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12 November, 09:23

A researcher is interested in determining whether the mean of group 1 is 10 units larger than the mean of group 2. Which of the following represents the alternative hypothesis for testing the researcher's theory?

a. Ha: µ1 - µ2 ≤ 10

b. Ha: µ1 = µ2

c. Ha: µ1 - µ2 ˃ 10

d. Ha: µ1 - µ2 = 0

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Answers (1)
  1. 12 November, 09:56
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    c. Ha: µ1 - µ2 ˃ 10

    Step-by-step explanation:

    given that a researcher is interested in determining whether the mean of group 1 is 10 units larger than the mean of group 2.

    There are two groups with different means.

    We want to check whether the difference of mean 1 - mean 2 is greater than 10 units

    For this we set up hypotheses with null as difference equal to 10 and alternate as difference large than 10

    Hence the hypotheses would be

    H0: Mean 1 - Mean 2 = 10

    Ha: Mean 1 - Mean 2 >10

    In notations this would be

    c. Ha: µ1 - µ2 ˃ 10
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