SOLUTION: This is not out of a book this is homework - any help is greatly appreciated.
A machine is set to fill a small bottle with 9.0 grams of medicine. A sample of eight bottles revea
Algebra ->
Probability-and-statistics
-> SOLUTION: This is not out of a book this is homework - any help is greatly appreciated.
A machine is set to fill a small bottle with 9.0 grams of medicine. A sample of eight bottles revea
Log On
Question 119565: This is not out of a book this is homework - any help is greatly appreciated.
A machine is set to fill a small bottle with 9.0 grams of medicine. A sample of eight bottles revealed the following amounts (grams) in each bottle.
9.2 8.7 8.9 8.6 8.8 8.5 8.7 9.0
At the .01 significance level, can we conclude that the mean weight is less than 9.0 grams?
a. State the null hypothesis and the alternate hypothesis.
b. How many degrees of freedom are there?
c. Give the decision rule.
d. Compute the value of t. What is your decision regarding the null
hypothesis?
e. Estimate the p-value.
You can put this solution on YOUR website! A machine is set to fill a small bottle with 9.0 grams of medicine. A sample of eight bottles revealed the following amounts (grams) in each bottle.
9.2 8.7 8.9 8.6 8.8 8.5 8.7 9.0
At the .01 significance level, can we conclude that the mean weight is less than 9.0 grams?
a. State the null hypothesis and the alternate hypothesis.
Ho: mu=9 grams
Ha: mu<9
-----------------------
b. How many degrees of freedom are there?
n-1 = 7
--------------
c. Give the decision rule.
?????
d. Compute the value of t. What is your decision regarding the null
hypothesis?
x-bar = 8.8 grams ; df = 7; Alpha = 1%;
Test Statistic = (8.8-9)/[0.2268/sqrt(8))] = -.2/0.0802 = -2.4942
e. Estimate the p-value.
p-value = 0.0207
---------------------
Conclusion: Since p-value is greater than 1% there is insufficient
evidence to reject Ho.
=========================
Cheers,
Stan H.
(