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Final Review Answers

Final Review Answers.  = 368.   368. .05. 25 - 1 = 24. Reject H. Reject H. 0. 0. .025. .025. t. - 2.064. 0. 2.064. Two-Tailed t Test Solution -1. H 0 : H a :  = df = Critical Value(s):. Test Statistic: Decision:. Reject at  = .05. P-value = 0.  = 70.

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Final Review Answers

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  1. Final Review Answers

  2.  = 368  368 .05 25 - 1 = 24 Reject H Reject H 0 0 .025 .025 t -2.064 0 2.064 Two-Tailed t Test Solution -1 • H0: • Ha: •  = • df = • Critical Value(s): Test Statistic: Decision: Reject at  = .05 P-value = 0

  3.  = 70  70 .05 36 Reject H Reject H 0 0 .025 .025 -1.96 0 1.96 Z Two-Tailed Z Test Solution -2 • H0: • Ha: •  = • n = • Critical Value(s): Test Statistic: Decision: Do not reject at  = .05

  4.  = 32  < 32 .01 60 Reject .01 -2.33 0 Z One-Tailed Z Test Solution -3 • H0: • Ha: •  = • n = • Critical Value(s): Test Statistic: Decision: Reject at  = .01

  5.  = 3.25  3.25 .01 64 - 1 = 63 Reject H Reject H 0 0 .005 .005 t -2.656 0 2.656 Two-Tailed t Test Solution-4 • H0: • Ha: •  • df  • Critical Value(s): Test Statistic: Decision: Do not reject at  = .01

  6.  = 140  < 140 .05 20 - 1 = 19 Reject H0 .05 t -1.729 0 One-Tailed t Test Solution - 5 • H0: • Ha: •  = • df = • Critical Value(s): Test Statistic: Decision: Reject at  = .05

  7.  = 5 <5 .05 10 - 1 = 9 One-Tailed t Test Solution -6 • H0: • Ha: •  = • df = • Critical Value(s): Test Statistic: Decision: Do not reject at  = .05 Reject H0 .05 t 0 1.833

  8. p = .10 p < .10 .05 200 Reject H0 .05 -1.645 0 Z One-Proportion Z Test Solution - 7 • H0: • Ha: •  = • n = • Critical Value(s): Test Statistic: Decision: Reject at  = .05

  9. p = .04 p .04 .05 500 Reject H Reject H 0 0 .025 .025 -1.96 0 1.96 Z One-Proportion Z Test Solution - 8 • H0: • Ha: •  = • n = • Critical Value(s): Test Statistic: Decision: Do not reject at  = .05

  10. 9 • Miles per gallon ratings of cars before and after mounting radial tires - DEPENDENT • The life expectancy of light bulbs made in two different factories - INDEPENDENT • Difference in hardness between two metals: one contains an alloy, one doesn’t - INDEPENDENT • Tread life of two different motorcycle tires: one on the front, the other on the back - DEPENDENT

  11. 1 - 2 = 0 (1 = 2) 1 - 2 0 (1 2) .05 11 -1 = 10 Reject H Reject H 0 0 .025 .025 t -2.228 0 2.228 Small-Sample Test Solution 10-A • H0: • Ha: •  • df  • Critical Value(s): Test Statistic: Do not reject at  = .05

  12. 1 - 2 = 1% (1 = 2) 1 - 2< 1% (1 2) .05 11 -1= 10 Reject H0 .05 -1.812 0 t Small-Sample Test Solution 10-B • H0: • Ha: •  • df  • Critical Value(s): Test Statistic: Do not reject at  = .05

  13. Reject H Reject H 0 0 .05 .05 t 0 -1.761 1.761 Large-Sample Test Solution - 11 • H0: • Ha: •  • n1 = , n2 = • Critical Value(s): 1 - 2 = 0 (1 = 2) 1 - 2 0 (1 2) .10 1515 Do not reject at  = .10

  14. d = 0 (d = A- B) d < 0 .10 4 - 1 = 3 Reject H0 .10 t -1.638 0 Paired-Difference Solution-12 • H0: • Ha: •  = • df = • Critical Value(s):

  15. d = 1Sd = 6.53 Computation Table Observation Before After Difference Sam 85 94 9 Tamika 94 87 -7 Brian 78 79 1 Mike 87 88 1 Total 4

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

  17. p1 - p2 = 0 p1 - p2 0 .01 78 82 Reject H Reject H 0 0 .005 .005 z 0 -2.58 2.58 Test for Two Proportions Solution -13 • H0: • Ha: •  = • n1 = n2 = • Critical Value(s):

  18. Reject at  = .01

  19. pMA – pCA = 0 pMA – pCA < 0 .05 1500 1500 Reject H0 .05 -1.645 0 Z Test for Two Proportions Solution - 14 • H0: • Ha: •  = • nMA = nCA= • Critical Value(s):

  20. Reject at  = .05

  21. p1 = p2 = p3 = 1/3 At least 1 is different .05 63 45 72 Reject H0  = .05 c 2 0 5.991 2 Test for k Proportions Solution - 15 • H0: • Ha: •  = • n1 = n2 = n3 = • Critical Value(s):

  22. Rejectat  = .05

  23. No Relationship Relationship .05 (2 - 1)(2 - 1) = 1 Reject H0  = .05 c 2 0 3.841 2 Test of Independence Solution - 16 • H0: • Ha: •  = • df = • Critical Value(s):

  24. 112·78 160 112·82 160 48·78 160 48·82 160

  25. Reject at  = .05

  26. No Relationship Relationship .05 (2 - 1)(2 - 1) = 1 Reject H0  = .05 c 2 0 3.841 2 Test of Independence Solution -17 • H0: • Ha: •  = • df = • Critical Value(s):

  27. 116·132 286 154·132 286 170·132 286 170·154 286

  28. Reject at  = .05

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