Exam 10: One-Sample Tests of Hypothesis

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It is claimed that in a bushel of peaches, less than ten percent are defective. A sample of 400 peaches is examined and 50 are found to be defective. If α\alpha = 0.025, what will be the decision?

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What is another name for the alternate hypothesis?

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What are the critical z-values for a two-tailed hypothesis test if α\alpha = 0.01?

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If the alternate hypothesis states that µ does not equal 4,000, what is the rejection region for the hypothesis test?

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A manufacturer wants to increase the absorption capacity of a sponge. Based on past data, the average sponge could absorb 3.5 ounces. After the redesign, the absorption amounts of a sample of sponges were (in ounces): 4.1, 3.7, 3.3, 3.5, 3.8, 3.9, 3.6, 3.8, 4.0, and 3.9. What is the decision rule at the 0.01 level of significance to test if the new design increased the absorption amount of the sponge?

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As the sample size increases, the curve of the t-distribution approaches the _____________________________.

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A test statistic is computed using ________________ information.

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A manufacturer claims that less than 1% of all his products do not meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard. What is the critical value, if the level of significance is 2%? ______

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One of the major U.S. tire makers wishes to review its warranty for their rainmaker tire. The warranty is for 40,000 miles. The distribution of tire wear is normally distributed with a population standard deviation of 15,000 miles. The tire company believes that the tire actually lasts more than 40,000 miles. A sample of 49 tires revealed that the mean number of miles is 45,000 miles. What is H0? ________________________

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It is claimed that in a bushel of peaches, less than ten percent are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the alternate hypothesis for a one-sided test?

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Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is your decision if α\alpha = 0.01?

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What is the test of hypothesis if no direction is specified under the alternate hypothesis? _____________

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The mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of $2,000. The ship building association wishes to find out whether their welders earn more or less than $20,000 annually. The alternate hypothesis is that the mean is not $20,000. If the level of significance is 0.10, what is the decision rule?

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The p-value is determined by the value of a _______________________.

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For a one-tail hypothesis test, the test statistic is z = -2.10. What is the p-value?

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The alternate hypothesis can be accepted only if the null hypothesis is shown to be _________.

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A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. If α\alpha = 0.05, what is the critical t value?

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A random sample of size 15 is selected from a normal population. The population standard deviation is unknown. Assume that a two-tailed test at the 0.10 significance level is to be used. For what value of t will the null hypothesis not be rejected?

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When planning an experiment, how is a significance level related to sample size?

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For a hypothesis test with an alternative hypothesis: µ > 6,700, where is the rejection region for the hypothesis test located?

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