ul Distibution fessor at Bradford University, has decided to give his classes a
ID: 3057500 • Letter: U
Question
ul Distibution fessor at Bradford University, has decided to give his classes a standardized a biolo zs nationally normed. This indicates that the normal distribution is an appropriate f students' scores on this exam. The probability professor at Bradford for the probability distribution o ith scores on this standardized exam can be estimated using the normal of students' tion shown below ability Point Point rio, eed Intermer ty that more 70 78 86 Pron aleState the mean professor sate the mean of the distribution of the biology exam 2 State the Grading Curve Option I ttend a standard deviation of the distribution of the biology exam scores. us course sermestersoriginally, D Dr. Smith decides to curve his students'exam grades as follows Dr. Smith . Sudents whose scores are at or above the 90 percentile will receive an A. . Students whose scores are in the 80h-89e percentiles will receive a B. . Students whose scores are in the 70%-79 percentiles will receive a C. . Students whose scores are in the 6.69e percentiles will receive a D. Students whose scores are below the 60 percentile will receive an F 3 Find the z-scores that correspond to the following percentiles. 90 percentile ·80° percentile 70 percentile 60 percentile Using that information, find the exam scores that correspond to the curved grading that the exam scores range from 0 to 100. (Round to the nearest whole number.) A: B: C: D: F: 0- scale. Assume -100Explanation / Answer
3.
a) 90th percentile => P( Z < z0) = 0.9
From the standard normal table, z0 = 1.282
b) 80th percentile => P(Z < z0) = 0.8
=> z0 = 0.841
c) 70th percentile => P(Z < z0) = 0.7
=> z0 = 0.524
d) 60th percentile => P(Z < z0) = 0.6
=> z0 = 0.253
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