Question

A chewing gum manufacturer wishes to determine if his customers prefer one flavor gum to any other flavor. He selects a random sample of customers and 10. records the flavor of gum that is purchased. Determine the test value for the d Number Sold 25 32 18 43 Type Spearmint Wintergreen A) 6.18 B) 29.5 C) 11.56 D) 18.0 A contingency table has 5 rows and 4 columns. What are the degrees of None of these 11. freedom? A) 20 B) 12 C) 16 D) 15 ) None of these 12. Given that a contingency table has dimensions of 5 X 5, what is the critical value of chi-square at a -0.05? A) 37.652 B) 26.296 C) 31.410 D) 36.415 E None of these 13. An anatomy teacher hypothesizes that the final grades in her class are distributed as 10% A's, 23% B's, 45% C's, 14% D's, and 8% F's, what is the critical value if at the end of the semester she has the following grades? Use a-0.05 14 4 A) 9.236 B) 7.779 C) 11.070 D) 9.488 E None of these

Answer 1

10.

Type	Number Sold (O)	Expected (E)	D = (O -E)	D^2/E
Spearmint	25	29.5	-4.5	0.686441
Wintergreen	32	29.5	2.5	0.211864
cherry	18	29.5	-11.5	4.483051
Cinnamon	43	29.5	13.5	6.177966
	118			11.55932

The chi square value is given by

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From the above table, chi square test value = 11.56

11.

A contengency table has 5 rows and 4 columns. The degrees of freedom is given by

Degrees of freedom = (5 – 1)*(4 – 1) = 4*3 = 12

12.

The degrees of freedom = (5-1)*(5-1) = 4*4 = 16

The critical value at α = 0.05 and df = 16 is 26.296.

13.

The degrees of freedom is (5-1) = 4

The critical value at α = 0.05 and df = 4 is 9.488.