Please complete the following problems. Show as much work as youcan, and complete the problems as neatly as possible. The x in [x]after each problem denotes the point value.
For each problem, perform the following steps. Assume that allvariables are normally or approximately normally distributed.
State the hypothesis and identify the claim.
Find the critical value(s).
Compute the test value.
Make the decision.
Summarize the results.
The heights (in feet) for a random sample of worldfamous cathedrals are listed below. In addition, the heights for asample of the tallest buildings in the world are listed. Is theresufficient evidence at α = 0.05 to conclude that there is adifference in the variances in height between the two groups?[4]
Cathedrals | 72 | 114 | 157 | 56 | 83 | 108 | 90 | 151 | |
Tallest buildings | 452 | 442 | 415 | 391 | 355 | 344 | 310 | 302 | 209 |
