Select the correct choice from the below picture, and if necessary fill in the a

Question

Select the correct choice from the below picture, and if necessary fill in the answer boxes within your choice. Select the correct choice below and, necessary, filin the answer boxes within your choice Round to three decimal places as needed) O A Julies daimisincorrect Derricks zscores are for the first test and for the second test Julie's z scores are for the first test and for the second test Demick'stota is which is more than Jule's total O B. Julie's daim is correct Demick's z scores forehe second test lesz cores are for the frst test and for the first test and for the second test Demick's lotal is which is less than Jules fotal C. Julie's daim is incorred They bothtotaled 170 points on the two exams so neither student did better than the other

Explanation / Answer

Answer

Here by the problem the mean and standard deviation of the first score is 65 points and 15 points respectively.

On the other hand the mean and standard deviation of the second score is 85 points and 10 points respectively.

Now we will compare the score of Derrick with Julie by their z-score as we know z-score is a stadardized unit free score which is obtained by dividing the difference of value and mean by the standard deviation

SO if Derrick score 85 in each test then his z-score for first test be, (85-65)/15=1.3333 and the z-score for the second test be (85-85)/10=0

So he scored a total of 1.3333+0=1.3333 in respect to z-score in both score

Similarly as Julie scored 70 in first test and 100 in second test hence the total z-score of Julie be,

=(70-65)/15+(100-85)/10 =0.3333+1.5

=1.8333

Hence we choose option B as the correct one where it says,

B.Julie's claim is correct. Derrick's z-scores are 1.3333 for the first test and 0 for the second test. Julies z-score are 0.3333 fir the first test and 1.5 for the second test. Derrick's total score is 1.3333 which is less than Julie's total 1.8333.

Hence the answer............

Thank you...........

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