Farley\'s score on his first statistics test of the year was 58. The scores for
ID: 2915043 • Letter: F
Question
Farley's score on his first statistics test of the year was 58. The scores for the entire class were normally distributedwith a mean of 65 and a standard deviation of 5. His score onthe second statistics test of the year was 70, but this was aneasier test and the class average was 78 with a standard deviationof 6. Which of the following statements is true?A. Farley is improving in relation to the rest of theclass because his score went up. B. Farley appears to be improving in relation to therest of the class because he was not as far below the classaverage. C. Farley did better on the first test because he wasnot as far away from the class average. D. Farley did better on the first test because his zscore was greater. E. In relation to the rest of the class, Farley didequally well on both tests.
explain your reasoning please
A. Farley is improving in relation to the rest of theclass because his score went up. B. Farley appears to be improving in relation to therest of the class because he was not as far below the classaverage. C. Farley did better on the first test because he wasnot as far away from the class average. D. Farley did better on the first test because his zscore was greater. E. In relation to the rest of the class, Farley didequally well on both tests.
explain your reasoning please
Explanation / Answer
Farley's z score in the first test = ( 58 - 65 ) / 5 = -1.4 Farley's z score in the secondtest = ( 70 - 78 ) / 6 = - 1.33 so the answer is A , as Farley did better in the second test because his z score wasgreater in the second test .
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