BA6933 chapter 10 quiz

  1. If two independent large samples are selected from two populations, the smiling distribution of the difference between the two sample means _______    can be approximated by a normal distribution
  2. The sampling distribution of pbar1 – pbar2 is approximated by a ___   normal distribution
  3. the standard error of xbar1-xbar2 is the _____   standard deviation of the sampling distribution of xbar1-xbar2
  4. Independent simple random samples are selected to test the difference between the means of two populations whose standard deviations are not known. We are unwilling to assume that the population variances are equal. The sample sizes are n1 = 25 and n2 = 35. The correct distribution to use is the t distribution with ______ degrees of freedom.  the correct degrees of freedom cannot be calculated without being given the sample standard deviations
  5. If the alternative hypothesis is that proportion of items in population 1 is larger than the proportion of items in population 2, then the null hypothesis should be _____.  p1-p2 ≤ 0
  6. Independent simple random samples are selected to test the difference between the means of two populations whose variances are not known. The sample sizes are n1 = 32 and n2 = 40. The correct distribution to use is the _____ distribution.  T
  7. When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as _____.   matched samples
  8. To compute an interval estimate for the difference between the means of two populations, the t distribution _____.   is not restricted to small sample situations
  9. A company wants to identify which of two production methods has the smaller completion time. One sample of workers is randomly selected and each worker first uses one method and then uses the other method. The sampling procedure being used to collect completion time data is based on _____ samples.   Matched
  10. In testing the null hypothesis H0: μ1 – μ2 = 0, the computed test statistic is z = -1.66. The corresponding p-value is ___   .0485
  11. When developing an interval estimate for the difference between two sample means, with sample sizes of n1 and n2, _____.  .  n1 and n2 can be different sizes
  12. If we are interested in testing whether the proportion of items in population 1 is larger than the proportion of items in population 2, the   alternative hypothesis should state p1 – p2 > 0
  13. To construct an interval estimate for the difference between the means of two populations when the standard deviations of the two populations are unknown and it can be assumed the two populations have equal variances, we must use a t distribution with (let n1 be the size of sample 1 and n2 the size of sample 2)   (n1+n2-2)
  14. Independent simple random samples are taken to test the difference between the means of two populations whose variances are not known, but are assumed to be equal. The sample sizes are n1 = 32 and n2 = 40. The correct distribution to use is the   t distribution with 70 degrees of freedom
  1. Refer to Exhibit 10-1. The 95% confidence interval for the difference between the means of the two populations is _____.   -.92 to 6.92
  2. Refer to Exhibit 10-1. At 95% confidence, we have enough evidence to conclude that the _____.  none of the answers is correct
  3. Refer to Exhibit 10-1. The point estimate of the difference between the means of the two populations (Male – Female) is   3
  4. Refer to Exhibit 10-1. At 95% confidence, the margin of error is _____.   3.920
  5. Refer to Exhibit 10-1. The p-value is _____.  .0668
  6. Refer to Exhibit 10-1. The standard error for the difference between the two means is    2.0
  7. Refer to Exhibit 10-1. If you are interested in testing whether or not the average salary of males is significantly greater than that of females, the test statistic is   1.5
  8. Refer to Exhibit 10-2. Based on the results of the previous question, the ___ null hypothesis should not be rejected
  9. Refer to Exhibit 10-2. The null hypothesis to be tested is H0: μd = 0. The value of the test statistic is _____.  0
  10. Refer to Exhibit 10-2. The point estimate for the difference between the means of the two populations is  0
  11. Refer to Exhibit 10-3. The standard error of xbar1-xbar2 is ___   2
  12. Refer to Exhibit 10-3. The test statistic for the difference between the two population means is _____.     –3
  13. Refer to Exhibit 10-3. The 95% confidence interval for the difference between the two population means is _____.  -9.92 to -2.08
  14. Refer to Exhibit 10-3. The point estimate for the difference between the means of the two populations is   -6
  15. Refer to Exhibit 10-4. The 95% confidence interval for the difference between the two population means is _____.   -5.37 to 11.367
  16. Refer to Exhibit 10-4. The standard error of xbar1-xbar2 is _    4.0
  17. Refer to Exhibit 10-4. The degrees of freedom for the t-distriubiotn are  20
  18. Refer to Exhibit 10-5. The 95% confidence interval for the mean of the population of differences is ___  -3.776 to 1.776
  19. Refer to Exhibit 10-5. If the null hypothesis is tested at the 5% level, the null hypothesis _____.  should not be rejected
  20. Refer to Exhibit 10-6. A point estimate for the difference between the mean purchases of the users of the two credit cards (Store’s Card – Major Credit Card) is __   15
  21. Refer to Exhibit 10-6. A 95% confidence interval estimate for the difference (Store’s Card – Major Credit Card) between the average purchases of the customers using the two different credit cards is _____.   11.68 to 18.32
  22. Refer to Exhibit 10-7. A point estimate for the difference between the two sample means (Downtown Store – North Mall Store) is _____.   1
  23. Refer to Exhibit 10-8. A point estimate for the difference between the two sample means (Company A – Company B) is _____  .50
  24. Refer to Exhibit 10-8. The value of the test statistic is _____.   3.01
  25. Refer to Exhibit 10-8. The p-value is _____.  .0026
  26. Refer to Exhibit 10-9. The mean of the differences (Manufacturer A – Manufacturer B) is _____   2.0
  27. Refer to Exhibit 10-10. The point estimate for the difference between the two population proportions in favor of this product (Product A – Product B) is _____.  .02
  28. Refer to Exhibit 10-10. The 95% confidence interval estimate for the difference between the populations favoring the products is _____.  -.024 to .064
  29. Refer to Exhibit 10-10. The standard error of pbar1-pbar2 is _____.  52
  30. Refer to Exhibit 10-11. The p-value is _____.   less than .001
  31. Refer to Exhibit 10-11. The pooled proportion is _____.    .300
  32. Refer to Exhibit 10-11. The value of the test statistic is _____.  3.96
  33. Refer to Exhibit 10-11 and let pu represent the proportion under and po the proportion over the age of 18. The null hypothesis is   pu – po = 0
  34. Refer to Exhibit 10-12. The 95% confidence interval for the difference between the two proportions is _____.   -.068 to .028
  35. Refer to Exhibit 10-12. The point estimate for the difference between the proportions is _____.    -.02
  36. Refer to Exhibit 10-13. The point estimate of the difference between the means (Company 1 – Company 2) is _____    .8
  37. Refer to Exhibit 10-13. The p-value is _____.   .007
  38. Refer to Exhibit 10-13. The test statistic has a value of ______. 2.7
  39. Refer to Exhibit 10-13. The null hypothesis for this test is _____.  u1-u2 = 0

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