The annual salaries (in dollars) of 15 randomly chosen senior level graphic design specialists are shown in the table at the left. At α = 0.05, is there enough evidence to support the claim that the standard deviation of the annual salaries is different from $10,300?

(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 47,262 67,363 81,246 65,876 59,649 78,268 88,549 52,130 73,955 91,288 54,476 86,787 66,923 48,337 70,172