A medical researcher claims that a specially treated intravenous solution decreases the variance of the time required for nutrients to enter the bloodstream. Independent samples from each type of solution are randomly selected, and the results are shown in the table given below. At α = 0.01, is there enough evidence to support the researcher’s claim? Assume the populations are normally distributed.

a. Identify the claim and state H₀ and H_a.

b. Identify the level of significance α.

c. Identify the degrees of freedom for the numerator and the denominator.

d. Find the critical value F₀ and identify the rejection region.

e. Find the test statistic F. Sketch a graph.

f. Decide whether to reject the null hypothesis.

g. Interpret the decision in the context of the original claim.

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Normal Treated solution solution n = 25 s2 = 180 n = 20 52 = 56