2. The Rockstone Company has a contract to package cereal for one of the major c

Question

2. The Rockstone Company has a contract to package cereal for one of the major cereal companies. They are considering purchasing a new filling machine to use instead of the old one but only want to buy it if there is no difference in the standard deviation of the fill amount per box between the new and old machines. To test this, they plan to sample 20 boxes filled by the old machine and 15 boxes filled by the new machine a. State the appropriate null and alternative hypotheses. b. Assuming that the sample standard deviation for the old machine is.40 ounces and the sample standard deviation for the new machine is 0.30 ounces. Based on these sample data, test to determine whether the null hypothesis should be rejected if alpha .05 Put your answer on the back of the page

Explanation / Answer

Given that,
sample 1
s1^2=0.16, n1 =20
sample 2
s2^2 =0.09, n2 =15
null, Ho: ^2 = ^2
alternate, H1: ^2 != ^2
level of significance, = 0.05
from standard normal table, two tailed f /2 =2.861
since our test is two-tailed
reject Ho, if F o < -2.861 OR if F o > 2.861
we use test statistic fo = s1^1/ s2^2 =0.16/0.09 = 1.78
| fo | =1.78
critical value
the value of |f | at los 0.05 with d.f f(n1-1,n2-1)=f(19,14) is 2.861
we got |fo| =1.778 & | f | =2.861
make decision
hence value of |fo | < | f | and here we do not reject Ho
ANSWERS
---------------
null, Ho: ^2 = ^2
alternate, H1: ^2 != ^2
test statistic: 1.78
critical value: -2.861 , 2.861
decision: do not reject Ho
we do not have enough evidence to suppotr the claim

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.