Q1) A salad dressing machine is working properly when 8 ounces of salad are dispensed into a bottle. The standard deviation of the process is 0.15 ounce. A sample of 50 bottles is selected periodically and the filling is stopped if there is evidence that the mean amount dispensed is different from 8 ounces. Suppose that the mean amount dispensed in a sample of 50 bottles is 7.983 ounces. (a) Is there evidence that the average amount is different from 8 ounces? Test the hypothesis at 10% level of significance. (b) Find out the p-value for (a). Does it lead to the same conclusion in (a)?
Q1) A salad dressing machine is working properly when 8 ounces of salad are dispensed into a bottle. The standard deviation of the process is 0.15 ounce. A sample of 50 bottles is selected periodically and the filling is stopped if there is evidence that the mean amount dispensed is different from 8 ounces. Suppose that the mean amount dispensed in a sample of 50 bottles is 7.983 ounces. (a) Is there evidence that the average amount is different from 8 ounces? Test the hypothesis at 10% level of significance. (b) Find out the p-value for (a). Does it lead to the same conclusion in (a)?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![Q1)
A salad dressing machine is working properly when 8 ounces of salad are dispensed
into a bottle. The standard deviation of the process is 0.15 ounce. A sample of 50 bottles
is selected periodically and the filling is stopped if there is evidence that the mean
amount dispensed is different from 8 ounces. Suppose that the mean amount dispensed
in a sample of 50 bottles is 7.983 ounces.
(a) Is there evidence that the average amount is different from 8 ounces?
Test the hypothesis at 10% level of significance.
(b) Find out the p-value for (a). Does it lead to the same conclusion in (a)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a933f2e-6092-4417-84b9-1578735abdff%2Fb573facb-96c8-44b4-a93d-106b7d4c6c69%2Fucqxa_processed.png&w=3840&q=75)
Transcribed Image Text:Q1)
A salad dressing machine is working properly when 8 ounces of salad are dispensed
into a bottle. The standard deviation of the process is 0.15 ounce. A sample of 50 bottles
is selected periodically and the filling is stopped if there is evidence that the mean
amount dispensed is different from 8 ounces. Suppose that the mean amount dispensed
in a sample of 50 bottles is 7.983 ounces.
(a) Is there evidence that the average amount is different from 8 ounces?
Test the hypothesis at 10% level of significance.
(b) Find out the p-value for (a). Does it lead to the same conclusion in (a)?
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