The annual salaries (in dollars) of 14 randomly chosen fire fighters are listed. At = 0.05,

The annual salaries (in dollars) of 14 randomly chosen fire fighters are listed. At α = 0.05, is there enough evidence to support the claim that the standard deviation of the annual salaries is different from $5500?

(a) Identify the claim and state H0 and Ha,
(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,
(e) Interpret the decision in the context of the original claim. Assume the population is normally distributed.

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50,772 52,409 41,783 51,106 43,816 35,056 32,741 40,981 46,527 40,220 52,068 34,902 28,289 37,880