Question

A random sample of the ages of students who took Stat 3000 between 2012 and 2014 is: 19, 21, 26, 29, 30,

21, 24. Use R to carry out a hypothesis test to determine if the mean age of all students who took stat 3000

between 2012 and 2014 is different than 22. State your hypotheses and conclusions, attach your R code.

Answer 1

using R

we have

> x=c( 19, 21, 26, 29, 30,21, 24)
> x
[1] 19 21 26 29 30 21 24
> t.test(x,mu=22,alternative = c("two.sided"))

   One Sample t-test

data: x
t = 1.4292, df = 6, p-value = 0.2029
alternative hypothesis: true mean is not equal to 22
95 percent confidence interval:
20.37232 28.19911
sample estimates:
mean of x
24.28571

the null and alternative hypothesis is

the p value from r output is 0.2029 since p value is large so we accept the null hypothesis and conclude that

the mean age of all students who took stat 3000 between 2012 and 2014 is same as 22