Stat 211 Handout 9 (Chapter 9): Inferences Based on Two Samples tests



Download 2.32 Mb.
Page11/26
Date28.05.2018
Size2.32 Mb.
#50527
1   ...   7   8   9   10   11   12   13   14   ...   26

(i) reject H0 if z  -z=-1.645. z =-5.84 < -1.645 then reject H0.

(ii) P-value = P(Z<-5.84)=P(Z>5.84)=0. Since the P-value  =0.05, reject H0.


Conclusion: Do not adopt plastic 1.
Example 2 (Exercise 9.2):

Sample sizes are large while population variances are unknown. Notice that this is a two-tailed test.



Test statistics: =4.8462

Decision:

(i) Reject H0 if z  -z/2=-1.96 or z  z/2 =1.96. z =4.8462 > 1.96 then reject H0.

(ii) P-value = 2P(Z>4.8462)=2(0)=0. Since the P-value  =0.05, reject H0.


Conclusion: true average tread lives for two competing brand tires are different.
If you prefer to answer the question computing the confidence interval, 95% confidence interval would become

=(1250.67, 2949.33). You would see that zero does not fall into interval and you would reject H0.


Download 2.32 Mb.

Share with your friends:
1   ...   7   8   9   10   11   12   13   14   ...   26




The database is protected by copyright ©ininet.org 2024
send message

    Main page