Exam 9: Hypothesis Tests
Exam 1: Data and Statistics98 Questions
Exam 2: Descriptive Statistics: Tabular and Graphical Displays62 Questions
Exam 3: Descriptive Statistics: Numerical Measures173 Questions
Exam 4: Introduction to Probability138 Questions
Exam 5: Discrete Probability Distributions123 Questions
Exam 6: Continuous Probability Distributions174 Questions
Exam 7: Sampling and Sampling Distributions133 Questions
Exam 8: Interval Estimation137 Questions
Exam 9: Hypothesis Tests148 Questions
Exam 10: Inference About Means and Proportions With Two Populations121 Questions
Exam 11: Inferences About Population Variances90 Questions
Exam 12: Comparing Multiple Proportions, Test of Independence and Goodness of Fit90 Questions
Exam 13: Experimental Design and Analysis of Variance115 Questions
Exam 14: Simple Linear Regression146 Questions
Exam 15: Multiple Regression115 Questions
Exam 16: Regression Analysis: Model Building76 Questions
Exam 17: Time Series Analysis and Forecasting68 Questions
Exam 18: Nonparametric Methods81 Questions
Exam 19: Statistical Methods for Quality Control29 Questions
Exam 20: Index Numbers52 Questions
Exam 21: Decision Analysis on Website65 Questions
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Exhibit 9-3
n = 49
= 54.8
s = 28
H0:
50
Ha: > 50
-Refer to Exhibit 9-3. The p-value is between
(Multiple Choice)
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Consider the following hypothesis test:
Ho: p = 0.5
Ha: p 0.5
A sample of 800 provided a sample proportion of 0.58.
a.Determine the standard error of the proportion.
b.Compute the value of the test statistic.
c.Determine the p-value, and at 95% confidence, test the hypotheses.
(Essay)
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For a lower bounds one-tailed test, the test statistic z is determined to be zero. The p-value for this test is
(Multiple Choice)
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In hypothesis testing if the null hypothesis has been rejected when the alternative hypothesis has been true,
(Multiple Choice)
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The average U.S. daily internet use at home is two hours and twenty minutes. A sample of 64 homes in Soddy-Daisy showed an average usage of two hours and 50 minutes with a standard deviation of 80 minutes. We are interested in determining whether or not the average usage in Soddy-Daisy is significantly different from the U.S. average.
a.State the null and alternative hypotheses to be tested.
b.Compute the test statistic.
c.The null hypothesis is to be tested at 95% confidence. Determine the critical value(s) for this test.
d.What do you conclude?
(Essay)
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In a two-tailed hypothesis test the test statistic is determined to be Z = -2.5. The p-value for this test is
(Multiple Choice)
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Exhibit 9-4
The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes with a standard deviation of 0.5 minutes. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.
-Refer to Exhibit 9-4. The p-value is between
(Multiple Choice)
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For a two-tailed test, a sample of 20 at 80% confidence, t =
(Multiple Choice)
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A law enforcement agent believes that at least 88% of the drivers stopped on Saturday nights for speeding are under the influence of alcohol. A sample of 66 drivers who were stopped for speeding on a Saturday night was taken. Eighty percent of the drivers in the sample were under the influence of alcohol.
a.State the null and alternative hypotheses.
b.Compute the test statistic.
c.Using the p-value approach, test the hypotheses at the .05 level of significance.
(Essay)
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The average gasoline price of one of the major oil companies has been $2.20 per gallon. Because of cost reduction measures, it is believed that there has been a significant reduction in the average price. In order to test this belief, we randomly selected a sample of 36 of the company's gas stations and determined that the average price for the stations in the sample was $2.14. Assume that the standard deviation of the population ( ) is $0.12.
a.State the null and the alternative hypotheses.
b.Compute the test statistic.
c.What is the p-value associated with the above sample results?
d.At 95% confidence, test the company's claim.
(Essay)
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The average price of homes sold in the U.S. in 2012 was $240,000. A sample of 144 homes sold in Chattanooga in 2012 showed an average price of $246,000. It is known that the standard deviation of the population ( ) is $36,000. We are interested in determining whether or not the average price of homes sold in Chattanooga is significantly more than the national average.
a.State the null and alternative hypotheses to be tested.
b.Compute the test statistic.
c.The null hypothesis is to be tested at 95% confidence. Determine the critical value(s) for this test.
d.What do you conclude?
(Essay)
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A lathe is set to cut bars of steel into lengths of 6 centimeters. The lathe is considered to be in perfect adjustment if the average length of the bars it cuts is 6 centimeters. A sample of 121 bars is selected randomly and measured. It is determined that the average length of the bars in the sample is 6.08 centimeters with a standard deviation of 0.44 centimeters.
a.Formulate the hypotheses to determine whether or not the lathe is in perfect adjustment.
b.Compute the test statistic.
c.Using the p-value approach, what is your conclusion? Let = .05.
(Essay)
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Consider the following hypothesis test:
Ho: P
0.8
Ha: P > 0.8
A sample of 400 provided a sample proportion of 0.853.
a.Determine the standard error of the proportion.
b.Compute the value of the test statistic.
c.Determine the p-value; and at 95% confidence, test the above hypotheses.
(Essay)
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In hypothesis testing, the tentative assumption about the population parameter is
(Multiple Choice)
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When the following hypotheses are being tested at a level of significance of H0:
500
Ha: < 500
The null hypothesis will be rejected if the p-value is
(Multiple Choice)
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Last year, 50% of MNM, Inc. employees were female. It is believed that there has been a reduction in the percentage of females in the company. This year, in a random sample of 400 employees, 180 were female.
a.Give the null and the alternative hypotheses.
b.
b.At 95% confidence using the critical value approach, determine if there has been a significant reduction in the proportion of females.
c.Show that the p-value approach results in the same conclusion as that of Part
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