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 0.02 significance level to test the claim that there is no difference between the reaction times of the right and left hands.
Section 9.3
Question #5
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 0.02 significance level to test the claim that there is no difference between the reaction times of the right and left hands.
View the reaction time data table.
Reaction time data table
|
Right Hand
|
Left Hand
|
|
102
|
125
|
|
126
|
139
|
|
144
|
155
|
|
187
|
182
|
|
160
|
199 |
What are the hypotheses for this test?
Let μd be the _____________ ( A.
of the right and left hand reaction times.
H0: μd ________ ( A. =, B. ≠, C. <, D. >, E. ≤, F. ≥ ) 0
H1: μd _______ ( A. =, B. ≠, C. <, D. >, E. ≤, F. ≥ ) 0
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.)
A. The critical value is t = _____________.
B. The critical values are t = ± _____________.
What is the conclusion?
There _________ ( A. is, B. is not ) enough evidence to warrant rejection of the claim that there is____________ ( A. no difference, B. a difference ) between the reaction times of the right and left hands.
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