STATE: The design of controls and instruments affects how easily people can use them. A student project investigated this effect by asking 2525 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 (the knob turns clockwise) and the other with a left‑hand thread (the knob turns counterclockwise). Each of the 2525 students used both instruments. The table gives the times in seconds each subject took to move the indicator a fixed distance. SOLVE: Calculate the mean ?¯x¯ and standard deviation, ?s. (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.) x= _____ s= _ Calculate the ?t‑statistic. (Enter your answer rounded to two decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.) t= __ Find the degrees of freedom, dfdf . (Enter your answer as a whole number. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.) df= _ What is the ?P‑value. (Enter your answer rounded to four decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.) P= _________

Name: STATE: The design of controls and instruments affects how easily peopl
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Description: STATE: The design of controls and instruments affects how easily people can use them. A student project investigated this effect by asking 2525 right‑handed students to turn a knob (with their right hands) that moved an indicator by screw action. The

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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STATE: The design of controls and instruments affects how easily people can use them. A student project investigated this effect by asking 2525 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 (the knob turns clockwise) and the other with a left‑hand thread (the knob turns counterclockwise). Each of the 2525 students used both instruments. The table gives the times in seconds each subject took to move the indicator a fixed distance.

SOLVE: Calculate the mean ?¯x¯ and standard deviation, ?s. (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)

x= ___________

s= ___________

Calculate the ?t‑statistic. (Enter your answer rounded to two decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)

t= ____________

Find the degrees of freedom, dfdf . (Enter your answer as a whole number. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)

df= ___________

What is the ?P‑value. (Enter your answer rounded to four decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)

P= _____________

FULL DATA SET LINKED HERE: http://crunchit3.bfwpub.com/bps8e?dataset=ex20-49.txt

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

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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