Question

99% confidence interval of the difference

(Height in feet)	F	Sig.	t	df	Sig. (2-tailed)	Mean difference	Std. Error difference	Lower	upper
Equal variances assumed	2.854	.091	-1.608	3573	.108	-.032	.020	-.082	.019

International Student	N	Mean	Std. Deviation	Std. Error Mean
No	3280	5.05	.322	.006
Yes	295	5.09	.328	.019

This question has 10 parts. Each of the 10 parts (Part A - Part J) has a dropdown list of possible answers. Choose the best answer from the dropdown list for EACH part of the question below.

Your analysis will focus on the variables "Height in feet" (NQ49_FT) and "International student" (NQ55)

Note: Be careful NOT to use the different variables NQ49_IN (Height in inches) or HT_INCH (Height in Inches)

Investigators are wondering if there is a difference in the average height in feet of international students compared with non-international students at CSUN. To examine their research question of interest, they will use data from the sample of CSUN students contained in the HSCI390.sav dataset. Using SPSS, test whether there appears to be a difference in the average height in feet of international students at CSUN when compared to non-international students at CSUN, using an alpha level (α) of 0.01. Provide the following information:

You will use the information above to complete the question parts below.

Part A: Which of the following represents the appropriate null hypothesis (H₀), given this research question of interest?

PART A ANSWER: H₀:                            [ Select ]                       ["µ1 - µ2 = 5.5", "µ1 - µ2 = 6.1", "µ = 5.3", "µ1 - µ2 = 0", "µ ≠ 0.78"]      

Part B: Which of the following represents the appropriate alternative hypothesis (H₁), given this research question of interest?

PART B ANSWER: H₁:                            [ Select ]                       ["µ1 - µ2 ≠ 6.1", "µ1 - µ2 ≠ 0", "µ1 - µ2 = 5.5", "µ ≠ 5.3", "µ = 0.78"]      

Part C: What is the mean height in feet of international students ("International student"=Yes)?

PART C ANSWER:                            [ Select ]                       ["5.73", "5.56", "5.88", "5.09", "4.98"]      

Part D: What is the mean height in feet of non-international students ("International student"=No)?

PART D ANSWER:                            [ Select ]                       ["5.05", "5.14", "5.52", "5.28", "5.91"]      

Part E: How many people in your sample are international students ("International student"=Yes)?

PART E ANSWER:                            [ Select ]                       ["247", "295", "326", "385", "459"]      

Part F: How many people in your sample are non-international students ("International student"=No)?

PART F ANSWER:                            [ Select ]                       ["489", "3024", "3692", "2805", "3280"]      

Part G: What is your t statistic?

PART G ANSWER:                             [ Select ]                       ["-2.417", "-1.608", "-0.531", "-4.298", "1.972"]      

Part H: What is your degrees of freedom?

PART H ANSWER:                             [ Select ]                       ["2904", "3573", "1317", "3201", "2685"]      

Part I: What is the p-value associated with your test statistic?

PART I ANSWER:                             [ Select ]                       ["0.452", "0.006", "0.108", "0.722", "0.563"]      

Part J: What is your decision about the null hypothesis based on your test results?

PART J ANSWER:                             [ Select ]                       ["Reject the null", "Fail to reject (i.e., retain) the null"]      

Answer 1

99% confidence interval of the difference (Height in feet)
	F	Sig.	t	df	Sig. (2-tailed)	Mean difference	Std. Error difference	Lower	upper
Equal variances assumed	2.854	0.091	-1.608	3573	0.108	-0.032	0.02	-0.082	0.019
International Student	N	Mean	Std. Deviation	Std. Error Mean
No	3280	5.05	0.322	0.006
Yes	295	5.09	0.328	0.019

Answer(A): H0: µ1 - µ2 = 0

Answer(B): µ1 - µ2 ≠ 0

Answer(C): 5.09 (Mean for Yes in second table)

Answer(D): 5.05 (Mean for No in second table)

Answer(E): 295 (N for Yes in second table)

Answer(F): 3280 (N for No in second table)

Answer(G): -1.608 (t in first table)

Answer(H): 3573 (df in first table)

Answer(I): 0.108 (sig. in first table)

Answer(J): Fail to reject (i.e., retain) the null (as the p-value >0.05)