Question: 1. The Data includes two variables - salary ($) and training (yes/no). This is from a large corporation with 1,984 employees. Below is a random

  1. 1. The "Data" includes two variables - salary ($) and training (yes/no). This is from a large corporation with 1,984 employees.

Below is a random sample of a size between 90. "Random Samples" Salary Training Rand

  1. 50069.6 No 0.000516328
  2. 48584.6 No 0.001124347
  3. 47896.7 No 0.001874017
  4. 55082.9 No 0.002014409
  5. 49405.1 No 0.002656847
  6. 51959.9 No 0.002966445
  7. 46000.8 No 0.004295961
  8. 54770 No 0.00668665
  9. 52448.3 No 0.008079019
  10. 56283.4 No 0.008980647
  11. 47621.6 No 0.009937139
  12. 55827.1 No 0.011979597
  13. 55508.4 No 0.012005499
  14. 51813.3 No 0.014133095
  15. 47677.1 No 0.015616062
  16. 51081.8 No 0.016003207
  17. 49645.6 No 0.01730838
  18. 52684.4 No 0.017680563
  19. 50168.3 No 0.018066529
  20. 52748.6 No 0.018446816
  21. 51873.3 No 0.018588637
  22. 48437.7 No 0.020610869
  23. 54293 No 0.022001057
  24. 48369.6 No 0.022875226
  25. 50484.9 No 0.022892363
  26. 44298.6 No 0.024148643
  27. 47453.7 No 0.024843981
  28. 50264.3 No 0.025145143
  29. 52264 No 0.025224206
  30. 46561.3 No 0.025826393
  31. 48464.4 No 0.027272358
  32. 56592 No 0.028238145
  33. 51346.5 No 0.028423385
  34. 51745 No 0.029682881
  35. 48835.1 No 0.033900853
  36. 50498.2 No 0.034043933
  37. 48161.4 No 0.035560347
  38. 49544.6 No 0.038600135
  39. 56389.6 No 0.039132482
  40. 58609.4 Yes 0.000436993
  41. 53480.7 Yes 0.000482783
  42. 56870.1 Yes 0.003262588
  43. 54489.9 Yes 0.003913979
  44. 41198.8 Yes 0.004136441
  45. 55924 Yes 0.004184636
  46. 52375.1 Yes 0.004199368
  47. 50253.7 Yes 0.004327957
  48. 48322.6 Yes 0.004798664
  49. 52019.9 Yes 0.005219571
  50. 53878.7 Yes 0.006773009
  51. 58727.8 Yes 0.007228611
  52. 54284.1 Yes 0.008861164
  53. 51045.7 Yes 0.009495321
  54. 53966.8 Yes 0.009595281
  55. 54452 Yes 0.012328766
  56. 50120.8 Yes 0.012506199
  57. 52510 Yes 0.012811581
  58. 49518.3 Yes 0.013311789
  59. 52526.4 Yes 0.013478877
  60. 51633.6 Yes 0.015851862
  61. 50162.6 Yes 0.01634925
  62. 50925.7 Yes 0.016868651
  63. 46752.9 Yes 0.017011146
  64. 52725.4 Yes 0.01739268
  65. 50750.4 Yes 0.017475925
  66. 47207.9 Yes 0.017565707
  67. 59148.5 Yes 0.019177779
  68. 52134.8 Yes 0.020350536
  69. 54155.4 Yes 0.020810982
  70. 48794.8 Yes 0.021334747
  71. 52170.1 Yes 0.021344403
  72. 53740.4 Yes 0.021994666
  73. 56716.6 Yes 0.022416463
  74. 52152.6 Yes 0.024843598
  75. 49156 Yes 0.024961509
  76. 53938.7 Yes 0.026439758
  77. 51860.7 Yes 0.026729954
  78. 56805.9 Yes 0.026786107
  79. 46627.7 Yes 0.027073371
  80. 53363.7 Yes 0.028206329
  81. 59720.8 Yes 0.031246466
  82. 55563.9 Yes 0.03170739
  83. 58246.1 Yes 0.032904361
  84. 52801.6 Yes 0.033612257
  85. 54106.5 Yes 0.034540922
  86. 55537.7 Yes 0.036792409
  87. 46940.1 Yes 0.036900006
  88. 47895.7 Yes 0.038923709
  89. 48000.7 Yes 0.039025158
  90. 54405.3 Yes 0.039640554
  91. Based on the random sample in A), find out a point estimate of the proportion of the corporation employees with no training.
  92. Based on A), find out a point estimate of the mean salary of the corporation employees with no training.
  93. Develop a 90% confidence interval for the mean salary of the corporation employees with no training.
  94. Explain what your answer in (iv) means.

2.) Use the same random sample that you chose in 1(i).

  1. Test if the mean salary of the corporation employees with training is significantly different from the employees without training.
  2. Develop the appropriate hypotheses to test the claim.
  3. With a 5% level of significance, test the hypothesis.
  4. What can you conclude?

3.) A recent issue of a magazinereported that the average weekly pay for a woman with a high school diploma is $520. Suppose you would like to determine if the average weekly pay for all working women is significantly greater than the average weekly pay for women with a high school diploma. The weekly pay for a sample of 50 working women was collected and is given here.

  1. Develop the appropriate hypotheses to test the claim.
  2. With a 5% level of significance, test the hypothesis.
  3. What can you conclude?

Data for question 3:

629
523
320
685
599
753
553
641
290
800
696
627
679
667
542
619
950
614
548
570
678
697
750
569
679
598
596
557
657
617
1230
648
760
804
675
736
565
587
565
687
498
712
533
424
772
691

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