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 25Explanation / 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.