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Standard deviation of the annual salaries of fire? fighters

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The annual salaries? (in dollars) of 14 randomly chosen fire fighters are listed. At (alpha) α = 0.05?, is there enough evidence to support the claim that the standard deviation of the annual salaries is different from ?$5600?? Assume the population is normally distributed. Complete parts? (a) through? (e) below.

50,766 40,908 52,402 46,496 41,767 40,219 51,052

52,031 43,828 34,965 35,086 28,258 32,762 37,914

(a) Write the claim mathematically and identify H0 and Ha.?

b) Find the critical? value(s).? Identify the rejection? region(s). ?

?(c) Find the standardized test statistic for the chi χsquared 2?-test.?

?(d) Decide whether to reject or fail to reject the null hypothesis.?

?(e) Interpret the decision in the context of the original claim.?

Is there enough evidence to support the claim that the standard deviation of the annual salaries of fire? fighters' is different from ? 5600 at the 5?% level of?significance?

Reference no: EM132164351

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