Question

1. Perform a Pearson Product Moment Correlation on the following comparisons:

height vs. weight

a = .05/2

Sample Size 30

Problem 1a

Step 1:                       Ho:    __   _   ___
                                   Ha:    __   _ ___

Step 2:                       Alpha level = _____

Step 3:           Sampling distribution is df = _____

Step 4:           Decision Rule: I will reject the Ho if the |_robs_| value falls at or beyond
                          the |_rcrit_| of ____, otherwise I will fail to reject

Step 5:           Calculation: \_robs_/ = _____

Step 6:           Summary: Since the |_robs_| of ____     _____________ the |_rcrit_| of

                       _____, I therefore reject/fail to reject (choose one) the Ho.

Step 7:           Conclusion: Since _______ occurred, I conclude ___________________________________________________________________.

Raw Data

Height	Weight
64	180
66	140
69	130
63	125
68	155
62	129
63	173
60	102
66	180
66	130
63	125
68	145
75	235
68	138
65	165
64	140
78	240
71	163
68	195
66	122
53	115
71	210
78	108
69	126
77	215
68	125
62	105
69	126
55	140
67	145

Answer 1

	ΣX	ΣY	Σ(x-x̅)²	Σ(y-ȳ)²	Σ(x-x̅)(y-ȳ)
total sum	2002.00	4527.00	965.87	40762.70	3351.20
mean	66.73	150.90	SSxx	SSyy	SSxy

correlation coefficient ,    r = SSxy/√(SSx.SSy) =   0.534

Sample Size 30

Problem 1a

Step 1:                       Ho:   ρ = 0

                                   Ha:   ρ ╪ 0

Step 2:                       Alpha level = _0.05____

Step 3:           Sampling distribution is df = __28___

Step 4:           Decision Rule: I will reject the Ho if the |_robs_| value falls at or beyond
                          the |_rcrit_| of _0.361___, otherwise I will fail to reject

Step 5:           Calculation: \_robs_/ = __0.534___

Step 6:           Summary: Since the |_robs_| of __0.534 is greater than __     _____________ the |_rcrit_| of

                       _0.361____, I therefore reject the Ho.