BA6933 Chapter 9 quiz

  1. A meteorologist stated that the average temperature during July in Chattanooga was 80 degrees. A sample of July temperatures over a 32-year period was taken. The correct set of hypotheses is _____.                H0: μ = 80 Ha: μ ≠ 80
  2. A one-tailed test (lower tail) at a .063 level of significance has a z value of _____.  -1.53
  3. A one-tailed test (upper tail) at a .123 level of significance has a z value of _____.  1.16
  4. A one-tailed test is a hypothesis test in which rejection region is _____.   in one tail of the sampling distribution
  5. A one-tailed test is a hypothesis test in which rejection region is _____.                                                      in one tail of the sampling distribution
  6. A p-value is the _____.   probability, when the null hypothesis is true, of obtaining a sample result that is at least as unlikely as what is observed
  7. A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. Any overfilling or underfilling results in the shutdown and readjustment of the machine. To determine whether or not the machine is properly adjusted, the correct set of hypotheses is _____.  H0: μ = 12 Ha: μ ≠ 12
  8. A student believes that the average grade on the final examination in statistics is at least 85. She plans on taking a sample to test her belief. The correct set of hypotheses is _____.                              H0: μ ≥ 85 Ha: μ < 85
  9. A two-tailed test at a 0.0910 level of significance has z values of _____.  –1.69 and 1.69
  10. A two-tailed test is performed at a 5% level of significance. The p-value is determined to be .09. The null hypothesis _____.  should not be rejected
  11. A Type I error is committed when _____.   a true null hypothesis is rejected
  12. A Type I error is committed when _____.   a true null hypothesis is rejected
  13. A Type II error is committed when _____.  a true alternative hypothesis is mistakenly rejected
  14. An example of statistical inference is   hypothesis testing
  15. As a general guideline, the research hypothesis should be stated as the _____.   alternative hypothesis
  16. As a general guideline, the research hypothesis should be stated as the _____.  alternative hypothesis
  17. Excel’s __________ function can be used to calculate a p-value for a hypothesis test.  NORM.S.DIST
  18. Excel’s __________ function can be used to calculate a p-value for a hypothesis test when σ is unknown.  T.DIST
  19. For a one-tailed test (lower tail) with a sample size of 10 and a .10 level of significance the t value is _____.  1.372
  20. For a one-tailed test (upper tail) with a sample size of 900, the null hypothesis will be rejected at the .05 level of significance if the test statistic is _____   greater than or equal to 1.645
  21. For a sample size of 30, changing from using the standard normal distribution to using the t distribution in a hypothesis test _____.  will result in the rejection region being smaller
  22. For a two-tailed hypothesis test about a population mean, the null hypothesis can be rejected if the confidence interval _____.    does not include µ0
  23. For a two-tailed hypothesis test about μ, we can use any of the following approaches EXCEPT compare the _____ to the _____.   level of signifance; confidence coefficient
  24. For a two-tailed hypothesis test with a test statistic value of z = 2.05, the p-value is _____.  0.404
  25. For a two-tailed test with a sample size of 40, the null hypothesis will NOT be rejected at a 5% level of significance if the test statistic is _____.  between -1.96 and 1.96, exclusively
  26. For a two-tailed test, with a sample size of 20 and a 0.05 level of significance, the t value is  2.093
  27. If a hypothesis is not rejected at a 5% level of significance, it will _____.  also not be rejected at the 1% level
  28. If a hypothesis is rejected at a 5% level of significance, it _   may be rejected or not rejected at the 1% level
  29. If a hypothesis is rejected at a 5% level of significance, it _____.  may be rejected or not rejected at the 1% level
  30. If a hypothesis test has a Type I error probability of .05, that means if the null hypothesis is _____.   true, it will be rejected 5% of the time
  31. If a hypothesis test leads to the rejection of the null hypothesis, a _____.   Type 1 error must have neem committed
  32. If a hypothesis test leads to the rejection of the null hypothesis, a _____   Type I error may have been committed
  33. If the cost of a Type I error is high, a smaller value should be chosen for the _____.                            level of significance
  34. In a two-tailed hypothesis test, the null hypothesis should be rejected if the p-value is _____.  less than or equal to a
  35. In a two-tailed hypothesis test, the null hypothesis should be rejected if the p-value is _____.  less than or equal to α
  36. In hypothesis testing if the null hypothesis is rejected, _____.  the evidence supports the alternative hypothesis
  37. In hypothesis testing, if the null hypothesis has been rejected when the alternative hypothesis has been true, _____.   the correct decision has been made
  38. In hypothesis testing, the alternative hypothesis is _____.   the hpothesis concluded to be true if the null hypothesis is rejected
  39. In hypothesis testing, the critical value is _____.  number that establishes the boundary of the rejection region
  40. In hypothesis testing, the hypothesis tentatively assumed to be true is _____.    the null hypothesis
  41. In hypothesis testing, the hypothesis tentatively assumed to be true is _____.                                  the null hypothesis
  42. In order to test the hypotheses H0: μ ≤ 100 and Ha: μ > 100 at an α level of significance, the null hypothesis will be rejected if the test statistic z is _____.  ≥ zα
  43. In tests about a population proportion, p0 represents the _____.     hypothesized population proportion
  44. In the hypothesis testing procedure, α is _____.     the level of significance
  45. In the hypothesis testing procedure, α is _____.  the level of significance
  46. In the past, 75% of the tourists who visited Chattanooga went to see Rock City. The management of Rock City recently undertook an extensive promotional campaign. They are interested in determining whether the promotional campaign actually INCREASED the proportion of tourists visiting Rock City. The correct set of hypotheses is _____.  H0: p ≤ .75 Ha: p > .75
  47. More evidence against H0 is indicated by _____.  smaller p-values
  48. Read the t statistic from the table of t distributions and circle the correct answer. A two-tailed test, a sample of 20 at a .20 level of significance; t = _____.  1.328
  49. Read the t statistic from the table of t distributions and circle the correct answer. A one-tailed test (upper tail), a sample size of 18 at a .05 level of significance; t = _____.  1.740
  50. Read the t statistic from the table of t distributions and circle the correct answer. A one-tailed test (lower tail), a sample size of 10 at a .10 level of significance; t = _____.  -1.383
  51. Read the z statistic from the normal distribution table and circle the correct answer. A one-tailed test (lower tail) at a .063 level of significance; z = _____.  -1.53
  52. Read the z statistic from the normal distribution table and circle the correct answer. A one-tailed test (upper tail) at a .123 level of significance; z = _____.  1.16
  53. Read the z statistics from the normal distribution table and circle the correct answer. A two-tailed test at a .0694 level of significance; z = _____.   -1.48 and 1.48
  54. Refer to Exhibit 9-1. If the test is done at a .05 level of significance, the null hypothesis should _____.  be rejected
  55. Refer to Exhibit 9-1. The p-value is _____.  0.0107
  56. Refer to Exhibit 9-1. The test statistic equals _____.      2.3
  57. Refer to Exhibit 9-2. At a .05 level of significance, it can be concluded that the mean of the population is _____.  significntly greater 3
  58. Refer to Exhibit 9-2. The p-value is _____.    0.0228
  59. Refer to Exhibit 9-2. The test statistic is _____.   2.00
  60. Refer to Exhibit 9-3. If the test is done at a 5% level of significance, the null hypothesis should _____.     not be rejected
  61.  Refer to Exhibit 9-3. The p-value is equal to _____.          0.2302
  62. Refer to Exhibit 9-3. The test statistic equals _____.   1.2
  63. Refer to Exhibit 9-4. At a .05 level of significance, it can be concluded that the mean age is _____.     not signifantly different from 24
  64. Refer to Exhibit 9-4. The test statistic is _____.  2.00
  65. Refer to Exhibit 9-5. If the test is done at a 2% level of significance, the null hypothesis should _____.     not be rejected
  66. Refer to Exhibit 9-5. The p-value is equal to _____.    0.0166
  67. Refer to Exhibit 9-5. The test statistic equals _____.   -2.131
  68. Refer to Exhibit 9-6. At a .05 level of significance, it can be concluded that the proportion of the population in favor of candidate A is _____.  not significantly greater than 75%
  69. Refer to Exhibit 9-6. The p-value is _____.   0.1251
  70. Refer to Exhibit 9-6. The test statistic is _____.   1.25
  71. The academic planner of a university thinks that at least 35% of the entire student body attends summer school. The correct set of hypotheses to test his belief is _____.  H0: p ≥ .35 Ha: p < .35
  72. The average life expectancy of tires produced by Whitney Tire Company has been 40,000 miles. Management believes that due to a new production process, the life expectancy of its tires has increased. In order to test the validity of this belief, the correct set of hypotheses is _____.                H0: μ ≤ 40,000 Ha: μ > 40,000
  73. The error of rejecting a true null hypothesis is _____.   a type 1 error
  74. The error of rejecting a true null hypothesis is _____.   a Type I error
  75. The level of significance in hypothesis testing is the probability of _____.  rejecting a true null hypothesis
  76. The level of significance is symbolized by _____.    α
  77. The level of significance is symbolized by _____.   A
  78. The level of significance is the _____.   maximum allowable probability of a Type I error
  79. The level of significance is the _____.  maximum allowable probability of a type 1 error
  80. The manager of an automobile dealership is considering a new bonus plan in order to increase sales. Currently, the mean sales rate per salesperson is five automobiles per month. The correct set of hypotheses for testing the effect of the bonus plan is _____.   H0: μ ≤ 5 Ha: μ > 5
  81. The practice of concluding “do not reject H0” is preferred over “accept H0” when we _____.  have not controlled for the Type 2 error
  82. The probability of making a Type I error is denoted by _____.  α
  83. The rejection region for a one-tailed hypothesis test _____.  is in the tail that supports the alternative hypothesis
  84. The school’s newspaper reported that the proportion of students majoring in business is at least 30%. You plan on taking a sample to test the newspaper’s claim. The correct set of hypotheses is _____.  H0: p ≥ .30 Ha: p < .30
  85. The smaller the p-value, the _____.    greater the evidence against H0
  86. The value added and subtracted from a point estimate in order to develop an interval estimate of the population parameter is known as the   margin of error
  87. Two approaches to drawing a conclusion in a hypothesis test are _____.  one-tailed and two-tailed
  88. Two approaches to drawing a conclusion in a hypothesis test are _____.    p-value and critical value
  89. When the hypotheses H0: μ ≥ 100 and Ha: μ < 100 are being tested at a level of significance of α, the null hypothesis will be rejected if the test statistic z is _____.  < -zα
  90. When the p-value is used for hypothesis testing, the null hypothesis is rejected if _____.              p-value ≤ α
  91. When the p-value is used for hypothesis testing, the null hypothesis is rejected if _____.                p-value ≤ α
  92. When the rejection region is in the lower tail of the sampling distribution, the p-value is the area under the curve _____.  greater than or equal to the critical value
  93. When the rejection region is in the lower tail of the sampling distribution, the p-value is the area under the curve _____.    less than or equal to the test statistic
  94. When using Excel to calculate a p-value for a lower-tail hypothesis test, which of the following must be used?  NORM.S.DIST
  95. When using Excel to calculate a p-value for an upper-tail hypothesis test, which of the following must be used?  1-NORM.S.DIST
  96. Which Excel function would NOT be appropriate to use when conducting a hypothesis test for a population proportion?   STDEV
  97. Which of the following does NOT need to be known in order to compute the p-value?               the level of significance
  98. Which of the following hypotheses is not a valid null hypothesis?  H0: μ < 0
  99. Which of the following hypotheses is not a valid null hypothesis?  H0: μ < 0
  100. Which of the following is an improper form of the null and alternative hypotheses?                               H0: μ < μ0 and Ha: μ ≥ μ0
  101. Your investment executive claims that the average yearly rate of return on the stocks she recommends is at least 10.0%. You plan on taking a sample to test her claim. The correct set of hypotheses is _____.   H0: μ ≥ 10.0% Ha: μ < 10.0%
  102. Your investment executive claims that the average yearly rate of return on the stocks she recommends is at least 10.0%. You plan on taking a sample to test her claim. The correct set of hypotheses is _____.   H0: μ ≥ 10.0% Ha: μ < 10.0%

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