Exam 10: One-Sample Tests of Hypothesis

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A statement about the value of a population parameter is called a ________________.

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A manufacturer claims that less than 1% of all its products do not meet the minimum government standards. A survey of 500 products revealed that 10 did not meet the standard. Thus, the null hypothesis is ___________________.

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For a two-tailed test with a 0.05 significance level, where is the rejection region when n is large and the population standard deviation is known?

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The average cost of tuition and room and board at small private liberal arts colleges is reported to be $8,500 per term, but a financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745. The population standard deviation is $1,200. Let α = 0.05. Based on the computed test statistic or p-value, what is our decision about the average cost?

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To conduct a test of hypothesis with a small sample, we make an assumption that __________.

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A ____________ hypothesis test is indicated if the alternate hypothesis does not specify a direction.

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A random sample of size 15 is selected from a normal population. The population standard deviation is unknown. Assume the null hypothesis indicates a two-tailed test and the researcher decided to use the 0.10 significance level. For what values of t will the null hypothesis not be rejected?

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A tire manufacturing company is reviewing 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. Test the hypothesis with a 0.05 significance level. What is our decision?

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Which of the following is NOT one of the five steps in the hypothesis testing procedure?

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A test statistic for a hypothesis, H0: µ = 10, computes the standardized difference between the hypothesized population mean and the ______________________.

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A manufacturer claims that less than 1% of all its products do not meet the minimum government standards. A survey of 500 products revealed that 10 did not meet the standard. The p-value is ______________.

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Based on the Nielsen ratings, the local CBS affiliate claims its 11 p.m. 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 = 0.01?

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What is the probability of making a Type II error if the null hypothesis is actually true?

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An electronics retailer believes that, at most, 40% of their cell phone inventory was sold during November. The retailer surveyed 80 dealers and found that 38% of the inventory was sold. Since 38% is less than 40%, is this difference of 2 percentage points sampling error or a significant difference? Test at the 0.05 level. The computed z = -0.37.

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

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It is claimed that in a bushel of peaches, less than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the p-value?

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

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Using a 5% level of significance and a sample size of 25, what is the critical t value for a null hypothesis, H0: µµ ≤ 100?

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The critical t statistic for an alternative hypothesis, H1: µ > 30, a 1% level of significance, and a sample size of 8 is __________.

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A null hypothesis makes a claim about a __________.

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