34.9k views
5 votes
Consider H0: μ = 45 versus H1: μ < 45. A random sample of 25 observations produced a sample mean of 41.8. Using α = .025 and the population is known to be normally distributed with σ = 6.

User Matvey
by
8.2k points

1 Answer

7 votes
Given

H0: \ \mu=45 \\ \\ H1: \ \mu\ \textless \ 45
This is a one-tailed test.


z= (41.8-45)/(6/ √(25) ) = (-3.2)/(6/5) = (-3.2)/(1.2) =-2.6667


P(z\ \textless \ -2.6667)=0.00383

Since the p-value of the sample statistic (0.00383) is less that the significant level (0.025), we reject the null hypothesis.
User Patrick Parker
by
8.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories