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Answer:
Check the explanation
Step-by-step explanation:
Let and
be sample means of white and Jesse denotes are two random variables.
Given that both samples are having normally distributed.
Assume having with mean
and
having mean
Also we have given the variance is constant
A)
We can test hypothesis as
For this problem
Test statistic is
Where
We have given all information for samples
By calculations we get
s=2.41
T=2.52
Here test statistic is having t-distribution with df=(10+7-2)=15
So p-value is P(t15>2.52)=0.012
Here significance level is 0.05
Since p-value is <0.05 we are rejecting null hypothesis at 95% confidence.
We can conclude that White has significant higher mean than Jesse. This claim we can made at 95% confidence.
which means the parabola lies above the x-axis over its entire domain. This means the area is given by