For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim.   A scientist claims that pneumonia causes weight loss in mice. The table below shows weight, in grams, of six mice before infection with pneumonia and two days after infection.  At α = 0.01, evaluate the scientist’s claim. Before After Mouse 1           19.8     18.4 Mouse 2           20.2     19.6 Mouse 3           19.9     19.1 Mouse 4           22.1     20.7 Mouse 5           23.4     22.2 Mouse 6           23.6     23.0

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For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including:

  1. Identifying the claim and H0 and Ha,
  2. Finding the appropriate standardized test statistic,
  3. Finding the P-value or the rejection region,
  4. Deciding whether to reject or fail to reject the null hypothesis, and
  5. Interpreting the decision in the context of the original claim.

 

  1. A scientist claims that pneumonia causes weight loss in mice. The table below shows weight, in grams, of six mice before infection with pneumonia and two days after infection.  At α = 0.01, evaluate the scientist’s claim.

Before After

Mouse 1           19.8     18.4

Mouse 2           20.2     19.6

Mouse 3           19.9     19.1

Mouse 4           22.1     20.7

Mouse 5           23.4     22.2

Mouse 6           23.6     23.0

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