Reference no: EM132849271

B. Please complete the following question. Make sure to responding to all parts of the question and show all work. As a tip let the marks assigned be a guide as to how much information is required to respond.

a) Sam received the following scores on the midterm and final examinations in his introductory psychology course. The mean and the standard deviation for each test are given below. Assume that the normal distribution provides a good model for the frequency distribution.

section X M S
Midterm 24 30 8
Final 62 65 10

What percentage of students scored better than Sam on the midterm?

b) Chloe was enrolled in a different section of introductory psychology. Her information for the midterm and final are provided below.

section X M S
Midterm 40 50 10
Final 90 100 12

The department has decided that all marks from introductory psychology courses should be reported based on a standardized distribution with a mean of 100 and standard deviation of 15.

What would be Sam's and Chloe's final examination scores based on this new distribution?