Question

Male students at SCC last semester. You will use this data throughout the semester on your lab assignments.

Student # Gender Height Shoe Age Hand

1 M 67 10 19 R

2 M 74 12 17 R

3 M 72 11.5 19 R

4 M 69 10 35 R

5 M 66 9 18 R

6 M 71 10.5 17 R

7 M 72 10.5 17 R

8 M 66 10 20 R

9 M 67 10 18 R

10 M 71 10.5 24 R

11 M 66 10 21 R

12 M 71 10.5 18 R

13 M 69 10 22 R

14 M 66 9.5 18 L

15 M 76 14 18 R

16 M 69 11 22 R

17 M 68 9 19 R

18 M 70 12 30 R

19 M 67 10 24 R

20 M 70 11 21 R

21 M 70 10 52 R

22 M 63 9 27 R

23 M 69 11 22 R

24 M 72 10 22 R

25 M 76 11.5 20 L

26 M 75 11 17 R

27 M 72 11 50 L

28 M 69 11 20 R

29 M 70 12 20 R

30 M 69 11.5 23 R

31 M 70 11 18 R

32 M 67 10 21 R

33 M 68 11 44 R

34 M 76 13 48 R

35 M 62 8 23 L

36 M 69 9 19 R

37 M 72 10 60 R

38 M 73 11.5 41 R

39 M 70 9.5 39 R

40 M 78 15 24 R

41 M 65 8.5 23 R

42 M 68 9.5 20 R

2. Using the SCC men’s/women’s class sample data at the ?=0.05, is there enough evidence to conclude that there is a significant linear correlation between men’s/women’s height and men’s/women’s shoe size?

a. State the null and alternate hypotheses.

b. Specify the level of significance.

c. State the correlation coefficient. (3 decimal places)

d. State the critical value from Table 11. (Use the value of n that is closest to your sample size.)

e. State whether to “reject the ?0” or “fail to reject the ?0”.

f. Interpret the decision in the context of the original claim.

Answer 1

Let us first calculate the corerlation coefficient first. In order to calculate this, we need the squraes, cross products and their total. We shall make use of the table below in calculating the correlation.

	Gender	Height	Shoe	X^2	y^2	X*Y
	M	67	10	4489	100	670
	M	74	12	5476	144	888
	M	72	11.5	5184	132.25	828
	M	69	10	4761	100	690
	M	66	9	4356	81	594
	M	71	10.5	5041	110.25	745.5
	M	72	10.5	5184	110.25	756
	M	66	10	4356	100	660
	M	67	10	4489	100	670
	M	71	10.5	5041	110.25	745.5
	M	66	10	4356	100	660
	M	71	10.5	5041	110.25	745.5
	M	69	10	4761	100	690
	M	66	9.5	4356	90.25	627
	M	76	14	5776	196	1064
	M	69	11	4761	121	759
	M	68	9	4624	81	612
	M	70	12	4900	144	840
	M	67	10	4489	100	670
	M	70	11	4900	121	770
	M	70	10	4900	100	700
	M	63	9	3969	81	567
	M	69	11	4761	121	759
	M	72	10	5184	100	720
	M	76	11.5	5776	132.25	874
	M	75	11	5625	121	825
	M	72	11	5184	121	792
	M	69	11	4761	121	759
	M	70	12	4900	144	840
	M	69	11.5	4761	132.25	793.5
	M	70	11	4900	121	770
	M	67	10	4489	100	670
	M	68	11	4624	121	748
	M	76	13	5776	169	988
	M	62	8	3844	64	496
	M	69	9	4761	81	621
	M	72	10	5184	100	720
	M	73	11.5	5329	132.25	839.5
	M	70	9.5	4900	90.25	665
	M	78	15	6084	225	1170
	M	65	8.5	4225	72.25	552.5
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