BA6933 CHAPTER 9 QUIZ

  1. 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
  2. The level of significance is the   maximum allowable probability of Type I error
  3. The probability of making a Type I error is denoted by   a- alpha
  4. A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%.
    Refer to Exhibit 9-6. The test statistic is    1.25
  5. n = 36 H0: μ ≤ 20
    Xbar = 24.6 Ha: μ > 20
    σ = 12 Refer to Exhibit 9-1. The test statistic equals   2.3
  6. When the p-value is used for hypothesis testing, the null hypothesis is rejected if   p-value ≤ α
  7. n = 36 H0: μ ≤ 20
    Xbar = 24.6 Ha: μ > 20
    σ = 12 Refer to Exhibit 9-1. The p-value is     0.0107
  8. A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%.
    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   significantly greater than 75%
  9. The p-value approach to hypothesis testing and the critical value approach​   will always lead to the same rejection decision
  10. If a hypothesis test leads to the rejection of the null hypothesis, a    Type I error may have been committed
  11. If a hypothesis is not rejected at a 5% level of significance, it will    also not be rejected at the 1% level
  12. n = 36 H0: μ ≤ 20
    Xbar = 24.6 Ha: μ > 20
    σ = 12
    Refer to Exhibit 9-1. If the test is done at a .05 level of significance, the null hypothesis should   be rejected
  13. For a two-tailed hypothesis test with a test statistic value of z = 2.05, the p-value I   .0404
  14. 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
  15. A Type I error is committed when   ture null hypothesis is rejected
  16. In hypothesis testing, the critical value is    a number that establishes the boundary of the rejection region
  17. A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%.
    Refer to Exhibit 9-6. The p-value is    0.025
  18. An example of statistical inference is    hypothesis testing
  19. The level of significance in hypothesis testing is the probability of   rejecting a true null hypothesis
  20. Excel’s __________ function can be used to calculate a p-value for a hypothesis test    NORM.S.DIST
  21. The rejection region for a one tailed hypothesis test is   is in the tail that supports the alternative hypothesis
  22. 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   Ho:p>=.35 Ha:p<.35
  23. Excel’s __________ function can be used to calculate a p-value for a hypothesis test when σ is unknown.    T.DIST
  24. 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
  25. 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
  26. The smaller the p-value, the _____.    greater the evidence against H0
  27. 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
  28. If a hypothesis is rejected at a 5% level of significance, it   may be rejected or not rejected at the 1% level
  29. The level of significance is the _____     maximum allowable probability of a Type I errormaximum allowable probability of a Type I error
  30. In the hypothesis testing procedure, α is _____.   the level of significance
  31. When using Excel to calculate a p-value for a lower-tail hypothesis test, which of the following must be used   NORM.S.DIST
  32. If a hypothesis is not rejected at a 5% level of significance, it will   also not be rejected at the 1% level
  33. The probability of making a Type I error is denoted by    α
  34. When the p-value is used for hypothesis testing, the null hypothesis is rejected if   p-value ≤ α
  35. The error of rejecting a true null hypothesis is _____   a Type I error
  36. 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
  37. If a hypothesis test leads to the rejection of the null hypothesis, a  Type I error may have been committed
  38. The practice of concluding “do not reject H0” is preferred over “accept H0” when we ___   have not controlled for the Type II error
  39. A two-tailed test is a hypothesis test in which the rejection region is   in both tails of the sampling distribution
  40. Which of the following does NOT need to be known in order to compute the p-value?   the level of significance
  41. Which of the following is an improper form of the null and alternative hypotheses?                        H0:m<m0 and Ha:m>=m0
  42. The level of significance is symbolized by  a
  43. 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
  44. Which of the following hypotheses is not a valid null hypothesis?   H0: μ < 0
  45. Exhibit 9-6
    A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%.


    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%
  46. 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
  47. A Type I error is committed when    a true null hypothesis is rejected
  48. 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   ≥ za
  49. Exhibit 9-4
    A random sample of 16 students selected from the student body of a large university had an average age of 25 years. We want to determine if the average age of all the students at the university is significantly different from 24. Assume the distribution of the population of ages is normal with a standard deviation of 2 years.


    Refer to Exhibit 9-4. At a .05 level of significance, it can be concluded that the mean age is                 not significantly different from 24
  50. 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
  51. For a two-tailed hypothesis test about a population mean, the null hypothesis can be rejected if the confidence interval   does not include µ0
  52. Exhibit 9-2

    The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.


    Refer to Exhibit 9-2. At a .05 level of significance, it can be concluded that the mean of the population is   significantly greater than 3
  53. 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   < -za
  54. Exhibit 9-6
    A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%.


    Refer to Exhibit 9-6. The p-value is    .1251
  55. More evidence against H0 is indicated by   smaller p-values
  56. 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
  57. 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
  58. If the cost of a Type I error is high, a smaller value should be chosen for the   level of significance
  59. An example of statistical inference is   hypothesis testing
  60. Exhibit 9-2

    The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.


    Refer to Exhibit 9-2. The p-value is   .0228
  61. Exhibit 9-6
    A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%.


    Refer to Exhibit 9-6. The test statistic is     1.25
  62. 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
  63. 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
  64. A one-tailed test is a hypothesis test in which rejection region is   in one tail of the sampling distribution
  65. When the p-value is used for hypothesis testing, the null hypothesis is rejected if    p-value ≤ a
  66. Two approaches to drawing a conclusion in a hypothesis test are   p-value and critical value
  67. Exhibit 9-3

    n = 49 H0: μ = 50
    = 54.8 Ha: μ ≠ 50
    σ = 28

    Refer to Exhibit 9-3. The test statistic equals   1.2
  68. Exhibit 9-1

    n = 36 H0: μ ≤ 20
    = 24.6 Ha: μ > 20
    σ = 12



    Refer to Exhibit 9-1. If the test is done at a .05 level of significance, the null hypothesis should   be rejected
  69. Refer to Exhibit 10-8. A point estimate for the difference between the two sample means (Company A – Company B) is   .50
  70. Refer to Exhibit 10-13. The point estimate of the difference between the means (Company 1 – Company 2) is    .8
  71. Refer to Exhibit 10-3. The test statistic for the difference between the two population means is         -3
  72. Refer to Exhibit 10-5. If the null hypothesis is tested at the 5% level, the null hypothesis         should not be rejected
  73. Refer to Exhibit 10-5. The 95% confidence interval for the mean of the population of differences is   -3.776 to 1.776
  74. Refer to Exhibit 10-3. The point estimate for the difference between the means of the two populations is   -6
  75. Exhibit 10-12. The 95% confidence interval for the difference between the two proportions is                 -.068 to .028
  76. When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as   matched samples
  77. When developing an interval estimate for the difference between two sample means, with sample sizes of n1 and n2,    n-1 and n-2 can be of different sizes
  78. To construct an interval estimate for the difference between the means of two populations when the standard deviations of the two populations are unknown, we must use a t distribution with (let n1 be the size of sample 1 and n2 the size of sample 2) _____ degrees of freedom.                  n1 + n2 – 2
  79. Refer to Exhibit 10-1. The point estimate of the difference between the means of the two populations (Male – Female) is  3
  80. Exhibit 10-10. The 95% confidence interval estimate for the difference between the populations favoring the products is   -.024 to .064
  81. Exhibit 10-1. The 95% confidence interval for the difference between the means of the two populations is  -.92 to 6.92
  82.  Exhibit 10-9. The mean of the differences (Manufacturer A – Manufacturer B) is
  83. Exhibit 10-1 Salary information regarding two independent random samples of male and female employees of a large company is shown below. Refer to Exhibit 10-1. The p-value is    .0668
  84. Exhibit 10-3. The p-value for the difference between the two population means is     .0036
  85. Exhibit 10-4. The standard error of x1-x2 is8.372   4.0
  86. Exhibit 10-7. A point estimate for the difference between the two sample means (Downtown Store – North Mall Store) is  1
  87. In testing the null hypothesis H0: μ1 – μ2 = 0, the computed test statistic is z = -1.66. The corresponding p-value is _____   .0970
  88. Exhibit 10-2. The null hypothesis to be tested is H0: μd = 0. The value of the test statistic is   0
  89. In hypothesis testing, the hypothesis tentatively assumed to be true is ___   The null hypothesis
  90. 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
  91. The level of significance is symbolized by     a
  92. Exhibit 9-3

    n = 49 H0: μ = 50
    = 54.8 Ha: μ ≠ 50
    σ = 28

    Refer to Exhibit 9-3. If the test is done at a 5% level of significance, the null hypothesis should _____.   not be rejected
  93. 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
  94. Which of the following is an improper form of the null and alternative hypotheses?                    Ho: u <u0 and Ha:bar under U > U0
  95. For a two-tailed hypothesis test about μ, we can use any of the following approaches EXCEPT compare the _____ to the _____.  level of significance; confidence coefficient
  96. The rejection region for a one-tailed hypothesis test _____.  is in the tail that supports the alternative hypothesis
  97. Exhibit 9-3

    n = 49 H0: μ = 50
    = 54.8 Ha: μ ≠ 50
    σ = 28

    Refer to Exhibit 9-3. The p-value is equal to _____.   .2302
  98. In hypothesis testing if the null hypothesis is rejected, _   the evidence supports the alternative hypothesis
  99. As a general guideline, the research hypothesis should be stated as the _____.   alternative hypothesis
  100. In hypothesis testing, the alternative hypothesis is   the hypothesis concluded to be true if the null hypothesis is rejected
  101. In hypothesis testing, the critical value is    a number that establishes the boundary of the rejection region
  102. 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
  103. For a two-tailed hypothesis test with a test statistic value of z = 2.05, the p-value is _____. .0404

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