Problem 78
Page 559
Section: HOMEWORK
Chapter 10: HYPOTHESIS TESTING WITH TWO SAMPLE
Given information
males and 
females. The males took an average of three English courses with a standard deviation of 
. The females took an average of four English courses with a standard deviation of 
.Step-by-step explanation
It is assumed that there will be females and females in the experiment. Males have a sample mean of 
and a standard deviation of 
, respectively. Females have a sample mean and standard deviation of 
and 
, respectively.
Now, consider the following observations:
The null hypothesis is defined as follows:
The alternative hypothesis is stated as follows:
The difference in the average number of English courses taken by men and women is 
.
Student’s t (
sample t-test, variances not pooled).
Test statistics
is the result of the output. The chance of noticing a significant difference in the mean number of English courses taken by males and females is the value for this problem.
Using the data from the last exercise, create a mental picture of the situation.
The horizontal axis should be clearly labeled and scaled, and the region(s) matching to the 
should be shaded on the graph.
Decision: Null hypothesis is rejected.
At the 
significance level, there is adequate evidence to establish that males and females take differing numbers of college English courses.
Therefore,
The mean of college English courses that males and females take is different.
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