Several students were tested for reaction times (in thousandths of a second) using their right and left hands. (Each value is the elapsed time between the release of a strip of paper and the instant that it is caught by the subject.) Results from five of the students are included in the graph to the right. Use a 0.05 significance level to test the claim that there is no difference between the reaction times of the right and left hands.
Several students were tested for reaction times (in thousandths of a second) using their right and left hands. (Each value is the elapsed time between the release of a strip of paper and the instant that it is caught by the subject.) Results from five of the students are included in the graph to the right. Use a 0.05 significance level to test the claim that there is no difference between the reaction times of the right and left hands.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Several students were tested for reaction times (in thousandths of a second) using their right and left hands. (Each value is the elapsed time between the release of a strip of paper and the instant that it is caught by the subject.) Results from five of the students are included in the graph to the right. Use a 0.05 significance level to test the claim that there is no difference between the reaction times of the right and left hands.
![34. Several students were tested for reaction times (in thousandths of a second) using their right and left hands. (Each value is the
elapsed time between the release of a strip of paper and the instant that it is caught by the subject.) Results from five of the
students are included in the graph to the right. Use a 0.05 significance level to test the claim that there is no difference between
the reaction times of the right and left hands.
5 Click the icon to view the reaction time data table.
What are the hypotheses for this test?
Let μ be the (1)
Ho: Hd (2)
H₁ H (3)
What is the test statistic?
t=
(Round to three decimal places as needed.)
Identify the critical value(s). Select the correct choice below and fill the answer box within your choice.
(Round to three decimal places as needed.)
O A. The critical values are t= +
OB. The critical value is t=
What is the conclusion?
There (4)
hands.
of the right and left hand reaction times.
enough evidence to warrant rejection of the claim that there is (5)
5: Reaction Time Data Table
(1) O mean of the differences
difference between the means
OOOO
V MIN
2
00
Right Hand
128
122
145
184
166
000
00
Left Hand
145
149
169
192
211
D
2 (4) O is
O is not
Left Hand
(5)
220-
180+
140+
120
T
a difference
no difference
160
Right Hand
H
T
between the reaction times of the right and left
200](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F717e652d-d2e5-48fc-b5bd-80fe3da265db%2Fa1cca2aa-ff3c-48dd-b586-ae05b1cbb9c9%2F5qndn5n_processed.png&w=3840&q=75)
Transcribed Image Text:34. Several students were tested for reaction times (in thousandths of a second) using their right and left hands. (Each value is the
elapsed time between the release of a strip of paper and the instant that it is caught by the subject.) Results from five of the
students are included in the graph to the right. Use a 0.05 significance level to test the claim that there is no difference between
the reaction times of the right and left hands.
5 Click the icon to view the reaction time data table.
What are the hypotheses for this test?
Let μ be the (1)
Ho: Hd (2)
H₁ H (3)
What is the test statistic?
t=
(Round to three decimal places as needed.)
Identify the critical value(s). Select the correct choice below and fill the answer box within your choice.
(Round to three decimal places as needed.)
O A. The critical values are t= +
OB. The critical value is t=
What is the conclusion?
There (4)
hands.
of the right and left hand reaction times.
enough evidence to warrant rejection of the claim that there is (5)
5: Reaction Time Data Table
(1) O mean of the differences
difference between the means
OOOO
V MIN
2
00
Right Hand
128
122
145
184
166
000
00
Left Hand
145
149
169
192
211
D
2 (4) O is
O is not
Left Hand
(5)
220-
180+
140+
120
T
a difference
no difference
160
Right Hand
H
T
between the reaction times of the right and left
200
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