1. 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 takenfor each of 36 adult male subjects. The reaction times (in seconds) are summarized as follows: x=1.82,s=0.22

Previous psychological studies show that the true mean reaction time for non-sleep-deprived malesubjects is 1.70 seconds.

Does the sample evidence indicate that the mean reaction time for sleep-deprived male subjects islonger than that of non-sleep-deprived male subjects ?=0.05

(i) The alternative hypothesis for the above problem is

2. 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 takenfor each of 36 adult male subjects. The reaction times (in seconds) are summarized as follows: x=1.82,s=0.22

Previous psychological studies show that the true mean reaction time for non-sleep-deprived malesubjects is 1.70 seconds.

Does the sample evidence indicate that the mean reaction time for sleep-deprived male subjects islonger than that of non-sleep-deprived male subjects ?=0.05

(ii) The test statistic for the above problem is

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 takenfor each of 36 adult male subjects. The reaction times (in seconds) are summarized as follows: x=1.82,s=0.22

Previous psychological studies show that the true mean reaction time for non-sleep-deprived malesubjects is 1.70 seconds.

Does the sample evidence indicate that the mean reaction time for sleep-deprived male subjects islonger than that of non-sleep-deprived male subjects ?=0.05

(iii) The p-value for the above problem is

4. 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 takenfor each of 36 adult male subjects. The reaction times (in seconds) are summarized as follows: x=1.82,s=0.22

Previous psychological studies show that the true mean reaction time for non-sleep-deprived malesubjects is 1.70 seconds.

Does the sample evidence indicate that the mean reaction time for sleep-deprived male subjects islonger than that of non-sleep-deprived male subjects ?=0.05

(iii) The p-value for the above problem is

5. . 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 takenfor each of 36 adult male subjects. The reaction times (in seconds) are summarized as follows: x=1.82,s=0.22

Previous psychological studies show that the true mean reaction time for non-sleep-deprived malesubjects is 1.70 seconds.

Does the sample evidence indicate that the mean reaction time for sleep-deprived male subjects islonger than that of non-sleep-deprived male subjects ?=0.05

(iv) The conclusion for the above problem is

6. 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 takenfor each of 36 adult male subjects. The reaction times (in seconds) are summarized as follows : x=1.82,s=0.22

Previous psychological studies show that the true mean reaction time for non-sleep-deprived malesubjects is 1.70 seconds.

b) Find a 95% confidence interval for the mean reaction time for sleep-deprived male subjects.

7. Failure to meet payments on student loans guaranteed by the United States (U.S.) government has been a major problem for both banks and the government. Approximately 50% of all student loans guaranteed by the government are in default. A random sample of 350 loans to college students in one region of the U.S. indicates that 147 loans are in default.

a) Do the data indicate that the proportion of student loans in default in this area of the country differs from the proportion of all student loans in the U.S. that are in default? Use =0.01

(i) The alternative hypothesis for the above problem is

8. Failure to meet payments on student loans guaranteed by the United States (U.S.) government has been a major problem for both banks and the government. Approximately 50% of all student loans guaranteed by the government are in default. A random sample of 350 loans to college students in one region of the U.S. indicates that 147 loans are in default.

a) Do the data indicate that the proportion of student loans in default in this area of the country differs from the proportion of all student loans in the U.S. that are in default? Use =0.01

(ii) The test statistic for the above problem is

9. Failure to meet payments on student loans guaranteed by the United States (U.S.) government has been a major problem for both banks and the government. Approximately 50% of all student loans guaranteed by the government are in default. A random sample of 350 loans to college students in one region of the U.S. indicates that 147 loans are in default.

a) Do the data indicate that the proportion of student loans in default in this area of the country differs from the proportion of all student loans in the U.S. that are in default? Use =0.01

(iii) The p-value for the above problem is

10. Failure to meet payments on student loans guaranteed by the United States (U.S.) government has been a major problem for both banks and the government. Approximately 50% of all student loans guaranteed by the government are in default. A random sample of 350 loans to college students in one region of the U.S. indicates that 147 loans are in default.

a) Do the data indicate that the proportion of student loans in default in this area of the country differs from the proportion of all student loans in the U.S. that are in default? Use =0.01

(i) The conclusion for the above problem is