US sdult males heights are normally distributed with M = 69.50 inches, Joe stand
ID: 3204526 • Letter: U
Question
US sdult males heights are normally distributed with M = 69.50 inches, Joe stands 67.00 in. tall. Calculate the z score, locate the z score in the distribution. What percentage of American men are the same height or shorter than Joe? Mart the area. What percentage of American men are taller than Joe? Mart the area. What percentage of American men are between the mean and Joes' height? Mart the area. Harry's score on a math test is two standard deviations above Ron's If Ron scored 1 standard deviation below the mean and the descriptive statistics for the class were M = 50, SD = 15, what were Ron's and 1 lam 's raw scores? Although Many did better than Ron in math. Ron is a stronger English student. If the descriptive statistics for an English class test were .If M = 79, SD = 7, Ron obtain a score that was approximately 1.3 SDs above the mean, and Harry obtained a score that was approximately 0.12 SDs above the mean, what were their raw scores? Who is the stronger student in their respective subject, Harry as a math student or Ron as an English student? Harry scored 1 SD above the mean in a math test. Ron scored 1.3 SDs above the mean in an English lest Transform their scores to a scale with M = 500, SD = 100.Explanation / Answer
4) a)z score=(X-mean)/std deviation =(67-69.5)/2 =-1.25
a)P(Z<-1.25) =0.1056; shade the area on left of z=-1.25
b)P(Z>-1.25) =1-P(Z<-1.25) =1-0.1056 =0.8944 ; shade the area on the right of Z =-1.25
c) P(-1.25<Z<0) =0.5-0.1056 =0.3944 ; shade area b/w z=-1.25 and z=0
5 a)Ron's Score =mean -1*std deviation =50-15 =35
Harry;s score =Ron's score+2*std deviation =35+2*15 =65
b)Ron's english score =79+1.3*7=88.1
Harry's english score =79+0.12*7 =79.84
c) as Ron english z score =1.3 is better then Harry's math z score of 1. Ron is stronger as an english student.
d) Harry math score =500+1*100 =600
Ron score =500+1.3*100=630
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