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Medical research has shown that repeated wrist extension beyond 20 degrees incre

ID: 3362367 • Letter: M

Question

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. While using the mouse, each student's wrist extension was recorded. Data consistent with summary values given in a paper are given. 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.

Use a statistical computer package to calculate the P-value. Round your test statistic to two decimal places and your P-value to three decimal places.)

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

Explanation / Answer

Sol:

Null hypothesis:

Ho: =20

Alternative Hypothesis:

H1: 20

its two tail t test.

conduct t tets in R

code:

medresearch <- c(24, 28, 26, 27, 24 ,25, 25, 26, 26 ,26, 25, 28,

22, 25 , 26 , 28 , 24, 27, 31, 25, 28, 24, 24, 25)

t.test(medresearch,alternative="greater",mu=20)

output:

One Sample t-test

data: medresearch
t = 14.851, df = 23, p-value = 1.411e-13
alternative hypothesis: true mean is greater than 20
95 percent confidence interval:
25.12326 Inf
sample estimates:
mean of x
25.79167

t=14.85

p= 1.411e-13=0.000000000000000013

ANSWER P=0.0000

REJECT NULL HYPOTHESIS

THERE IS SUFFICIENT EVIDENCE AT 5% LEVEL OF SIGNIFICANCE TO SUPPORT THE CLIAM THAT the mean wrist extension for people using this new mouse design is greater than 20 degrees.