ssrs 2012 barcode font Method I Method II Method III 75 81 73 62 85 79 71 68 60 58 92 75 73 90 81 in Software

Creator QR Code in Software Method I Method II Method III 75 81 73 62 85 79 71 68 60 58 92 75 73 90 81

Table 9-36 Method I Method II Method III 75 81 73 62 85 79 71 68 60 58 92 75 73 90 81
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Modifications for unequal numbers of observations
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9.26. Table 9-37 gives the numbers of miles to the gallon obtained by similar automobiles using 5 different brands of gasoline. Test at the (a) 0.05, (b) 0.01 level of significance whether there is any significant difference in brands.
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Table 9-37 Brand A Brand B Brand C Brand D Brand E 12 14 11 15 10 15 12 12 18 12 14 15 10 16 14 14 17 12 14 11 15 Mathematics Science English Economics
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Table 9-38 72 81 88 74 80 74 82 71 83 77 90 77 87 70 80 75
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9.27. During one semester a student received grades in various subjects as shown in Table 9-38. Test at the (a) 0.05, (b) 0.01 levels whether there is any significant difference in his grades in these subjects.
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Two-way classification or two-factor experiments
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9.28. Articles manufactured by a company are produced by 3 operators using 3 different machines. The manufacturer wishes to determine whether there is a difference (a) between operators, (b) between machines. An experiment is performed to determine the number of articles per day produced by each operator using each machine; the results are given in Table 9-39. Provide the desired information using a level of significance of 0.05.
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Operator 1 Machine A Machine B Machine C 23 34 28
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Table 9-39 Operator 2 27 30 25
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Operator 3 24 28 27
CHAPTER 9 Analysis of Variance
9.29. Work Problem 9.28 using a 0.01 level of significance. 9.30. Seeds of 4 different types of corn are planted in 5 blocks. Each block is divided into 4 plots, which are then randomly assigned to the 4 types. Test at a 0.05 level whether the yields in bushels per acre, as shown in Table 9-40, vary significantly with (a) soil differences (i.e., the 5 blocks), (b) differences in type of corn.
Table 9-40 TYPES OF CORN I II III A B BLOCKS C D E 12 15 14 11 16 15 19 18 16 17 10 12 15 12 11
IV 14 11 12 16 14
9.31. Work Problem 9.30 using a 0.01 level of significance. 9.32. Suppose that in Problem 9.24 the first observation for each type of tire is made using one particular kind of automobile, the second observation using a second particular kind, and so on. Test at the 0.05 level if there is a difference in (a) the types of tires, (b) the kinds of automobiles. 9.33. Work Problem 9.32 using a 0.01 level of significance. 9.34. Suppose that in Problem 9.25 the first entry for each teaching method corresponds to a student at one particular school, the second to a student at another school, and so on. Test the hypothesis at the 0.05 level that there is a difference in (a) teaching methods, (b) schools. 9.35. An experiment is performed to test whether color of hair and heights of adult female students in the United States have any bearing on scholastic achievement. The results are given in Table 9-41, where the numbers indicate individuals in the top 10% of those graduating. Analyze the experiment at a 0.05 level.
Table 9-41 Redhead Blonde Tall Medium Short 75 81 73 78 76 75
Brunette 80 79 77
9.36. Work Problem 9.35 at a 0.01 level.
Two-factor experiments with replication
9.37. Suppose that the experiment of Problem 9.23 was carried out in the southern part of the United States and that the columns of Table 9-34 now indicate 4 different types of fertilizer, while a similar experiment performed in the western part yields the results in Table 9-42. Test at the 0.05 level whether there is a difference in (a) fertilizers, (b) locations.
CHAPTER 9 Analysis of Variance
Table 9-42 A B C D E 16 15 21 18 17 18 17 19 22 18 20 16 18 21 24 23 19 21 23 20
9.38. Work Problem 9.37 using a 0.01 level. 9.39. Table 9-43 gives the number of articles produced by 4 different operators working on two different types of machines, I and II, on different days of the week. Determine at the 0.05 level whether there are significant differences in (a) the operators, (b) the machines. Table 9-43 Machine I Operator A Operator B Operator C Operator D Mon 15 12 14 19 Tues 18 16 17 16 Wed 17 14 18 21 Thurs 20 18 16 23 Fri 12 11 13 18 Mon 14 11 12 17 Tues 16 15 14 15 Machine II Wed 18 12 16 18 Thurs 17 16 14 20 Fri 15 12 11 17
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