Exam 11: Inferences About Population Variances

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The average score of a sample of 30 students on their second statistics examination was 85 with a standard deviation of 11.Is the variance of the population significantly more than 80? Use a .05 level of significance.

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A sample of 22 bottles of soft drink showed a variance of .64 in their contents.At the 5% level, determine whether or not the standard deviation of the population is significantly different from .7 ounces.Use the critical value approach.

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A sample of 30 items provided a sample mean of 28 and a sample standard deviation of 6.Test the following hypotheses using α = .05.What is your conclusion? H0: σ2 ≤ 25 Ha: σ2 > 25

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The sampling distribution used when making inferences about a single population's variance is

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The symbol used for the variance of the sample is

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A random sample of 20 observations showed a standard deviation of 8.At a .05 level of significance, test to see if the variance of the population is significantly less than 65.Use the critical value approach.

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

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​Consider the following hypothesis problem. n = 30 H0: σ2 = 500 S2 = 625 Ha: σ2 ≠ 500 ​ At the 5% level of significance, the null hypothesis

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Consider the following hypothesis problem. ​ N = 23 S2 = 60 H0: σ2 ≤ 66 Ha: σ2 > 66 ​ If the test is to be performed at the .05 level of significance, the null hypothesis

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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 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 null hypothesis is

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The symbol used for the variance of the population is

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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 sample of 21 elements is selected to estimate a 90% confidence interval for the variance of the population.The chi-square value(s) to be used for this interval estimation is(are)

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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 S2 12)1 5 ​ The p-value is approximately

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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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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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A random sample of 22 employees of a local utility firm showed that their monthly incomes had a sample standard deviation of $110.Provide a 90% confidence interval estimate for the standard deviation of the incomes of all employees of the firm.

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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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