A coffee machine is supposed to dispense 8 ounces (oz) of coffee into a paper cup. In reality, the amounts dispensed vary from cup to cup. However, if the machine is working properly, the standard deviation of the amounts dispensed should be less than 0.4 oz. To test this, a random sample of 15 cups was taken, and it give a standard deviation of 0.255 oz. At the 5% significance level, do the data provide sufficient evidence to conclude that the standard deviation of the amounts being dispensed is less than 0.4 oz? Why is it important that the standard deviation of the amounts of coffee being dispensed not be too large?
A coffee machine is supposed to dispense 8 ounces (oz) of coffee into a paper cup. In reality, the amounts dispensed vary from cup to cup. However, if the machine is working properly, the standard deviation of the amounts dispensed should be less than 0.4 oz. To test this, a random sample of 15 cups was taken, and it give a standard deviation of 0.255 oz. At the 5% significance level, do the data provide sufficient evidence to conclude that the standard deviation of the amounts being dispensed is less than 0.4 oz? Why is it important that the standard deviation of the amounts of coffee being dispensed not be too large?
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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A coffee machine is supposed to dispense 8 ounces (oz) of coffee into a paper cup. In reality, the amounts dispensed vary from cup to cup. However, if the machine is working properly, the standard deviation of the amounts dispensed should be less than 0.4 oz. To test this, a random sample of 15 cups was taken, and it give a standard deviation of 0.255 oz.
- At the 5% significance level, do the data provide sufficient evidence to conclude that the standard deviation of the amounts being dispensed is less than 0.4 oz?
- Why is it important that the standard deviation of the amounts of coffee being dispensed not be too large?
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