A researcher is conducting a test to see if handedness (right or left) affects the speed at which people perform a particular task. The researcher only knows the order in which the contestants finished. When the data are summarized (with R for right-handed and L for left-handed) the order of finishing (fastest to slowest) was: R, R, R, R, L, R, L, R, L, L Is there statistically significant evidence of an effect of handedness on the speed? Test statistic: The name of the statistical table, degrees of freedom (if appropriate), and the numerical value of the critical value for this test: P-value: Circle an appropriate conclusion: • There is significant evidence that left-handed contestants will finish the task faster. • We cannot reject the hypothesis that handedness has no effect on the time to finish the task. • There is significant evidence that right-handed contestants will finish the task faster.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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A researcher is conducting a test to see if handedness (right or left) affects the speed at which people perform a particular task. The researcher only knows the order in which the contestants finished. When the data are summarized (with R for right-handed and L for left-handed) the order of finishing (fastest to slowest) was:

R, R, R, R, L, R, L, R, L, L

Is there statistically significant evidence of an effect of handedness on the speed?

Test statistic:

The name of the statistical table, degrees of freedom (if appropriate), and the numerical value of the critical value for this test:

P-value:

Circle an appropriate conclusion: •

There is significant evidence that left-handed contestants will finish the task faster. • We cannot reject the hypothesis that handedness has no effect on the time to finish the task. • There is significant evidence that right-handed contestants will finish the task faster.

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