SOLUTION: 1) One of the many concerns of college students today is the time required for them to graduate with a baccalaureate degree (BA or BS). Current estimates in the California public u

Question 770189: 1) One of the many concerns of college students today is the time required for them to graduate with a baccalaureate degree (BA or BS). Current estimates in the California public university system is that takes an average of slightly over 5 years for a student to complete a baccalaureate degree. One researcher suggests that males take a significantly longer average time than females to complete a baccalaureate degree. What is the correct hypotheses to test in an attempt to support the claim of this researcher? Let {\mu_1 represent the average time it takes females to complete a baccalaureate degree in the California public university system, and let {\mu_2 represent the average time it takes males to complete a baccalaureate degree in the California public university system.
Choose one answer.
A. H_0:\mu_1-\mu_2=0 \\ H_a:\mu_1-\mu_2>0
B. H_0:\mu_1-\mu_2=0 \\ H_a:\mu_1-\mu_2<0
C. H_0:\mu_1-\mu_2=0 \\ H_a:\mu_1-\mu_2 \neq 0
D. H_0:\mu_1-\mu_2>0 \\ H_a:\mu_1-\mu_2 \neq 0
E. None of the above
2) Marks: 6
In the situation of Problem 1 above, suppose that two independent random samples from approximately normal distributions were taken from recent college graduates of the California public university system. As before, we let {\mu_1 represent the average time it takes females to complete a baccalaureate degree in the California public university system, and we let {\mu_2 represent the average time it takes males to complete a baccalaureate degree in the California public university system.
Using the summary data below from the two samples, compute the value of the test statistic t^*.
{\bar{x_1}=4.95 \bar{x_2}=5.22
s_1=0.64 s_2=0.89
n_1=21 n_2=21
Choose one answer.
A. -1.78
B. -1.59
C. -1.13
D. -1.00
E. -0.84
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1) One of the many concerns of college students today is the time required for them to graduate with a baccalaureate degree (BA or BS). Current estimates in the California public university system is that takes an average of slightly over 5 years for a student to complete a baccalaureate degree.
-------------------------
One researcher suggests that males take a significantly longer average time than females to complete a baccalaureate degree.
Note: This implies that mu1 is less than mu2
or mu1-mu2 < 0
Since that statement does not include the "equality" it must be H(a)
---------
Answer:: B
-----------------
What is the correct hypotheses to test in an attempt to support the claim of this researcher? Let {\mu_1 represent the average time it takes females to complete a baccalaureate degree in the California public university system, and let {\mu_2 represent the average time it takes males to complete a baccalaureate degree in the California public university system.
Choose one answer.
A. H_0:\mu_1-\mu_2=0 \\ H_a:\mu_1-\mu_2>0
B. H_0:\mu_1-\mu_2=0 \\ H_a:\mu_1-\mu_2<0
C. H_0:\mu_1-\mu_2=0 \\ H_a:\mu_1-\mu_2 \neq 0
D. H_0:\mu_1-\mu_2>0 \\ H_a:\mu_1-\mu_2 \neq 0
E. None of the above
--------------------------------------------------
2) Marks: 6
In the situation of Problem 1 above, suppose that two independent random samples from approximately normal distributions were taken from recent college graduates of the California public university system. As before, we let {\mu_1 represent the average time it takes females to complete a baccalaureate degree in the California public university system, and we let {\mu_2 represent the average time it takes males to complete a baccalaureate degree in the California public university system.
Using the summary data below from the two samples, compute the value of the test statistic t^*.
{\bar{x_1}=4.95 \bar{x_2}=5.22
s_1=0.64 s_2=0.89
n_1=21 n_2=21
Choose one answer.
A. -1.78
B. -1.59
C. -1.13
D. -1.00
E. -0.84
(4.95-5.22)/sqrt[(0.64^2/21)+(0.89^2/21)] = -1.13
Answer: C
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Cheers,
Stan H.
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