10.2 Hypothesis testing using t-statistic versus t-critical aircraft homework

	A	B	C	D	G	H	I	J	K
1	Flight distance	For the paper aircraft flight distance hypothesis test:			.	.	.	.	.
2	-50	The null hypothesis is H₀: µ = 560 cm
3	-30	The alternate hypothesis is H₁: µ ≠ 560 cm
4	90	Question	Solutions
5	100	1		Calculate the sample size n
6	140	2		Calculate the sample mean x̅
7	210	3		Calculate the standard deviation sx
8	350	4		Calculate the standard error SE
9	400	5		Using an alpha α of 5%, calculate t-critical. Remember: alpha is 1−confidence level c. DO NOT USE 1-ALPHA!
10	510	6		Calculate the absolute value of the t-statistic \|t\|. Do not forget to use parentheses. Remember that µ = 560 cm
11	640	7		Is the \|t-statistic\| > t-critical?
12	660	8		Do you [REJECT the null hypothesis] or do you [FAIL TO REJECT the null hypothesis ]?
13	700	9		Is the sample mean significantly different from the population mean at a probability of a type I error (α) of 5%?
14	735	10		Could the population mean flight distance for the aircraft sample be 560 centimeters?
15	765	The solutions to questions 7 , 8, and 9 are always confusing for students of statistics:
16	850	When the absolute value of the t-statistic is less than t-critical:
17	1550	○ Fail to reject the null hypothesis
18	2440	○ No, the sample mean is NOT significantly different from the population mean
19	-80	○ Yes, the sample could have come from a population with the given population mean
20	66
21	140	When the absolute value of the t-statistic is more than t-critical:
22	210	○ Reject the null hypothesis
23	240	○ Yes, the sample mean is significantly different from the population mean
24	260	○ No, the sample could NOT have come from a population with the given population mean
25	410
26	436
27	500
28	518
29	530
30	540
31	705
32	750
33	760
34	930
35	950
36	955
37	1070
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100