You are given the following course metrics from the 1000 students that completed 'Introduction to the Matrix' for the Fall 2021 semester that resulted in a perfectly normal distribution: Mean Course Grade - 75.0 Standard Deviation of Course Grades - 5.0 You are asked to evaluate the following Course Grades from an unidentified class of students: # Grade # Grade # Grade # Grade # Grade 1 75       6 60      11 55     16 90      21 95 2 55       7 70      12 80     17 65      22 60 3 60       8 75      13 85     18 80      23 90 4 75       9 65      14 70     19 75      24 75 5 60      10 90     15 95     20 80      25 95 (a) Is this class 25 student class representative of an 'Introduction to the Matrix' class?  Provide statistical analysis (Table, Graphs, metrics, etc.) and an explanation of the rationale used for comparison between this class of 25 students and the 1000 'Introduction to the Matrix' students.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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 You are given the following course metrics from the 1000 students that
completed 'Introduction to the Matrix' for the Fall 2021 semester that
resulted in a perfectly normal distribution:


Mean Course Grade - 75.0
Standard Deviation of Course Grades - 5.0


You are asked to evaluate the following Course Grades from an unidentified
class of students:
# Grade # Grade # Grade # Grade # Grade
1 75       6 60      11 55     16 90      21 95
2 55       7 70      12 80     17 65      22 60
3 60       8 75      13 85     18 80      23 90
4 75       9 65      14 70     19 75      24 75
5 60      10 90     15 95     20 80      25 95
(a) Is this class 25 student class representative of an 'Introduction to the
Matrix' class? 

Provide statistical analysis (Table, Graphs, metrics, etc.) and an
explanation of the rationale used for comparison between this class
of 25 students and the 1000 'Introduction to the Matrix' students.

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