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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)?

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)
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)?
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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