!!!!!!!! help !!!!!!
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Answer:
We see that the p value is lower than the significance level provided of 0.05 so then we have enough evidence to conclude that the true means are different at 5% of significance.
Step-by-step explanation:
Data given
represent the sample size for group 1
represent the sample size for group 2
represent the sample mean for the group 1
represent the sample mean for the group 2
represent the sample standard deviation for group 1
represent the sample standard deviation for group 2
We are assuming that the two samples are normally distributed with equal variances and that means:
System of hypothesis
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
The degrees of freedom are given by:
And the pooled variance is:
Replacing we got:
And the deviation would be:
The degrees of freedom are:
The statistic would be:
The p value would be
We see that the p value is lower than the significance level provided of 0.05 so then we have enough evidence to conclude that the true means are different at 5% of significance.