Question

40) 40) Mary track runners believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The data lists the number of wins for track runners in the different starting positions. Calculate the chi-square test statistic x2 to test the claim that the number of wins is uniformly distributed across the different starting positions. The results are based on 240 wins. Starting Position 1 2 3 4 5 6 Number of Wins 45 36 33 50 32 44 A) 6.750 B) 15,541 C) 9326 D) 12.592 41) 41) A coffeehouse wishes to see if customers have any preference among 5 different brands of coffee. A sample of 200 customers provided the data below. Find the critical value x Ô to test the claim that the distribution is uniform. Use a 0.01 Brand 1 2 3 4 5 Customers 30 32 55 65 18 A) 11.143 B) 13.277 C) 9488 D) 14.860

Answer 1

The statistic software output for this problem is:

40)

Chi-Square goodness-of-fit results: Observed: 0 Expected: All cells in equal proportion N DF Chi-Square P-value 240 5 6.75 0.2399 Observed + Expected + 45 40 36 40 40 33 50 40 32 40 44 40

Test statistics is $\chi^2$   = 6.750

41)

df = 4

$\alpha$ = 0.01

Critical value = 13.277