BA6933 chapter 9 quiz

  1. The general form of an interval estimate of a population mean or population proportion is the _____ plus or minus the _____.  point estimate, margin of error
  2. As the sample size increases, the margin of error ____     decreases
  3. The ANOVA procedure is a statistical approach for determining whether the means of _____.   0
  4. Exhibit 8-3. If the sample size was 25 (other factors remain unchanged), the interval forμwould _____.   become wider
  5. An interval estimate is used to estimate _____   a population parameter
  6. The expression used to compute an interval estimate of μ may depend on any of the following factors EXCEPT _____.     whether there is sampling error
  7. The use of the normal probability distribution as an approximation of the sampling distribution of is based on the condition that both np and n(1 – p) equal or exceed ____   5
  8. In general, higher confidence levels provide _____.   wider confidence intervals
  9. When the level of confidence increases, the confidence interval _____.    becomes wider
  10. The t value with a 95% confidence and 24 degrees of freedom is _____.   2.064
  11. In the hypothesis testing procedure, α is _____.   the level of significance
  12. An example of statistical inference is _____   hypothesis testing
  13. A two-tailed test is a hypothesis test in which the rejection region is _____    in both tails of the sampling distribution
  14. When developing an interval estimate for the difference between two sample means, with sample sizes of n1 and n2, _____.   n1 and n2 can be of different sizes
  15. 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
  16. If a hypothesis is not rejected at a 5% level of significance, it _____.   will also not be rejected at the 1% level
  17. 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
  18. Refer to Exhibit 9-1. The test statistic equals ____ 2.3
  19. 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
  20. When the p-value is used for hypothesis testing, the null hypothesis is rejected if _____.                       p-value ≤ α
  21. 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%
  22. If a hypothesis is rejected at a 5% level of significance, it ____   may be rejected or not rejected at the 1% level
  23. In tests about a population proportion, p0 represents the ____   hypothesized population proportion
  24. For a one-tailed test (lower tail) with a sample size of 10 and a .10 level of significance, the t value is __   -1.383
  25. In the analysis of variance procedure (ANOVA), factor refers to ____   the independent variable
  26. The ANOVA procedure is a statistical approach for determining whether the means of _____   two or more populations are equal
  27. If we are testing for the equality of 3 population means, we should use the _____   test statistic F
  28. In the ANOVA, treatment refers to ___   40
  29. The F ratio in a completely randomized ANOVA is the ratio of _____.  MSTR/MSE
  30. The t distribution is a family of similar probability distributions, with each individual distribution depending on a parameter known as the ___    degrees of freedom
  31. An estimate of a population parameter that provides an interval believed to contain the value of the parameter is known as the _____   interval estimate
  32. Computing the necessary sample size for an interval estimate of a population proportion requires a planning value for . In case of any uncertainty about an appropriate planning value, we know the value that will provide the largest sample size for a given level of confidence and a given margin of error is    .50
  33. A sample of 26 elements from a normally distributed population is selected. The sample mean is 10 with a standard deviation of 4. The 95% confidence interval for μ is ____   8.384 to 11.616
  34. The probability that the interval estimation procedure will generate an interval that contains the actual value of the population parameter being estimated is the _____.   confidence level or confidence coefficient
  35. A 95% confidence interval for a population mean is determined to be 100 to 120. If the confidence coefficient is reduced to .90, the interval for μ ____   becomes narrower
  36. The mean of the t distribution is _____.   0
  37. For a one-tailed test (upper tail) with a sample size of 18 and a .05 level of significance, the t value is _____.  1.740
  38. Two approaches to drawing a conclusion in a hypothesis test are _____.   p-value and critical value
  39. In hypothesis testing, the alternative hypothesis is _____.  the hypothesis concluded to be true if the null hypothesis is rejected
  40. A two-tailed test is a hypothesis test in which the rejection region is _____.   in both tails of the sampling distribution
  41. 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 _____  in both tails of the sampling distribution
  42. In the hypothesis testing procedure, α is _____   the level of significance
  43. In hypothesis testing, the critical value is _____   a number that establishes the boundary of the rejection region
  44. 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
  45. For a two-tailed test with a sample size of 20 and a .20 level of significance, the t value is ____  1.328
  46. The level of significance is symbolized by _____.   Α
  47. 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
  48. If we are testing for the equality of 3 population means, we should use the   test statistic F
  49. In the analysis of variance procedure (ANOVA), factor refers to ____   the independent variable
  50. Exhibit 13-4. The sum of squares within treatments (SSE) is __   600
  51. In the ANOVA, treatment refers to _____.  different levels of a factor
  52. A 95% confidence interval for a population mean is determined to be 100 to 120. If the confidence coefficient is reduced to .90, the interval for μ _____.  becomes narrower
  53. For which of the following values of p is the value of P(1 − p) maximized?  p = .50
  54. The sample size that guarantees all estimates of proportions will meet the margin of error requirements is computed using a planning value of p equal to _____   .50
  55. The t distribution is a family of similar probability distributions, with each individual distribution depending on a parameter known as the _____   decreases
  56. An example of statistical inference is ___   standard normal
  57. The general form of an interval estimate of a population mean or population proportion is the _____ plus or minus the _____   point estimate, margin of error
  58. Exhibit 8-3. If the sample size was 25 (other factors remain unchanged), the interval for μ would ___     become wider
  59. 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
  60. For a two-tailed hypothesis test with a test statistic value of z = 2.05, the p-value is _____.  .0404
  61. In hypothesis testing, the hypothesis tentatively assumed to be true is   the null hypothesi
  62. The smaller the p-value, the    greater the evidence against H0
  63. 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
  64. For a two-tailed test with a sample size of 20 and a .20 level of significance, the t value is _____.  1.328
  65. In tests about a population proportion, p0 represents the _____   hypothesized population proportion
  66. In an analysis of variance problem, if SST = 120 and SSTR = 80, then SSE is _____.   two or more populations are equal
  67. The use of the normal probability distribution as an approximation of the sampling distribution of is based on the condition that both np and n(1 – p) equal or exceed _____.   5
  68. In determining an interval estimate of a population mean when σ is unknown, we use a tdistribution with _____ degrees of freedom.    n-1
  69. In developing an interval estimate of the population mean, if the population standard deviation is unknown ____   the sample standard deviation and t distribution can be used
  70. A sample of 26 elements from a normally distributed population is selected. The sample mean is 10 with a standard deviation of 4. The 95% confidence interval for μ is _  8.384 to 11.616
  71. A 95% confidence interval for a population mean is determined to be 100 to 120. If the confidence coefficient is reduced to .90, the interval for μ _____  becomes narrower
  72. If an interval estimate is said to be constructed at the 90% confidence level, the confidence coefficient would be __     .9
  73. When the level of confidence increases, the confidence interval ____  become wider
  74. If a hypothesis is not rejected at a 5% level of significance, it _____   will also not be rejected at the 1% level
  75. The smaller the p-value, the _____  greater the evidence against H0
  76. 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
  77. More evidence against H0 is indicated by _____   smaller p-values
  78. 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%
  79. For a two-tailed hypothesis test about a population mean, the null hypothesis can be rejected if the confidence interval ____    does not include µ0
  80. 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
  81. 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
  82. When the p-value is used for hypothesis testing, the null hypothesis is rejected if ___  p-value ≤α
  83. 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
  84. In hypothesis testing, the critical value is _____   a number that establishes the boundary of the rejection region
  85. In an analysis of variance problem, if SST = 120 and SSTR = 80, then SSE is ___   40
  86. As the degrees of freedom increase, the t distribution approaches the _____ distribution   standard normal
  87. In general, higher confidence levels provide _____   wider confidence intervals
  88. The expression used to compute an interval estimate of μ may depend on any of the following factors EXCEPT ____   whether there is sampling error
  89. Computing the necessary sample size for an interval estimate of a population proportion requires a planning value for . In case of any uncertainty about an appropriate planning value, we know the value that will provide the largest sample size for a given level of confidence and a given margin of error is ____   .50
  90. An estimate of a population parameter that provides an interval believed to contain the value of the parameter is known as the _____.   interval estimate
  91. For a one-tailed test (lower tail) with a sample size of 10 and a .10 level of significance, the t value is _____   -1.383
  92. Exhibit 9-1. The test statistic equals __   2.3
  93. More evidence against H0 is indicated by _____   smaller p-values
  94. Two approaches to drawing a conclusion in a hypothesis test are ____      p-value and critical value
  95. Which of the following does NOT need to be known in order to compute the p-value?   the level of significance
  96. Exhibit 13-4. The sum of squares within treatments (SSE) is ____   600
  97. An interval estimate estimate is used to estimate ___   population parameter
  98. A random sample of 25 statistics examinations was selected. The average score in the sample was 76 with a variance of 144. Assuming the scores are normally distributed, the 99% confidence interval for the population average examination score is _____   69.29 to 82.71

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