A researcher wishes to see if the variance of the areas in square miles for counties in Indiana is less than the variance of the areas for counties in Iowa. A random sample of counties is selected, and the data are shown. At α = 0.01, can it be concluded that the variance of the areas for counties in Indiana is less than the variance of the areas for counties in Iowa?

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.

Transcribed Image Text:

Indiana lowa 406 393 396 485 640 580 431 416 431 430 369 408443 569 779 381 305 215 489 293717 568 714 731 373 148 306 509571 577 503 501 560 384 320 407 568 434 615 402