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

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.)

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.

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