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*24. One facet of a company's expertise is the development of dielectric fluids in electrical equipment. Mineral oil-based dielectric fluids have been used more
*24. One facet of a company's expertise is the development of dielectric fluids in electrical equipment. Mineral oil-based dielectric fluids have been used more extensively than other dielectric fluids. Their only shortcomings are their relatively low flash and fire point. One study examined the fire point of mineral oil, high-molecular-weight hydrocarbon (HMWH), and silicone. The fire points for each of these fluids are recorded in the following table. Assume that the data are approximately normal. Complete parts a and b. Click the icon to view the sample data. a. Develop the appropriate ANOVA table to determine if there is a difference in the average fire points among the types of dielectric fluids. Use a significance level of 0.01. Identify the hypotheses for the test. Choose the correct answer below. OA. Ho: H1 H2 H3 HA: All of the population means are equal OB. Ho: H1 H2 H3 HA: At least two of the population means are equal OC. Ho H H =3 HA: All of the population means are different OD. Ho H = H3 HA: At least two of the population means are different State the decision rule at the = 0.01 level of significance. Select the correct choice below and fill in any answer boxes in your choice. (Round to three decimal places as needed.) A. If F> OB. If F < C. If F < Complete the ANOVA table. reject the null hypothesis. Otherwise, do not reject. , reject the null hypothesis. Otherwise, do not reject. or F> , reject the null hypothesis. Otherwise, do not reject. ANOVA Source of Variation SS df MS F P Between groups Within groups Total (Round to three decimal places as needed.) Reach a decision. (1) the null hypothesis. There is (2) evidence that (3) of the population means are (4). b. If warranted, use the Tukey-Kramer procedure to determine which populations have different mean fire points. Use an experiment-wide error rate of 0.01. Significant Difference Mineral Oil vs. HMWH (5) Mineral Oil vs. Silicone HMWH vs. Silicone (7) 1: Sample Data Fluid Mineral Oil Fire Points (C) 161 141 175 155 168 HMWH 304 319 305 302 309 Silicone 337 344 348 352 333 (1) Do not reject (2) sufficient Reject insufficient (3) at least two all (4) different. O equal. (5) No (6) Yes 00 Yes No (7) Procedure not warranted Procedure not warranted Yes No Procedure not warranted
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