Find the value of x.
2 answers:
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Answer:
We accept the null hypothesis that the mean gpa's are equal, with the 5 percent level of significance.
Step-by-step explanation:
We have these following hypothesis:
Null
Equal means
So
Alternative
Different means
So
Our test statistic is:
In which are the sample means,
are the sample sizes and
are the standard deviations of the sample.
In this problem, we have that:
So
What to do with the null hypothesis?
We will reject the null hypothesis, that is, that the means are equal, with a significante level of if
In which v is the number of degrees of freedom, given by
Applying the formula in this problem, we have that:
So, applying t at the t-table at a level of 0.975, with 20 degrees of freedom, we find that
We have that
Which is lesser than t.
So we accept the null hypothesis that the mean gpa's are equal, with the 5 percent level of significance.
Step-by-step explanation:
in 2nd exp. this is because by using the formula of a2-b2