Exam 11: Inferences About Population Variances

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Based on the sample evidence below, we want to test the hypothesis that population A has a larger variance than population B. Sample A Sample B n 11 10 12.1 5 The p-value is approximately

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The contents of a sample of 26 cans of apple juice showed a standard deviation of .06 ounces.We are interested in testing whether the variance of the population is significantly more than .003.The test statistic is

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​In practice, the most frequently encountered hypothesis test about a population variance is a

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A sample of 61 observations yielded a sample standard deviation of 6.If we want to test H0: σ2 = 40, the test statistic is

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The critical value of F using α = .05 when there is a sample size of 21 for the sample with the smaller variance, and there is a sample size of 9 for the sample with the larger sample variance is

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The symbol used for the variance of the sample is

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The symbol used for the variance of the population is

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For a sample size of 21 at 95% confidence, the chi-square values needed for interval estimation are

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We are interested in testing whether the variance of a population is significantly more than 625.The null hypothesis for this test is

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Consider the following sample information from Population A and Population B. Sample A Sample B n 24 16 32 38 We want to test the hypothesis that the population variances are equal.The test statistic for this problem equals

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Consider the following hypothesis problem. n=23 =60 :=66 :>66 If the test is to be performed at the .05 level of significance, the null hypothesis

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A sample of 41 observations yielded a sample standard deviation of 5.If we want to test H0: σ2 = 20, the test statistic is

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Consider the following hypothesis problem. n=14 :\leq410 s=20 :>410 The null hypothesis is to be tested at the 5% level of significance.The critical value(s) from the chi-square distribution table is(are)

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A sample of n observations is taken from a normal population.The appropriate chi-square distribution has

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Consider the following hypothesis problem. n=23 =60 :=66 :>66 If the test is to be performed at the 5% level, the critical value(s) from the chi-square distribution table is(are)

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The sampling distribution of the ratio of independent sample variances extracted from two normal populations with equal variances is the

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The 99% confidence interval estimate for a population variance when a sample standard deviation of 12 is obtained from a sample of 10 items is

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To avoid the problem of not having access to Tables of F distribution when F values are needed for the lower tail, the numerator of the test statistic for a two-tailed test should be the one with

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Which of the following has an F distribution?

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The 90% confidence interval estimate of a population standard deviation when a sample variance of 50 is obtained from a sample of 15 items is

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