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Ch 13 Practice Problems

# Ch 13 Practice Problems - Chapter 13 Practice Problem 1...

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Unformatted text preview: Chapter 13: Practice Problem 1. Information regarding the ACT scores of samples of students in three different majors are given below. We want to test to determine whether there is a signiﬁcant difference in the means of the three populations. Major Management Finance Accounting 28 22 29 26 23 27 25 24 26 27 ' 22 28 Z 21 , 24 25 __ X: his“) 19 n"? 26 "5:43 26 i " ”n“ 27 27 28 __ ,_ 17 29 20 2. EXP—not) 17 28 20 5 = 17""- 23 24 28 28 29 Y Means 23 25 2-6 ' 5'“ Variances 18 6-?5 9.33 a. State the appropriate null and alternative hypotheses. Ho: )4: = 112. =J13 ' H“: ”0+ all ﬁne Wan! are 37““! b. Compute the between-treatments estimate of population variance. 37:: n,3<j+nz;?z+n37; = 10(23)+39r29)+13(25 22:4?8 ] 2 7OT 3 _ 7.. 55m = Z nJ- (3'6“,- - 7:)": lo (25 —29.?s)‘+9(25— 29.98)‘+13{25- 2‘1- m Msm =§.§I§ = 5“” = 525.13 A", K—l 3., ”t“ c. Compute the Within-treatments estimate of population variance. 555:502, .4) 5.": {:a- 1) (I8) + [7-1) (6- W) + ((3—1) {9. 33) =32? 76 i __.—‘-—l_- 32?-?6 .— .... [1.31 Rn: ”1"" 32-3 —_ d. Find the value of the test statistic. ”SE [1.31 ﬁns e. What is the conclusion at 5% level of signiﬁcance? EH Fast? 293= 3-33 Sim? _4 4— 'Do NOT REJECT H, f. What' is the conclusion at 1% level of signiﬁcance? =50, [2 .29): 5 42 ' ' RE ECT H m — _ W W 7 ° g. Construct the ANOVA table :09 recs Mean 5”” 0? Jam Sewer?! F F =50; 5W was) in ms) v Weatm is 51 in: 2 - @513 “-223 .333 a, u. . .- Emrr .. . 321% - - .2? --H.31 Tofu! ..... 3?9.93-~---31....,_ ...
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Ch 13 Practice Problems - Chapter 13 Practice Problem 1...

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