C do the data provide sufficient evidence to indicate

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c. Do the data provide sufficient evidence to indicate a difference among the population means? Test using α = .10. d. Find the approximate observed significance level for the test in part c , and interpret it. e. Suppose that Do the data provide sufficient evidence to indicate a difference between µ1 and µ2? Assume that there are six observations for each treatment. Test using α = .10 f. Refer to part b. Find a 90% confidence interval for (µ1 – µ2). g. Refer to part b. Find a 90% confidence interval for µ1.
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4. The data in the table below resulted from an experiment that utilized a completely randomized design. Treatment 1 Treatment 2 Treatment 3
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3.8 5.4 1.3 1.2 2.0 0.7
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4.1 4.8 2.2 5.5 3.8
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2.3 a. Use SPSS to generate an ANOVA analysis and attach a copy of the output: b. Test the null hypothesis that µ1 = µ2 = µ3, where µ i represents the true mean for treatment I, against the alternative that at least two of the means differ. Use α = .01. 5. An accounting firm that specializes in auditing the financial records of large corporations is interested in evaluating the appropriateness of the fees it charges for its
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services. As part of its evaluation, it wants to compare the costs it incurs in auditing corporations of different sizes. The accounting firm decided to measure the size of its client corporations in terms of their annual sales. Its population of client corporations was divided into three subpopulations, with A: Those with sales over $250 million B: Those with sales between $100 million and $250 million C: Those with sales under $100 million The firm chose random samples of 10 corporations from each of the subpopulations and determined the costs (in thousands of dollars) as shown in the table below; A
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B C 250 100 80 150
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150 125 275 75 20 100
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200 186 475 55 52 600
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80 92 150 110 88 800
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160 141 325 132 76 230
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233 200 a. Construct an ANOVA analysis. Conduct a test to determine whether the three classes of firms have different mean costs incurred in audits. Use α = .05. b. What is the observed significance level for the test in part b? Interpret it.
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