Statistics Homework

Question 1

1.  We test if artificial sunlight during the winter months lowers one's depression. Without the light, a depression test has a population mean of 8. With the light, our sample scored 4, 5, 6, 7, and 8. What would be our null hypothesis?

		Our sample will score greater than 8.
		Our sample will score greater than or equal to 8.
		Our sample will score less than 8.

5 points   

Question 2

1.  The t obt is significant when the mean is 35, estimated standard error of the mean is 3.33, and N = 22. Compute the 95% confidence interval.

		28.07 and 41.93
		40.16 and 59.84
		3.33 and 2.080

5 points   

Question 3

1.  Perform the one-sample t-test in a one-sample experiment when you do not know the population standard deviation. 

		True
		False

5 points   

Question 4

1.   For the following set of data, please find the estimated standard error of the mean.

Subject Grade

1 50

2 75

3 65

4 72

5 68

6 65

7 73

8 59

9 64

		2.582
		6.667
		60
		5

5 points   

Question 5

1.   We test if artificial sunlight during the winter months lowers one's depression. Without the light, a depression test has a population mean of 8. With the light, our sample scored 4, 5, 6, 7, and 8. What is the t obt?

		2.5
		.707
		-2.83

5 points   

Question 6

1.  For the following set of data, please find the estimated population variance.

Subject Grade

1 50

2 75

3 65

4 72

5 68

6 65

7 73

8 59

9 64

		54
		349.28
		8
		60

5 points   

Question 7

1.  If t obt is not beyond t crit the results are not significant.

		True
		False

5 points   

Question 8

1.   We test if artificial sunlight during the winter months lowers one's depression. Without the light, a depression test has a population mean of 8. With the light, our sample scored 4, 5, 6, 7, and 8. What is the t crit?

		2.132
		-2.132
		3.747
		-3.747

5 points   

Question 9

1.   We test if artificial sunlight during the winter months lowers one's depression. Without the light, a depression test has a population mean of 8. With the light, our sample scored 4, 5, 6, 7, and 8. What should our final conclusion be?

		T obt is not beyond t crit. Artificial sunlight significantly lowers depression.
		T obt is beyond t crit. Artificial sunlight does not significantly lowers depression.
		T obt is not beyond t crit. Artificial sunlight does not significantly lowers depression.
		T obt is beyond t crit. Artificial sunlight significantly lowers depression.

5 points   

Question 10

1.   For the following set of data, please find the t obt.

Subject Grade

1 50

2 75

3 65

4 72

5 68

6 65

7 73

8 59

9 64

		60
		-3.61
		-9.33
		2.582