Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Textbook Question
Chapter 4.2, Problem 26E
The paper referenced in the previous exercise also gave summary statistics and graphs for the reaction time of drivers who were not listening to audiobooks. Data on reaction time (in milliseconds) consistent with those summary statistics for 10 drivers not listening to audiobooks are given here.
- a. Use the data given in this exercise and the data given in the previous exercise to construct dot-plots that would allow you to compare the reaction times for the two groups.
- b. Based on the dot plots, do you think that the standard deviation of the reaction times for people who are not listening to audiobooks would be less than, about the same as, or greater than the standard deviation that you calculated in the previous exercise for drivers who were listening to audio books? Explain your thinking.
- c. Calculate the standard deviation of the reaction times for the drivers who were not listening to audiobooks. Is the value of this standard deviation consistent with your answer in Part (b)?
- d. Describe how the distributions of reaction time differ for drivers who are listening to audiobooks and those who are not.
4.25 In an experiment to assess the effect of listening to audiobooks while driving, participants were asked to drive down a straight road in a driving simulator.τbe accompanying data on time (in milliseconds) to react when a pedestrian walked into the street for 10 drivers listening to an audiobook are consistent with summary statistics and graphs that appeared in the paper “Good Distractions: Testing the Effect of Listening to an Audiobook on Driving Performance in Simple and Complex Road Environments” (Accident Analysis and Prevention [2018]: 202-209). Calculate the variance and the standard deviation for this data set.
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Students have asked these similar questions
Microsoft Excel include formulas
Question 1
The data shown in Table 1 are and R values for 24 samples of size n = 5 taken from a process producing
bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals
recorded (i.e., 34.5 should be 0.50345).
Table 1: Bearing Diameter Data
Sample Number
I
R
Sample Number
I R
1
34.5
3
13
35.4
8
2
34.2
4
14
34.0
6
3
31.6
4
15
37.1
5
4
31.5
4
16
34.9
7
5
35.0
5
17
33.5
4
6
34.1
6
18
31.7
3
7
32.6
4
19
34.0
8
8
33.8
3
20
35.1
9
34.8
7
21
33.7
2
10
33.6
8
22
32.8
1
11
31.9
3
23
33.5
3
12
38.6 9
24
34.2
2
(a) Set up and R charts on this process. Does the process seem to be in statistical control? If necessary,
revise the trial control limits. [15 pts]
(b) If specifications on this diameter are 0.5030±0.0010, find the percentage of nonconforming bearings pro-
duced by this process. Assume that diameter is normally distributed. [10 pts]
1
4. (5 pts) Conduct a chi-square contingency test (test of independence) to assess whether
there is an association between the behavior of the elderly person (did not stop to talk,
did stop to talk) and their likelihood of falling. Below, please state your null and
alternative hypotheses, calculate your expected values and write them in the table,
compute the test statistic, test the null by comparing your test statistic to the critical
value in Table A (p. 713-714) of your textbook and/or estimating the P-value, and
provide your conclusions in written form. Make sure to show your work.
Did not stop walking to talk
Stopped walking to talk
Suffered a fall
12
11
Totals
23
Did not suffer a fall | 2
Totals
35
37
14
46
60
T
Chapter 4 Solutions
Introduction To Statistics And Data Analysis
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