BA6933 chapter 9 and 10

  1. A machine is designed to fill toothpaste tubes, on an average, with 5.8 ounces of toothpaste. The manufacturer does not want any underfilling or overfilling. The correct hypotheses to be tested are   H0: μ = 5.8 Ha: μ ≠ 5.8.
  2. A random sample of 100 people was taken. Eighty-five 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 80%. The p-value is   0.1056
  3. A sample of 1400 items had 280 defective items. For the following hypothesis test,

    H0: p ≤ .20
    Ha: p > .20

    the test statistic is   zero
  4. A two-tailed test is performed at the .05 level of significance. The p-value is determined to be .09. The null hypothesis   should not be rejected.
  5. A weatherman stated that the average temperature during July in Chattanooga is 80 degrees or less. A sample of 32 Julys is taken to test the weatherman’s statement. The correct set of hypotheses is   H0: μ ≥ 80 Ha: μ < 80.
  6. As the test statistic becomes larger, the p-value   gets smaller.
  7. If the level of significance of a hypothesis test is raised from .01 to .05, the probability of a Type II error   will decrease.
  8. If the null hypothesis is rejected in hypothesis testing,   the alternative hypothesis is true
  9. In hypothesis testing, if the null hypothesis has been rejected when the alternative hypothesis has been true   the correct decision has been made
  10. 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.
  11. More evidence against H0 is indicated by   smaller p-values.
  12. Read the t statistic from the t distribution table and circle the correct answer. For a one-tailed test (upper tail), using a sample size of 18, and at the 5% level of significance, t    1.740
  13. 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.
  14. The average monthly rent for one-bedroom apartments in Chattanooga has been $700. Because of the downturn in the real estate market, it is believed that there has been a decrease in the average rental. The correct hypotheses to be tested are   H0: μ ≥ 700 Ha: μ < 700.
  15. The error of rejecting a true null hypothesis is   a Type I error
  16. The level of significance is the   maximum allowable probability of Type I error.
  17. The probability of committing a Type I error when the null hypothesis is true as an equality is   the level of significance.
  18. The p-value is   a probability.
  19. What type of error occurs if you fail to reject H0 when, in fact, it is not true?  Type II
  20. When the null hypothesis is NOT rejected, it is   not possible a Type II error has occurred.
  21. When the null hypothesis is rejected, it is   possible a Type I error has occurred

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