Subject Right hand threads (sec) Left hand threads (sec) 1 113 137 2 105 105 3 130 133 4 101 108 5 138 115 6 118 170 7 87 103 8 116 145 9 75 78 10 96 107 11 122 84 12 103 148 13 116 147 14 107 87 15 118 166 16 103 146 17 111 123 18 104 135 19 111 112 20 89 93 21 78 76 22 100 116 23 89 78 24 85 101 25 88 123 The design of controls and instruments affects how easily people can use them. A student project investigated this effect by asking 25 right handed students to turn a knob with their right hands that moved an indicator by screw action. There were two identical instruments, one with a right-hand thread and the other with a left-hand thread. The table given has the data from the student project. A. Each student used both instruments, describe how you would use randomization in designing the experiment. B. The student hoped to show that right handed people find right hand threads easier to use. Carry out a 5% significance test to investigate this claim. C. Describe a Type I and Type II error in this case and a consequence of both. D. Calculate and interpret a 90% confidence interval for the mean time advantage of right hand over left hand threads in the setting above.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 15PPS

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Question

Subject	Right hand threads (sec)	Left hand threads (sec)
1	113	137
2	105	105
3	130	133
4	101	108
5	138	115
6	118	170
7	87	103
8	116	145
9	75	78
10	96	107
11	122	84
12	103	148
13	116	147
14	107	87
15	118	166
16	103	146
17	111	123
18	104	135
19	111	112
20	89	93
21	78	76
22	100	116
23	89	78
24	85	101
25	88	123

The design of controls and instruments affects how easily people can use them. A student project investigated this effect by asking 25 right handed students to turn a knob with their right hands that moved an indicator by screw action. There were two identical instruments, one with a right-hand thread and the other with a left-hand thread. The table given has the data from the student project. A. Each student used both instruments, describe how you would use randomization in designing the experiment. B. The student hoped to show that right handed people find right hand threads easier to use. Carry out a 5% significance test to investigate this claim. C. Describe a Type I and Type II error in this case and a consequence of both. D. Calculate and interpret a 90% confidence interval for the mean time advantage of right hand over left hand threads in the setting above.

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