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Name: 2. Medical research has shown that repeated wrist extension beyond 20
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Description: 2. Medical research has shown that repeated wrist extension beyond 20 degrees increases the risk of wrist and hand injuries. Each of 24 students at a university used a proposed new computer mouse design, and while using the mouse, each student's wris

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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2. Medical research has shown that repeated wrist extension beyond 20 degrees increases the risk of wrist and hand injuries. Each of 24 students at a university used a proposed new computer mouse design, and while using the mouse, each student's wrist extension was recorded. Data consistent with summary values given in a paper are shown. Use these data to test the hypothesis that the mean wrist extension for people using this new mouse design is greater than 20 degrees. (Use

? = 0.05.)

28	24	25	27	28	26	26	25	25	25	26	24
22	26	25	24	28	27	31	26	24	28	28	26

State the appropriate null and alternative hypotheses.

H₀: ? > 20

H_a: ? < 20

H₀: ? < 20

H_a: ? > 20

H₀: ? = 20

H_a: ? > 20

H₀: ? = 20

H_a: ? < 20

H₀: ? = 20

H_a: ? ≠ 20

Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)

t=P-value=

State your conclusion.

We reject H₀. We do not have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20 degrees.We fail to reject H₀. We do not have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20 degrees. We fail to reject H₀. We have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20 degrees.We reject H₀. We have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20 degrees.

Are any assumptions required in order for it to be appropriate to generalize the results of your test to the population of students from this university?

We need to assume that the 24 students used in the study are representative of all students who own PCs.We need to assume that the 24 students used in the study are representative of all students in computer science classes. We need to assume that the 24 students used in the study are representative of all students at the university.We need to assume that the 24 students used in the study are representative of all students who use a wireless mouse.We need to assume that the 24 students used in the study are representative of all students with a history of wrist or hand injuries.

Are any assumptions required in order for it to be appropriate to generalize the results of your test to the population of all university students?

We need to assume that the 24 students used in the study are representative of all students who use a wireless mouse.We need to assume that the 24 students used in the study are representative of all university students. We need to assume that the 24 students used in the study are representative of all students at the university.We need to assume that the 24 students used in the study are representative of all students who own PCs.We need to assume that the 24 students used in the study are representative of all students in computer science classes.

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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