The following data on the third quiz scores are obtained from two classes of FNDSTAT. A sample of 16 students from class A scored an average of 45.3 and a standard deviation of while a sample of 13 from class B have a mean score of 39.8 and a standard deviation of 17.8. The population variances are known to be equal. We want to find out whether the overall performance of class A (demonstrated by the population mean) exceeds class B by at least 5 points at the 5% level of significance. What is the numerical value of the critical region?

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The following data on the third quiz scores are obtained from two classes of FNDSTAT.
A sample of 16 students from class A scored an average of 45.3 and a standard deviation of 14.7,
while a sample of 13 from class B have a mean score of 39.8 and a standard deviation of
17.8. The population variances are known to be equal.
We want to find out whether the overall performance of class A (demonstrated by the
population mean) exceeds class B by at least 5 points at the 5% level of significance.
What is the numerical value of the critical region?
Transcribed Image Text:The following data on the third quiz scores are obtained from two classes of FNDSTAT. A sample of 16 students from class A scored an average of 45.3 and a standard deviation of 14.7, while a sample of 13 from class B have a mean score of 39.8 and a standard deviation of 17.8. The population variances are known to be equal. We want to find out whether the overall performance of class A (demonstrated by the population mean) exceeds class B by at least 5 points at the 5% level of significance. What is the numerical value of the critical region?
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