Question

Consider a sample of size 22 taken from a normal population. The sample mean is 2.625 and the sample standard deviation is 0.13. We test H_o: μ = 2.7 versus H₁: μ ≠ 2.7 at the α = 0.05 level. The rejection region and our decision are

Select one:

a.  t < - 1.721 & t > 1.721; REJECT Ho

b. t < - 2.080 & t > 2.080; REJECT Ho

c.  t < - 1.717 & t > 1.717; DO NOT REJECT Ho

d.  t < - 1.717 & t > 1.717; REJECT Ho

e. t < - 2.074 & t > 2.074; REJECT Ho

Answer 1

correct option is : b

b. t < - 2.080 & t > 2.080; REJECT Ho

### here our test is two tailed test :

hence critical value or reject region should be two sided value : - 2.080 and + 2.080

we reject Ho if t > 2.080 and t < -2.080

here t statistics < t critical value we reject Ho  

conclusion ; There is sufficient evidence to conclude that population mean is differ from 2.7