The heights (in feet) for a random sample of world famous cathedrals are listed below. In addition, the heights for a sample of the tallest buildings in the world are listed. Is there sufficient evidence at α = 0.05 to conclude that there is a difference in the variances in height between the two groups?

a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.

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Cathedrals 72 114 157 56 83 108 90 151 Tallest buildings |452 442 415 391 355 344 310 302 209