Exam 11: Inferences About Population Variances

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We are interested in determining whether or not the variances of the sales at two small grocery stores are equal.A sample of 21 days of sales at Store A and a sample of 16 days of sales at Store B indicated the following. We are interested in determining whether or not the variances of the sales at two small grocery stores are equal.A sample of 21 days of sales at Store A and a sample of 16 days of sales at Store B indicated the following.     a.Provide the hypotheses to be tested. b.Compute the test statistic. c.Determine the critical value of F at 95% confidence. d.Compute the p-value and use it to test the above hypotheses. a.Provide the hypotheses to be tested. b.Compute the test statistic. c.Determine the critical value of F at 95% confidence. d.Compute the p-value and use it to test the above hypotheses.

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A lumber company has claimed that the standard deviation for the lengths of their 6 foot boards is 0.5 inches or less.To test their claim,a random sample of 17 six-foot boards is selected;and it is determined that the standard deviation of the sample is 0.4.Do the results of the sample support the company's claim? Use α\alpha = 0.1.

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Exhibit 11-4 Exhibit 11-4    -Refer to Exhibit 11-4.At 95% confidence,the null hypothesis -Refer to Exhibit 11-4.At 95% confidence,the null hypothesis

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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\alpha = 0.05.What is your conclusion?  A sample of 30 items provided a sample mean of 28 and a sample standard deviation of 6.Test the following hypotheses using  \alpha = 0.05.What is your conclusion?

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The sampling distribution of the quantity (n-1)s2/ σ\sigma 2is the

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Exhibit 11-3 The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces.We are interested in testing to determine whether the variance of the population is significantly more than 0.003. -Refer to Exhibit 11-3.The null hypothesis is

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Exhibit 11-5 Exhibit 11-5    -Refer to Exhibit 11-5.The null hypothesis is to be tested at the 5% level of significance.The critical value(s)from the table is(are) -Refer to Exhibit 11-5.The null hypothesis is to be tested at the 5% level of significance.The critical value(s)from the table is(are)

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Exhibit 11-3 The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces.We are interested in testing to determine whether the variance of the population is significantly more than 0.003. -Refer to Exhibit 11-3.The p-value for this test is

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The producer of a certain medicine claims that their bottling equipment is very accurate and that the standard deviation of all their filled bottles is 0.1 ounce or less.A sample of 20 bottles showed a standard deviation of 0.11.The test statistic to test the claim is

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You are given the following data regarding a sample.  You are given the following data regarding a sample.     a.Compute the mean and the variance. b.Using the critical value approach,test to determine if the variance of the population from which this sample is taken is significantly more than 12.Let  \alpha  = 0.05. a.Compute the mean and the variance. b.Using the critical value approach,test to determine if the variance of the population from which this sample is taken is significantly more than 12.Let α\alpha = 0.05.

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The random variable for a chi-square distribution may assume

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