Respuesta :
Both means are approximately equal at 1% level of significance.
What is significance level?
A finding has statistical significance in statistical hypothesis testing when it is highly unlikely to have happened given the null hypothesis.
H0: Mean of mean = mean of women
Ha: means of men < mean of women
(Left tailed test)
Since population std deviation is known but sample sizes are small t test is used.
The mean of Men minus Women equals -5.00
standard error of difference = 2.201
t = 2.2721
df = 53
p value= 0.0136
since p >0.01 at 1% significance level we fail to reject H0.
Both means are approximately equal at 1% level of significance.
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