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EXERCISES

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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EXERCISES

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  1. EXERCISES

  2. 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

  3. 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

  4. 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:

  5. 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.

  6. Formulas

  7. µ Z = - σ σ = σ √n

  8. √ +

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