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# Critical Chi-Square Values

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Suppose that on a 100-point test, the goal is for the students' exam scores to have a standard deviation of less than 10 pts. A recent sample of 22 exams has a standard deviation of 12.1. Use alpha = 0.05.

H0: population variance > or = 100
H1: population variance < 100

What is the critical Chi-square value?
For the same hypothesis test, what is the Chi-Square statistic?
For the same hypothesis test, what is the p-Value?
For the same hypothesis test, interpret the results.

https://brainmass.com/statistics/chi-squared-test/critical-chi-square-values-523585

#### Solution Preview

See the attached file.

Chi-square question
Suppose that on a 100-point test, the goal is for the students' exam scores to have a standard deviation of less than 10 pts. A recent sample of 22 exams has a standard deviation of 12.1. Use alpha = ...

#### Solution Summary

The solution discuses the critical chi-squre values.

\$2.19

## Critical value of the Chi-square test

The null hypothesis and the alternate are:
H0: The cell categories are equal
H1: The cell categories are not equal

Category Observed
A 10
B 20
C 30

What is the critical value of the Chi-square? Compute the value of Chi-square. What is your decision regarding H0?

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