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1. Suppose the amount of cola dispensed by a filling machine follows a normal distribution with the mean u and the standard deviation o. Select the Calculators option in the Stat menu and then the Normal option. This applet contains a graph of the normal density function and a calculator that enables you to calculate normal probabilities when the parameters µ and o are provided . Use the applet to answer the following questions: (a) Assume that the mean amount dispensed by the machine is set at u=300 ml. Describe what happens to the fraction of underfilled bottles , that is containing less than 300 ml when the standard deviation o decreases or increases? In general, how does the magnitude of the standard deviation affect the filling process? ree (b) Now assume that the mean amount dispensed by the machine is set at u=302 ml. Enter the value of o as 2 ml. Calculate the fraction of bottles underfilled that is, containing less than 300 ml in this case? What would be the fraction of underfilled bottles if o were 1 ml and 0.5 ml? In general, what is the effect of decreasing standard deviation o on the fraction of bottles underfilled?

1. Suppose the amount of cola dispensed by a filling machine follows a normal distribution with the mean u and the standard deviation o. Select the Calculators option in the Stat menu and then the Normal option. This applet contains a graph of the normal density function and a calculator that enables you to calculate normal probabilities when the parameters µ and o are provided . Use the applet to answer the following questions: (a) Assume that the mean amount dispensed by the machine is set at u=300 ml. Describe what happens to the fraction of underfilled bottles , that is containing less than 300 ml when the standard deviation o decreases or increases? In general, how does the magnitude of the standard deviation affect the filling process? ree (b) Now assume that the mean amount dispensed by the machine is set at u=302 ml. Enter the value of o as 2 ml. Calculate the fraction of bottles underfilled that is, containing less than 300 ml in this case? What would be the fraction of underfilled bottles if o were 1 ml and 0.5 ml? In general, what is the effect of decreasing standard deviation o on the fraction of bottles underfilled?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1. Suppose the amount of cola dispensed by a filling machine follows a normal distribution with the mean u and the standard deviation o. Select the Calculators option in the Stat menu and then the Normal option. This applet contains a graph of the normal density function and a calculator that enables you to calculate normal probabilities when the parameters µ and o are provided . Use the applet to answer the following questions: (a) Assume that the mean amount dispensed by the machine is set at u=300 ml. Describe what happens to the fraction of underfilled bottles , that is containing less than 300 ml when the standard deviation o decreases or increases? In general, how does the magnitude of the standard deviation affect the filling process? are (b) Now assume that the mean amount dispensed by the machine is set at u=302 ml. Enter the value of o as 2 ml. Calculate the fraction of bottles underfilled that is, containing less than 300 ml in this case? What would be the fraction of underfilled bottles if o were 1 ml and 0.5 ml? In general, what is the effect of decreasing standard deviation o on the fraction of bottles underfilled?
Transcribed Image Text:1. Suppose the amount of cola dispensed by a filling machine follows a normal distribution with the mean u and the standard deviation o. Select the Calculators option in the Stat menu and then the Normal option. This applet contains a graph of the normal density function and a calculator that enables you to calculate normal probabilities when the parameters µ and o are provided . Use the applet to answer the following questions: (a) Assume that the mean amount dispensed by the machine is set at u=300 ml. Describe what happens to the fraction of underfilled bottles , that is containing less than 300 ml when the standard deviation o decreases or increases? In general, how does the magnitude of the standard deviation affect the filling process? are (b) Now assume that the mean amount dispensed by the machine is set at u=302 ml. Enter the value of o as 2 ml. Calculate the fraction of bottles underfilled that is, containing less than 300 ml in this case? What would be the fraction of underfilled bottles if o were 1 ml and 0.5 ml? In general, what is the effect of decreasing standard deviation o on the fraction of bottles underfilled?
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