area own DVD players.It conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have DVD players.
-The decision on the hypothesis test using a 5% level of significance is
(Multiple Choice)
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You have created a 95% confidence interval for with the result (10,15).
- What decision will you make if you test H0: = 16 versus H1: 16 at = 0.10?
(Multiple Choice)
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How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 60 tissues is the average number of tissues used during a cold.Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: = 52,s = 22.
- Suppose the test statistic does fall in the rejection region at = 0.05.Which of the following decision is correct?
(Multiple Choice)
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The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.She would now like to determine whether or not the mean age of her customers is greater than 30.If so,she plans to alter the entertainment to appeal to an older crowd.If not,no entertainment changes will be made.Suppose she found that the sample mean was 30.45 years and the sample standard deviation was 5 years.
-What is the p-value associated with the test statistic?
(Multiple Choice)
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Instruction 9-3
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a population standard deviation of 15 W. A consumer group has decided to try to discover if the claim appears true. They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.
-Referring to Instruction 9.3,the value of the test statistic is________.
(Short Answer)
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A sample is used to obtain a 95% confidence interval for the mean of a population.The confidence interval goes from 15 to 19.If the same sample had been used to test the null hypothesis that the mean of the population is equal to 20 versus the alternative hypothesis that the mean of the population differs from 20,the null hypothesis could be rejected at a level of significance of 0.10.
(True/False)
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Instruction 9-3
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a population standard deviation of 15 W. A consumer group has decided to try to discover if the claim appears true. They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.
-Referring to Instruction 9-3,what is the power of the test if the mean power consumption of all such microwave ovens is in fact 248 W using a 0.05 level of significance?
(Short Answer)
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Instruction 9-3
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a population standard deviation of 15 W. A consumer group has decided to try to discover if the claim appears true. They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.
-Referring to Instruction 9-3,for this test to be valid,it is necessary that the power consumption for microwave ovens has a normal distribution.
(True/False)
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A sample is used to obtain a 95% confidence interval for the mean of a population.The confidence interval goes from 15 to 19.If the same sample had been used to test the null hypothesis that the mean of the population is equal to 20 versus the alternative hypothesis that the mean of the population differs from 20,the null hypothesis could be accepted at a level of significance of 0.01.
(True/False)
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Instruction 9-8
A major home improvement store conducted its biggest brand recognition campaign in the company's history. A series of new television advertisements featuring well-known entertainers and sports figures were launched. A key metric for the success of television advertisements is the proportion of viewers who "like the ads a lot". A study of 1,189 adults who viewed the ads reported that 230 indicated that they "like the ads a lot". The percentage of a typical television advertisement receiving the "like the ads a lot" score is believed to be 22%. Company officials wanted to know if there is evidence that the series of television advertisements are less successful than the typical ad at a 0.01 level of significance.
-Referring to Instruction 9-8,the null hypothesis will be rejected if the test statistics is
(Multiple Choice)
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An entrepreneur is considering the purchase of a coin-operated laundry.The current owner claims that over the past five years,the average daily revenue was $675 with a standard deviation of $75.A sample of 30 days reveals a daily average revenue of $625.If you were to test the null hypothesis that the daily average revenue was $675,which test would you use?
(Multiple Choice)
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How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 60 tissues is the average number of tissues used during a cold.Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: = 52,s = 22.
- Suppose the test statistic does fall in the rejection region at = 0.05.Which of the following conclusion is correct?
(Multiple Choice)
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Suppose you want to test H0: ? ? 30 versus H1: ? ? 30.Which of the following possible sample results based on a sample of size 36 gives the strongest evidence to reject H0 in favour of H1?
(Multiple Choice)
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If a researcher accepts a false null hypothesis,she has made a ________error.
(Short Answer)
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Instruction 9-2
Microsoft Excel was used on a set of data involving the number of parasites found in a random sample of 46 Blue Tiger butterflies captured in Kakadu National Park. A biologist wants to know if the mean number of parasites per butterfly is greater than 20. She will make her decision using a test with a level of significance of 0.10. The following information was extracted from the Microsoft Excel output for the sample of 46 butterflies:
; Arithmetic Mean ; Standard Deviation ; Standard Error ;
Null Hypothesis: Test Statistic ;
One-Tailed Test Upper CriticalValue value ; Decision Reject.
-Referring to Instruction 9-2,the power of the test is ________if the mean number of parasites per butterfly on Blue Tiger butterflies in Kakadu National Park is 30 using a 0.05 level of significance and assuming that the population standard deviation is 25.92.
(Short Answer)
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Instruction 9-4
A drug company is considering marketing a new local anaesthetic. The effective time of the anaesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anaesthetic is such that the effective time should be normal with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anaesthetic; otherwise, it will continue to produce the older drug. A sample of size 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision.
-Referring to Instruction 9-4,what is the power of the test if the mean effective time of the anaesthetic is 7.5 using a 0.05 level of significance?
(Short Answer)
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"Is the intended sample size large enough to achieve the desired power of the test for the level of significance chosen?" should be among the questions asked when performing a hypothesis test.
(True/False)
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Instruction 9-4
A drug company is considering marketing a new local anaesthetic. The effective time of the anaesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anaesthetic is such that the effective time should be normal with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anaesthetic; otherwise, it will continue to produce the older drug. A sample of size 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision.
-Referring to Instruction 9-4,what is the probability of making a Type II error if the mean effective time of the anaesthetic is 7.0 using a 0.05 level of significance?
(Short Answer)
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