A physical fitness instructor claims that a particular weight loss supplement will help users lose weight after two weeks. The table shows the weights (in pounds) of 9 adults before using the supplement and two weeks after using the supplement. At α = 0.05, is there enough evidence to support the physical fitness instructor’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:

User Weight (before 228 210 245 272 203 198 256 217 240 Weight (after) 225 208 242 270 205 196 250 220 240