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15 Dec 2021
Problem 11
Page 610
Section: PRACTICE
Chapter 11: THE CHI-SQUARE DISTRIBUTION
Textbook ExpertVerified Tutor
15 Dec 2021
Given information
Use the following information to answer the next five exercises:
A teacher predicts that the distribution of grades on the final exam will be and are recorded in
The actual distribution for a class of is in
Step-by-step explanation
Step 1.
It is given in the problem that the total frequencies are . Therefore, we multiply each frequency by and calculate the following table as shown:
Now to calculate the test statistic the calculation is as done in the following table:
N0.1 | Expected Values | Observed values | (O-E) | (O-E)^2 | (O-E)^2/E |
1 | 5 | 7 | 2 | 4 | 0.8 |
2 | 6 | 7 | 1 | 1 | 1.66667 |
3 | 7 | 5 | -2 | 4 | 0.571428 |
4 | 2 | 1 | -1 | 1 | |
5 | Total |
Therefore, the
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