38. A veterinarian does research on the causes of enteroliths, stones that devel

Question

38. A veterinarian does research on the causes of enteroliths, stones that develop in the colon of horses. She suspects that feeding alfalfa might be a cause. To investigate that suspicion, she selects five horses that are known to have enteroliths and compares the number of flakes of alfalfa they have eaten over a month with the number of flakes eaten by five horses free of entero!ths. The researcher tests the following hypothesis Ho: E_ vs. H·HE> . For the data given below the test statistic is 45 28 12 Enteroliths group Healthy group A) -2.4335 B) 2.4335 C) 1.960 D) 1.645 39. A veterinarian does research on the causes of enteroliths, stones that develop in the colon of horses. She suspects that feeding alfalfa might be a cause. To investigate that suspicion, she selects five horses that are known to have enteroliths and compares the number of flakes of alfalfa they have eaten over a month with the number of flakes eaten by five horses free of enteroliths. The statistician at the local university tells the veterinarian that she cannot use a two-sample t test after a careful talk with the researcher. Therefore, she decides to use a permutation test. The observed difference in the number of flakes is E H 17 observed values. These samples all have the same probability of occurring under the null hypothesis that E- . Therefore, the probability of the observed difference is A) 0.10 B) 0.01 C) 0.04 D) 0.004 There are 252 possible samples for the 10

Explanation / Answer

38) Answer =B) 2.4335

USing Minitab

Stat >>>> Basic Statistics >>>>> 2-sample -t

Two-Sample T-Test and CI

Sample N Mean StDev SE Mean
1 5 45.0 12.0 5.4
2 5 28.0 10.0 4.5

Difference = (1) - (2)
Estimate for difference: 17.00
95% lower bound for difference: 3.77
T-Test of difference = 0 (vs >): T-Value = 2.43 P-Value = 0.023 DF = 7

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