What are the hypotheses for this test? Let μd be the (mean of differences/difference of the means) of the right and left hand reaction times.H0: μd (<, ≤, =, ≥, >, ≠) 0H1: μd(<, ≤, =, ≥, >, ≠) 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 values aret= ? B. The critical value ist= ? What is the conclusion? There (is/is not)enough evidence to warrant rejection of the claim that there is (a difference/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 iscaught 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 right240-and left hands.Click the icon to view the reaction time data table.180-120-100150200Right HandLeft Hand Reaction Time Data TableRight HandLeft Hand116131112143160176200191174230PrintDone

Right Left D (D-dbar)^2 116 131 -15 46.24 112 143 -31 84.64 160 176 -16 33.64 200 191 9…

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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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What are the hypotheses for this test?

Let μd be the (mean of differences/difference of the means) of the right and left hand reaction times.

H0: μd (<, ≤, =, ≥, >, ≠) 0

H1: μd(<, ≤, =, ≥, >, ≠) 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 values are

t= ?

B. The critical value is

t= ?

What is the conclusion?

There (is/is not)enough evidence to warrant rejection of the claim that there is (a difference/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
240-
and left hands.
Click the icon to view the reaction time data table.
180-
120-
100
150
200
Right Hand
Left Hand

Reaction Time Data Table
Right Hand
Left Hand
116
131
112
143
160
176
200
191
174
230
Print
Done

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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