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 μ1 represent the average time it takes females to complete a baccalaureate degree in the California public university system, and let μ2 represent the average time it takes males to complete a baccalaureate degree in the California public university system.
Select one:
A. H0:μ1−μ2=0Ha:μ1−μ2>0
B. H0:μ1−μ2=0Ha:μ1−μ2[removed]0Ha:μ1−μ2≠0
E. None of the above
２．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 μ1 represent the average time it takes females to complete a baccalaureate degree in the California public university system, and we let μ2 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∗.
x1¯=4.95 x2¯=5.22
s1=0.64 s2=0.89
n1=21 n2=21
Select one:
A. -1.78
B. -1.59
C. -1.13
D. -1.00
E. -0.84
３． A psychologist is studying the effects of lack of sleep on the performance of various perceptual-motor tasks. After a given period of sleep deprivation, a measurement of reaction time to an auditory stimulus was taken for each of fifty randomly selected adult male subjects. The mean and standard deviation of the reaction times (in seconds) for the fifty adult male subjects were 1.82 seconds and 0.28 seconds respectively. Previous psychological studies have shown that the true mean reaction time for non-sleep-deprived male subjects is 1.70 seconds. Does the sample evidence indicate that the mean reaction time for sleep-deprived adult males is longer than that of non-sleep-deprived adult males. Select the correct hypotheses to test below.
Select one:
A. H0:μ=1.82Ha:μ<1.82
B. H0:μ=1.70Ha:μ[removed]1.82
D. H0:μ=1.70Ha:μ>1.70
E. None of the above
4．Let p1 be the proportion of successes in the first population and let p2 be the proportion of successes in the second population. Suppose that you are testing the hypotheses:
H0:p1−p2=0Ha:p1−p2≠0
Futhermore suppose that z∗=1.73, find and input the p-value for this test. Round your answer to 4 decimal places.
To answer the question input only the actual number. Do not include units. Do not give your answer in sentence form — just include the numerical answer rounded to exactly 4 decimal places.
Answer:
5. If you are testing hypotheses and your p-value gives you a rejection of the null hypothesis for a 5% significance level, then all other things being equal you would also get a rejection of the null hypothesis for a 10% significance level.
Select one:
True
False
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