23. A marketing firm asked a random set of married and single men as to how much

Question

23. A marketing firm asked a random set of married and single men as to how much they
were willing to spend for a vacation. At = .05, is a difference in the two amounts?
Married men Single men
Sample size 50 70
Mean spending 260 185
Sample variance 4500 9000
A) Yes, because the test value 5.07 is outside the interval (-1.96, 1.96)
B) No, because the test value 2.00 is outside the interval (-1.96, 1.96)
C) No, because the test value 0.34 is inside the interval (-1.96, 1.96)
D) Yes, because the test value 2.00 is inside the interval (-1.96, 1.96)
24. For the samples summarized below, test the hypothesis at =.05 that the two variances
are equal.
Variance Number of data values
Sample 1 19 8
Sample 2 9 18
A) Reject the hypothesis because the test value 2.11 is less than the critical value 3.16.
B) Reject the hypothesis because the test value 4.46 is greater than the critical value
3.01.
C) Do not reject the hypothesis because the test value 2.11 is less than the critical value
3.16.
D) Do not reject the hypothesis because the critical value 3.01 is greater than the test
value 4.46.
25. A medical researcher is interested in whether patients' left arms or right arms are longer.
If 14 patients participate in this study (so that n left arms and n right arms are
measured), how many degrees of freedom should the researcher use in her t-test critical
value assuming that the variances are equal?
A) 13 B) 27 C) 14 D) 26

Explanation / Answer

23. A) Test stat is (260-185)/sqrt(4500/50 + 9000/70)= 75/14.784= 5.07 24. C) test stat for F test is 19/9= 2.11 25. DF is 14-1= 13 (A)

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