aA scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At α = 0.01, is there enough evidence to support the scientist’s claim?

(a) Identify the claim and state H₀ and H_a,

(b) Find the critical value(s) and identify the rejection region(s),

(c) Calculate d̅ and s_d,

(d) Find the standardized test statistic t,

(e) Decide whether to reject or fail to reject the null hypothesis,

(f) Interpret the decision in the context of the original claim. Assume the samples are random and dependent, and the populations are normally distributed. If convenient, use technology.

Transcribed Image Text:

Mouse Weight (before) 19.8 20.6 20.3 22.1 23.4 23.6 Weight (after) 18.4 19.6 19.6 20.7 22.2 23.0