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For QUESTIONS 8 to 13 use the following deseriptiaa of each brand were selected,

ID: 3206599 • Letter: F

Question

For QUESTIONS 8 to 13 use the following deseriptiaa of each brand were selected, and one cigarette from each pack was placed in a smoking machine to determine the tar content. An Analysis of variance war Performed and here are the results (some parts are hidden: F VALUE PR F 116 00000000 0.0028 io.OOO 428.00000000 s, The value of the F-statistic for testing the equality ofthe means is 9. The hypothesis would be rejected at a "005 ifthe test statistic is greater than: (d) 8,8 10. Which ofthe following is correct? (a) Because the p-value is small, there is evidence that all the brands differ from each other inthe mean amount of tar present. Because the p-value is small, there is no evidence that any of the brands differ in the mean tar content. (e) Because the p-value is small, there is evidence that at least one brand has a different mean tar content from the other brands. (d) Because the p value is small, there is no evidence that atleast one brand has a differen mean tar content from the other brands. (e) Because the p value is small, there isevidence that all ofbrands have the same mean tar content. Since the p-value is 0.0028 the hypothesis of equal means is rejected. Consequently, a multiple comparison procedure was performed. Here is a portion ofthe output T TESTS (LSD) FOR VARIABLE: TAR NOTE: THIS TEST CONTROLS THE TYPE I coMPARISONNISE ERROR RATE, THE EXPERIMENTWISE ALPHA 0.05 CRITICAL VALUE OF T-2.30600 LEAST SIGNIFICANT DIFFERENCE-5.9541 MEANS WITH THE SAME LETTER ARE NOT SIGNIFICANTLY DIFFERENT. GROUPING 122.000 3 Wheezer 112.000 3 Choker 110.000 3 Hacker 108.000 3 Killer 11. Which statement is not correct? (a) The comparison-wise error rate is the probability of a Type error in any comparison. The experiment-wise error rate is the probability ofat least one Type 1 error in all possible comparisons (c) There is no evidence ofa difference between the average tar content of the Hacker and Killer brands. (d) The Hacker brand appears to have lower mean tar content than the Choker brand. (e) Two sample means must differ by the Least Significant Difference (5.9541) before the corresponding population means are declared different.

Explanation / Answer

From questions 8 to 13 all of your parts are correct.

The calculated value of F (3,8)df at 5% level of significance is 4.07

You are on right track.

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