Exam 9: Hypothesis Tests

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"D" size batteries produced by MNM Corporation have had a life expectancy of 87 hours. Because of an improved production process, the company believes that there has been an increase in the life expectancy of its "D" size batteries. A sample of 36 batteries showed an average life of 88.5 hours. Assume from past information that it is known that the standard deviation of the population is 9 hours. a.Use a 0.01 level of significance, and test to determine if there has been an increase in the life expectancy of the "D" size batteries. b.What is the p-value associated with the sample results? What is your conclusion, based on the p-value?

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Exhibit 9-5 Exhibit 9-5    Assume population is normally distributed. -Refer to Exhibit 9-5. The p-value is equal to Assume population is normally distributed. -Refer to Exhibit 9-5. The p-value is equal to

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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.Using 0.05, what is the rejection rule? b.Determine the standard error of the proportion. c.Compute the value of the test statistic z. What is your conclusion? d.Determine the p-value.

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A p-value is the

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Read the t statistic from the table of t distributions and circle the correct answer. A two-tailed test, a sample of 20 at a .20 level of significance; t =

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Which of the following hypotheses applies to a situation where action must be taken both when H0 cannot be rejected and when H0 can be rejected?

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A student believes that the average grade on the final examination in statistics is at least 85. She plans on taking a sample to test her belief. The correct set of hypotheses is

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You are given the following information obtained from a random sample of 4 observations. You are given the following information obtained from a random sample of 4 observations.    At a .05 level of significance, use Excel to determine whether or not the mean of the population from which this sample was taken is significantly different from 48. (Assume the population is normally distributed.) At a .05 level of significance, use Excel to determine whether or not the mean of the population from which this sample was taken is significantly different from 48. (Assume the population is normally distributed.)

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Exhibit 9-2 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. The population standard deviation is known to be 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 9-2. At a .05 level of significance, it can be concluded that the mean of the population is

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For a two-tailed hypothesis test with a test statistic value of z = 2.05, the p-value is

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At a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening students is significantly different from 21. The average age of the students in the sample was 23 years. The population standard deviation is known to be 3.5 years. Determine whether or not the average age of the evening students is significantly different from 21. Use a 0.1 level of significance.

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The level of significance can be any

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Exhibit 9-2 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. The population standard deviation is known to be 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 9-2. The p-value is

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

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Exhibit 9-2 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. The population standard deviation is known to be 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 9-2. The test statistic is

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Two approaches to drawing a conclusion in a hypothesis test are

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In hypothesis testing, the alternative hypothesis is

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A manufacturer is considering a new production method. The current method produces 94% non-defective (good) parts. The new method will be implemented if it produces more non-defectives than the current method. Identify the hypotheses.

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A student believes that no more than 20% (i.e., 20%) of the students who finish a statistics course get an A. A random sample of 100 students was taken. Twenty-four percent of the students in the sample received A's. a.State the null and alternative hypotheses. b.Using a critical value, test the hypothesis at the 1% level of significance. c.Using a p-value, test the hypothesis at the 1% level of significance.

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Exhibit 9-5 Exhibit 9-5    Assume population is normally distributed. -Refer to Exhibit 9-5. If the test is done at a 2% level of significance, the null hypothesis should Assume population is normally distributed. -Refer to Exhibit 9-5. If the test is done at a 2% level of significance, the null hypothesis should

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