The seventh-grade band is going to sell baked goods at the craft show. The cost to rent a booth at the craft show is $60. The ba
2 answers:
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Answer:
The p value for this case would be given by:
Since the p value is higher than the significance level we don't have enough evidence to conclude that mean for 4 year college is higher than the mean for the 2 year college
Step-by-step explanation:
Data given
represent the mean for the two year college
represent the mean for the 4 year college
represent the sample standard deviation for the two year college
represent the sample standard deviation for the 4 year college
sample size for the group 1
sample size for the group 2
Significance level provided
t would represent the statistic
System of hypothesis
We want to verify if average 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:
Since we don't know the population deviations the statisitc is given by:
(1)
And the degrees of freedom are given by
Replacing the info given we got:
P value
The p value for this case would be given by:
Since the p value is higher than the significance level we don't have enough evidence to conclude that mean for 4 year college is higher than the mean for the 2 year college