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Final Review Answers

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Two-Tailed t Test Solution -1 H 0 : H a : = df = Critical Value(s): Test Statistic: Decision: = 368 = 24 t Reject H Reject at =.05 P-value = 0

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Two-Tailed Z Test Solution -2 H 0 : H a : = n = Critical Value(s): Test Statistic: Decision: = 70 Z Reject H Do not reject at =.05

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One-Tailed Z Test Solution -3 H 0 : H a : = n = Critical Value(s): Test Statistic: Decision: = 32 < Z Reject Reject at =.01

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Two-Tailed t Test Solution-4 H 0 : H a : df Critical Value(s): Test Statistic: Decision: = 3.25 = 63 t Reject H Do not reject at =.01

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One-Tailed t Test Solution - 5 H 0 : H a : = df = Critical Value(s): Test Statistic: Decision: = 140 < = 19 t Reject H 0 Reject at =.05

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One-Tailed t Test Solution -6 H 0 : H a : = df = Critical Value(s): Test Statistic: Decision: = 5 < = 9 t Reject H 0 Do not reject at =.05

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One-Proportion Z Test Solution - 7 H 0 : H a : = n = Critical Value(s): Test Statistic: Decision: p =.10 p < Z Reject H 0 Reject at =.05

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One-Proportion Z Test Solution - 8 H 0 : H a : = n = Critical Value(s): Test Statistic: Decision: p =.04 p Z Reject H Do not reject at =.05

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1.Miles per gallon ratings of cars before and after mounting radial tires - DEPENDENT 2.The life expectancy of light bulbs made in two different factories - INDEPENDENT 3.Difference in hardness between two metals: one contains an alloy, one doesn’t - INDEPENDENT 4.Tread life of two different motorcycle tires: one on the front, the other on the back - DEPENDENT 9

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H 0 : H a : df Critical Value(s): 1 - 2 = 0 ( 1 = 2 ) 1 - 2 0 ( 1 2 ) = 10 t Reject H Small-Sample Test Solution 10-A Test Statistic: Do not reject at =.05

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H 0 : H a : df Critical Value(s): 1 - 2 = 1% ( 1 = 2 ) 1 - 2 1% ( 1 2 ) = 10 Small-Sample Test Solution 10-B Test Statistic: Do not reject at =.05 t Reject H 0

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Large-Sample Test Solution - 11 H 0 : H a : n 1 =, n 2 = Critical Value(s): t Reject H 1 - 2 = 0 ( 1 = 2 ) 1 - 2 0 ( 1 2 ) Do not reject at =.10

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Paired-Difference Solution-12 H 0 : H a : = df = Critical Value(s): d = 0 ( d = A - B ) d < = 3 t Reject H 0

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Computation Table ObservationBeforeAfterDifference Sam85949 Tamika Brian78791 Mike87881 Total4 d = 1S d = 6.53

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Test Statistic: Decision: Do not reject at =.10

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H 0 : H a : = n 1 = n 2 = Critical Value(s): p 1 - p 2 = 0 p 1 - p 2 z Reject H Test for Two Proportions Solution -13

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Reject at =.01

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H 0 : H a : = n MA = n CA = Critical Value(s): p MA – p CA = 0 p MA – p CA < Z Reject H 0 Test for Two Proportions Solution - 14

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Reject at =.05

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H0: Ha: = n 1 = n 2 = n 3 = Critical Value(s): p 1 = p 2 = p 3 = 1/3 At least 1 is different =.05 2 0 Reject H 2 Test for k Proportions Solution - 15

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Reject at =.05

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2 Test of Independence Solution - 16 H 0 : H a : = df = Critical Value(s): No Relationship Relationship.05 (2 - 1)(2 - 1) = 1 2 0 Reject H =.05

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112· · · ·78 160

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Reject at =.05

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2 Test of Independence Solution -17 H 0 : H a : = df = Critical Value(s): No Relationship Relationship.05 (2 - 1)(2 - 1) = 1 2 0 Reject H =.05

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170· · · ·

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Reject at =.05

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