Exam 11: Inferences About Population Variances

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The manager of the service department of a local car dealership has noted that the service times of a sample of 16 new automobiles has a standard deviation of 5 minutes. A 95% confidence interval estimate for the variance of service times for all their new automobiles is

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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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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. At the .05 level of significance, the null hypothesis

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To avoid the problem of not having access to tables of the F distribution when a one-tailed test is required and with F values given for the lower tail, let​ the

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The chi-square value for a one-tailed (lower tail) test when the level of significance is .1 and the sample size is 15 is

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At α = .1, test to see if the population variances from which the following samples were drawn are equal.

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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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​Consider the following sample information from Population A and Population B. ​ ​Consider the following sample information from Population A and Population B. ​   ​​ We want to test the hypothesis that the population variances are equal. The test statistic for this problem equals ​​ We want to test the hypothesis that the population variances are equal. The test statistic for this problem equals

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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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The 95% confidence interval estimate of a population variance when a sample variance of 324 is obtained from a sample of 81 items is

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A sample of 61 elements is selected to estimate a 95% confidence interval for the variance of the population. The chi-square values to be used for this interval estimation are

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A random sample of 31 sales charge showed a sample standard deviation of $50. A 90% confidence interval estimate of the population standard deviation is

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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 p-value for this test is

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A sample of 20 cans of tomato juice showed a standard deviation of .4 ounces. A 95% confidence interval estimate of the variance for the population is

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At α = .1, test to see if the population variances from which the following samples were drawn are equal. At α = .1, test to see if the population variances from which the following samples were drawn are equal.

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​Consider the following sample information from Population A and Population B. ​ ​Consider the following sample information from Population A and Population B. ​   ​​ We want to test the hypothesis that the population variances are equal. The null hypothesis is to be tested at the 10% level of significance. The critical value from the F distribution table is ​​ We want to test the hypothesis that the population variances are equal. The null hypothesis is to be tested at the 10% level of significance. The critical value from the F distribution table is

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The symbol used for the variance of the sample is

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The chi-square value for a one-tailed (upper tail) hypothesis test at a 5% level of significance and a sample size of 25 is

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The random variable for a chi-square distribution may assume

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The value of F.05 with 8 numerator and 19 denominator degrees of freedom is

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