Question

Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed. Write out null and alternative hypotheses, your critical t-score and your t-test statistic. Decide whether you would reject or fail to reject your null hypothesis.

Claim μ ≥ 13.9

α = 0.05

Sample statistics: x̅ = 13, s = 1.3, n = 10

H₀:

H_a:

t₀:

t-test statistic:

Decision:

Answer 1

Solution :

= 13.9

=13

S =1.3

n = 10

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :    = 13.9

Ha : ≥ 13.9

Test statistic = t

= ( - ) / S / n

= (13 -13.9 ) /1.3 / 10

= -2.189

Test statistic = t = -2.189

P-value = 0.9718

= 0.05  

P-value >

0.9718 > 0.05

Fail to reject the null hypothesis .

There is insufficient evidence to suggest that