Exam 9: One-Sample Hypothesis Tests

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The process that produces Sonora Bars (a type of candy)is intended to produce bars with a mean weight of 56 gm.The process standard deviation is known to be 0.77 gm.A random sample of 49 candy bars yields a mean weight of 55.82 gm.Find the p-value for a test to see whether the candy bars are smaller than they are supposed to be.

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Ajax Peanut Butter's quality control allows 2 percent of the jars to exceed the quality standard for insect fragments.A sample of 150 jars from the current day's production reveals that 30 exceed the quality standard for insect fragments.Which is incorrect?

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The probability of a false positive is decreased if we reduce α.

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Compared to using α = .01,choosing α = .001 will make it less likely that a true null hypothesis will be rejected.

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Which of the following statements is true?

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In the hypothesis H0: μ = μ0,the value of μ0 is not derived from:

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Which of the following is incorrect?

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A smaller probability of Type II error implies higher power of the test.

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The researcher's null hypotheses is H0: σ2 ≤ 22.A sample of n = 25 items yields a sample variance of s2 = 28.5.The test statistic is:

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For a given Ho and level of significance,if you reject the H0 for a one tailed-test,you would also reject H0 for a two-tailed test.

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For a sample of nine items,the critical value of Student's t for a left-tailed test of a mean at α = .05 is -1.860.

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If we desire α = .10,then a p-value of .13 would lead us to reject the null hypothesis.

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The height of the power curve shows the probability of accepting a true null hypothesis.

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The process that produces Sonora Bars (a type of candy)is intended to produce bars with a mean weight of 56 gm.The process standard deviation is known to be 0.77 gm.A random sample of 49 candy bars yields a mean weight of 55.82 gm.Find the test statistic to see whether the candy bars are smaller than they are supposed to be.

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For a mean,we would expect the test statistic to be near zero if the null hypothesis is true.

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The Melodic Kortholt Company will change its current health plan if at least half the employees are dissatisfied with it.A trial sample of 25 employees shows that 16 are dissatisfied.For a right-tailed test,the test statistic would be:

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A power curve for a mean is at its lowest point when the true μ is very near μ0.

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Given that in a one-tail test you cannot reject H0,can you reject H0 in a two-tailed test at the same α?

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When testing the hypothesis H0: μ = 100 with n = 100 and σ2 = 100,we find that the sample mean is 97.The test statistic is:

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If the null and alternative hypotheses are H0: μ ≤ 100 and H1: μ > 100,the test is right-tailed.

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