Answer:
Since the p value is lower than the significance level we have enough evidence to conclude that the true means are different at 5% of significance
Step-by-step explanation:
Data given
sample mean for group 1
sample mean for group 2
sample size for group 1
sample size for group 2
sample deviation for group 1
sample deviation for group 2
Solution
We want to check if the two means are equal so then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
And the statistic is given by:
And replacing we got:
The degrees of freedom are given by:
And the p value would be:
Since the p value is lower than the significance level we have enough evidence to conclude that the true means are different at 5% of significance