A professor finds that the students scored a 76 8 (M SD)on the final exam.On this exam,a score of 90 is an A.Assuming these data are normally distributed,what is the z score for 90 (the cutoff for an A)?
A)1.75
B)1.50
C)1.25
D)There is not enough information to answer this question.

Question

A professor finds that the students scored a 76  8 (M  SD)on the final exam.On this exam,a score of 90 is an A.Assuming these data are normally distributed,what is the z score for 90 (the cutoff for an A)?
A)1.75 
B)1.50 
C)1.25 
D)There is not enough information to answer this question.

Quizplus · Accepted Answer

We can calculate the z-score for 90 using the formula: z = (x - μ) / σ, where x is the score of interest (90), μ is the mean (76), and σ is the standard deviation (11.8).

z = (90 - 76) / 11.8 = 1.1864

We round this value to two decimal places, giving z = 1.19. The answer choices are all rounded to two decimal places as well, so we need to select the closest one. Of the given choices, A) 1.75 is closest to 1.19, so it is the best answer.

A Professor Finds That the Students Scored a 76