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Answer:
And the deviation would be just the square root of the variance:
Then the statistic is given by:
And the correct option would be:
t = 1.674
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 two independent samples from two normal distributions with equal variances we are assuming that
And the statistic is given by this formula:
Where t follows a t distribution with degrees of freedom and the pooled variance
is given by this formula:
The system of hypothesis on this case are:
Null hypothesis:
Alternative hypothesis:
The pooled variance is given by:
And the deviation would be just the square root of the variance:
Then the statistic is given by:
And the correct option would be:
t = 1.674