7)
1 answer:
You might be interested in
Answer:
Part 1: The statistic
(1)
And the degrees of freedom are given by
Replacing we got
Part 2: P value
Since is a right tailed test the p value would be:
Comparing the p value we see that is lower compared to the significance level of 0.01 so then we can reject the null hypothesis and we can conclude that the mean for the four year college is significantly higher than the mean for the two year college and then the claim makes sense
Step-by-step explanation:
Data given
represent the mean for four year college
represent the mean for two year college
represent the sample standard deviation for four year college
represent the sample standard deviation two year college
sample size for the group four year college
sample size for the group two year college
Significance level provided
t would represent the statistic (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to check if the mean enrollment at four-year colleges is higher than at two-year colleges in the United States , the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We can assume that the normal distribution is assumed since we have a large sample size for each case n>30. So then the sample mean can be assumed as normally distributed.
Part 1: The statistic
(1)
And the degrees of freedom are given by
Replacing we got
Part 2: P value
Since is a right tailed test the p value would be:
Comparing the p value we see that is lower compared to the significance level of 0.01 so then we can reject the null hypothesis and we can conclude that the mean for the four year college is significantly higher than the mean for the two year college and then the claim makes sense