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2 answers:
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Answer:
a) F. H 0 : μ O ≥ μ C
H 1 : μ O < μ C
b) B. two-tailed
d)
e)
f) B. Reject the null hypothesis
Step-by-step explanation:
Information provided
represent the mean for the Orange Coast
represent the mean for the Coastline
represent the sample standard deviation for Orange Coast
represent the sample standard deviation for Coastline
sample size for Orange Coast
sample size for Coastline
Significance level provided
t would represent the statistic
Part a
For this case we want to test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students
Null hypothesis:
Alternative hypothesis:
F. H 0 : μ O ≥ μ C
H 1 : μ O < μ C
Part b
For this case we need to conduct a left tailed test.
B. two-tailed
Part d
The statistic is given by:
(1)
And the degrees of freedom are given by
Replacing the info we got:
Part e
We can calculate the p value with this probability:
Part f
Since the p value is a very low value compared to the significance level given of 0.005 we can reject the null hypothesis.
B. Reject the null hypothesis