This Question: 1 pt 15 of 26 (1 complete) | This Test: 26 pts Next Question The

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This Question: 1 pt 15 of 26 (1 complete) | This Test: 26 pts Next Question The annual salaries (in dollars of 14 randomly chosen fire fighters are listed. At = 0.05, is there enough evidence to support the claim that the standard deviation of the annual salaries is different from $5600? 50,759 40,988 52,374 46,510 41,775 40,192 51,054 52,035 43,840 34,886 35,094 28,198 32,681 37,902 Click the icon to view the Chi-Square Distribution Table. (a) Write the claim mathematically and identify Ho and Ha O A. Ho: 5600 (Claim); Ha: 25600 O B. Ho: s 5600 (Claim); Ha.o»5600 O c. Ho: 25600; Ha: 5600 (Claim) O D. Ho: = 5600; Ha: #5600 (Claim) (b) Find the critical value(s) (Round to three decimal places as needed. Use a comma to separate answers as needed.) dentify the rejection region(s). Choose the correct graph below Click to select your answer(s). WE P F10 F10 F9 FB F7 F6 F5 0 esc FI F2

Explanation / Answer

(a)

Ho : = $ 5600

Ha : $ 5600

Option D is correct.

(b) Critical value of chi - square ; here dF = 14 -1 = 13

X2critical = X20.025, 13 & X20.975, 13   = 24.7356 & 5.0086

Option D is correct here.

(c) Here now we have to find the standard deviation of given sample.

sample standard deviation = $ 7783.187

so standardized chi -square statistic

X2 = (n-1) (s/0)2 = (14 -1) * (7783.187/5600)2 = 25.112

(d) Here the value of X2 is under the rejection region so we shall reject the null hypothesis. Option C is correct.

(e) SInce the null hypothesis is rejected, there is enough evidence to support the claim. Option C is correct.

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