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EXERCISES. Exercise 1. Is mean human body temperature really 98.6 degrees, or is it lower or higher? H0: µ = 98.6 degrees Ha: µ ≠ 98.6 degrees SAMPLE n = 101 BLOOD DONORS AT CLINIC NEAR SEATTLE AGES 17 TO 84 SAMPLE MEAN = 97.89

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exercise 1
Exercise 1
  • Is mean human body temperature really 98.6 degrees, or is it lower or higher?
  • H0: µ = 98.6 degrees
  • Ha: µ ≠ 98.6 degrees
  • SAMPLE n = 101 BLOOD DONORS AT CLINIC NEAR SEATTLE AGES 17 TO 84
  • SAMPLE MEAN = 97.89
  • POPULATION STANDARD DEVIATION: 0.73
exercise 2
Exercise 2
  • Imagine a researcher wants to determine whether or not a given drug has any effect on the scores of human subjects performing a task of ESP sensitivity. He randomly assigns his subjects to one of two groups. Nine hundred subjects in group 1 (the experimental group) receive an oral administration of the drug prior to testing. In contrast, 900 subjects in group 2 (control group) receive a placebo.
  • The null hypothesis (H0): There is no difference between the means of the drug group and no-drug group on the test of ESP sensitivity, that is H0: µ1 - µ2 = 0
  • This means essentially that the two populations are identical in ESP sensitivity after administration of the drug.
  • For the drug group, the mean score on the ESP test was 9.78, S.D. = 4.05, n = 900
  • For the no-drug group, the mean = 15.10, S.D. = 4.28, n= 900
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EXERCISE 3:

  • The efficacy of a treatment for hypertension (high blood pressure) is to be studied using a clinical trial. Thirty-eight hypertensive patients were randomly allocated to Group 0 (placebo control) another 38 patients were assigned to Group 1 (treatment) and a three-month follow-up study was carried out. At the end of the study, the difference in blood pressure was measured for patients in each group and recorded.
  • A summary of the results is presented below:
exercise 4
Exercise 4
  • A company wants to show, that a vitamin supplement decreases the recover time from a common cold. They selected randomly 70 adults with a cold. 35 of those were randomly selected to receive the vitamin supplement. The data on the recover time for both samples is shown below.
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µ

Z = -

σ

σ = σ

√n