In a hospital study, it was found that the standard deviation of the sound level from 20 areas designated as “casualty doors” was 4.1 dBA and the standard deviation of 24 areas designated as operating theaters was 7.5 dBA. At α = 0.05, can you substantiate the claim that there is a difference in the standard deviations?
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.