Answer:
The p value for this case would be:
The p value is higher than the significance level so then we can conclude that we can FAIL to reject the null hypothesis and then the true mean for group A is not significantly higher than the mean for B
Step-by-step explanation:
Information given
represent the mean for sample A
represent the mean for sample B
represent the sample standard deviation for A
represent the sample standard deviation for B
sample size for the group A
sample size for the group B
Significance level provided
t would represent the statistic
Hypothesis to test
We want to verify if the student who graduates from college A has taken more math classes, on the average, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
And the degrees of freedom are given by
Replacing we got:
The p value for this case would be:
The p value is higher than the significance level so then we can conclude that we can FAIL to reject the null hypothesis and then the true mean for group A is not significantly higher than the mean for B