The annual salaries (in dollars) of 12 randomly chosen nursing supervisors are shown in the table at the left. At a = 0.10, is there enough evidence to reject the claim that the standard deviation of the annual salaries is $16,500?

(a) Identify the claim and state H₀ and H_a, 

(b) Find the critical value(s) and identify the rejection region(s), 

(c) Find the standardized test statistic x², 

(d) Decide whether to reject or fail to reject the null hypothesis, and 

(e) Interpret the decision in the context of the original claim. Assume the population is normally distributed.

Transcribed Image Text:

Annual salaries 59,922 99,493 98,221 90,143 65,106 78,975 74,644 107,817 85,492 87,179 90,505 71,090