A test was conducted to see whether CGPA of final year students taking Science and Technology courses is normally distributed. The first column in Table 2 shows normal distribution divided into 4 ranges. The second column shows the proportions of a normal distribution falling in the ranges specified in the first column. Note that if the distribution were normal, then there would have been only about 35 scores between 0 and 1, whereas 60 were observed. Table 2 Range  proportion observe frequency above 1 0.159 9 0 to 1 0.341 60 -1 to 0 0.341 17 below -1 0.159 19     (i) Find the expected values for each range. (ii) If the test statistic is ?2 = 12.156, state your conclusion on the CGPA distribution of the final year students whether it is normally distributed at ? = 0.01.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A test was conducted to see whether CGPA of final year students taking Science and Technology
courses is normally distributed. The first column in Table 2 shows normal distribution divided into
4 ranges. The second column shows the proportions of a normal distribution falling in the ranges
specified in the first column. Note that if the distribution were normal, then there would have
been only about 35 scores between 0 and 1, whereas 60 were observed.
Table 2

Range  proportion observe frequency
above 1 0.159 9
0 to 1 0.341 60
-1 to 0 0.341 17
below -1 0.159 19

 

 


(i) Find the expected values for each range.
(ii) If the test statistic is ?2 = 12.156, state your conclusion on the CGPA distribution of the final
year students whether it is normally distributed at ? = 0.01.

 

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