Exam 7: Hypothesis Testing

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There is one, and only one, correct method to perform a hypothesis test procedure.

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Using z the table found in Table E of Appendix C, the critical value for the right-tailed test with a=0.03a = 0.03 is 1.88.

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For the conjecture, "The average age of students in this class is 21," the null hypothesis is:

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A statistician believes that the standard deviation of the weights of firemen is less than 25 pounds. A sample of 20 firemen had a standard deviation of 23.2 pounds. Assume that the variable is normally Distributed with a=0.05a = 0.05 . What is the critical value?

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The Eagle Ridge Contractors' Association claims the average price of a home in their subdivision is $125,150, with a standard deviation of $7,350. A sample of 36 homes for sale in this subdivision had an average selling price of $123,550. Is there evidence that the costs of homes for sale in this subdivision are actually lower than claimed? -At a certain university, the average cost of books per student was $390 per student last semester. In a sample of 60 students this semester, their average cost was $425 with a standard deviation of $75. The Dean of Students believes that the costs are greater this semester. What is the test statistic for this Hypothesis?

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In a(n) __________, the null hypothesis should be rejected when the test value is in either of the two critical regions. ________________________________________

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A manufacturer claims that his television will have an average lifetime of at least five years. The standard deviation is seven months. 81 televisions are selected at random, and their average lifetime was found to be 59 months. Is the manufacturer correct? Use α=0.025\alpha = 0.025

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One of the assumptions for the chi-square test for a single variance is that the __________ must be normally distributed for the variable under study. ________________________________________

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We want to test to see if the mean time to complete a task is more than 60 minutes. A random sample of 100 people are selected and  alpha =.05\text { alpha } = .05 If the population standard deviation is 30 minutes, determine the power of the test if the population mean is 97 minutes.

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When a researcher fails to reject the null hypothesis, this does not mean that there is enough evidence to support the __________. ________________________________________

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