P. 402 #11. Set H0=30, H1 is not equal 30. (This is a two-tail test)
Test statistic = (32.2-30)/(1.4/sqrt (40))=9.938587. Norm.s.dist(9.938587)=1. P-value=2*(1-1)=2*0=0. Since P-value < alpha, we reject H0.
P. 402 #12. Set H0=16.2, H1 is not equal 16.2. (This is a two-tail test)
Test statistic = (32-16.2)/(4.7)=3.361702128. Norm.s.dist(3.361702128)=0.9996126818085
. P-value=2*(1-0.9996126818085)=2*0.0003873181915=0.000774636. If we let alpha=1%. P-value < alpha, we reject H0.
In this case, 32 is possibly the new mean of the population living near a high-level electromagnetic field. Since it is normally distributed, use normal distribution to test the new mean. We are not considering sample mean in this problem. That is why we use s.d. = 4.7
Hello Professor Han, I am quite confused about questions #11 on page 402. I don’t know how to begin. HELP!!!!!!!!!!
P. 402 #11. Set H0=30, H1 is not equal 30. (This is a two-tail test)
Test statistic = (32.2-30)/(1.4/sqrt (40))=9.938587. Norm.s.dist(9.938587)=1. P-value=2*(1-1)=2*0=0. Since P-value < alpha, we reject H0.
Can you do numbef 12 too?
P. 402 #12. Set H0=16.2, H1 is not equal 16.2. (This is a two-tail test)
Test statistic = (32-16.2)/(4.7)=3.361702128. Norm.s.dist(3.361702128)=0.9996126818085
. P-value=2*(1-0.9996126818085)=2*0.0003873181915=0.000774636. If we let alpha=1%. P-value < alpha, we reject H0.
32 is not n?
In this case, 32 is possibly the new mean of the population living near a high-level electromagnetic field. Since it is normally distributed, use normal distribution to test the new mean. We are not considering sample mean in this problem. That is why we use s.d. = 4.7
Is section 9.4 on the exam?
t-distribution is not on tomorrow’s exam.