Q1) For the samples summarized below, test hypothesis at =.05 that two variances are equal.
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Variance
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Number of data values
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Sample 1
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30
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9
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Sample 2
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10
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19
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a) Reject the hypothesis because the test value 9.00 is greater than the critical value 2.51.
b) Do not reject the hypothesis as the test value 9.00 is greater than the critical value 3.01.
c) Do not reject the hypothesis as the test value 3.00 is less than the critical value 3.01.
d) Reject hypothesis as test value 3.00 is greater than the critical value 2.51.
Q2) A bond analyst is analyzing interest rates for corresponding municipal bonds issued by two different states. At α = .05, is there a difference in interest rates paid by two states?
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State A
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State B
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Sample size
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80
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70
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Mean interest rate (%)
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3.7
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4.25
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Sample variance
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0.02
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0.03
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a) No, as the test value -0.02 is inside interval (-1.96, 1.96)
b) Yes, as the test value 445.79 is outside interval (-1.96, 1.96)
c) Yes, as the test value -21.11 is outside interval (-1.96, 1.96)
d) Yes, as the test value -8.11 is outside interval (-1.96, 1.96)
Q3) One poll found that 44% of male voters will support applicant whereas another found that 50% of female voters will be in support. To test whether this applicant has equal levels of support between male and female voters, alternative hypothesis must be
a) H1:Pmale < 50% , H1 :pFemale >50%
b) H1:Pmale ≠ 44% , H1 :pFemale ≠50%
c) H1:Pmale ≠ pFemale
d) H1:Pmale = pFemale