Assignment:(60-points)-Chapter-10, pg. 370, problem-10.761 The-American Society

Question

Assignment:(60-points)-Chapter-10, pg. 370, problem-10.761 The-American Society for Quality(ASQ)-conducted-a-salarysurvey-of-all-its-members ASQ.-members work-in-all-areas-of-manufacturing-and-service-related-institutions, with-a-common-theme-of-an-interest in quality Twojob-titles are-black belt and green belt. (See-Section 14.6-for-a-description of these titles in-a-Six-Sigma-quality-improvement-initiative.) Descriptive-statistics-concerting-salaries-for these two jobs titles are-given-in-the followingtable:1

Explanation / Answer

a)

since p-value = 0.00244 < 0.05

we reject the null hypothesis. there is significant evidence of difference of proportion

b)

since p-value = 0.000102 < 0.05

we reject the null hypothesis. there is significant evidence of difference of proportion

c1 c2 c3 c4 sum r1 102 118 220 115 555 r2 74 93 135 130 432 sum 176 211 355 245 987 Eij 1 2 3 4 expected 1 98.96657 118.6474 199.6201 137.766 2 77.03343 92.35258 155.3799 107.234 0i 102 118 220 115 74 93 135 130 Ei 98.96657 118.6474 199.6201 137.766 77.03343 92.35258 155.3799 107.234 sum (Oi-Ei)^2/Ei 0.092978 0.003533 2.080662 3.762096 0.119451 0.004539 2.673073 4.833249 13.56958 p-value 0.003554 critical value 7.82

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