Question

Data Set

Height	Weight	Age	Shoe Size	Waist Size	Pocket Change
64	180	39	7	36	18
66	140	31	9	30	125
69	130	31	9	25	151
63	125	36	7	25	11
68	155	24	8	31	151
62	129	42	6	32	214
63	173	30	8	34	138
60	102	26	6	25	67
66	180	33	8	30	285
66	130	31	9	30	50
63	125	32	8	26	32
68	145	33	10	28	118
75	235	44	12	40	60
68	138	43	8	27	50
65	165	55	9	30	22
64	140	24	7	31	95
78	240	40	9	38	109
71	163	28	7	32	14
68	195	24	10	36	5
66	122	33	9	26	170
53	115	25	7	25	36
71	210	30	10	36	50
78	108	23	7	22	75
69	126	23	8	24	175
77	215	24	12	36	41
68	125	23	8	30	36
62	105	50	6	24	235
69	126	42	9	27	130
55	140	42	8	29	14
67	145	30	8	30	50

Given u = 63.00, SD = 2.50, perfom the following seven-step process. (Please write it out (fill-in the blanks) as detailed below.)

Step 1: Ho: u _ ____

               Ha : u _ ____

Step 2: Alpha level = ______

Step 3: Sampling distribution is ____________________

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

Step 5: Calculation—\_z_obs or t_obs__/ = ____

Step 6: Summary—Since the |____| of ____ falls at or beyond the |____| of ____, I therefore _________________.

Step 7: Conclusion—Since _________________ Ho occurred, I conclude that __________________________ in mean height value.

Answer 1

Step 1

Null Hypothesis

Alternative Hypothesis (Two tailed test)

Step 2: Significance Level

Step 3: Sampling distribution is Normal Distribution because population standard deviation is known.

Step 4: Decision Rule — I will reject the Ho if the |Z_obs| value falls at or beyond
the |1.96| of Z , otherwise I will fail to reject

Step 5: Calculation —

The Sample Mean is

Under H0, the test statistic is

Step 6: Summary — Since the |8.172| of Z falls at or beyond the |1.96| of Z, I therefore Reject the H0.

Step 7: Conclusion —Since , we donot have enough evidence that H0 occurred, I conclude that there is difference in mean height value.