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A postmix beverage machine is adjusted to release a certain amount of syrup into a chambe where it is mixed with carbonated water. A random sample of 25 beverages was found to have a mean syrup content of = 1.16 fluid ounces and the sample standard deviation is s= 0.014 fluid ounces. (a) Given this data, what assumption is needed to enable you to construct a confidence interval? (b) Find a 90% two-sided confidence interval on the mean volume dispensed. (c) Find a 90% upper bound for the mean volume dispensed. (d) If you are told that the true population standard deviation is = 0.014, find a 90% two-sided confidence interval on the mean volume dispensed.

A postmix beverage machine is adjusted to release a certain amount of syrup into a chambe where it is mixed with carbonated water. A random sample of 25 beverages was found to have a mean syrup content of = 1.16 fluid ounces and the sample standard deviation is s= 0.014 fluid ounces. (a) Given this data, what assumption is needed to enable you to construct a confidence interval? (b) Find a 90% two-sided confidence interval on the mean volume dispensed. (c) Find a 90% upper bound for the mean volume dispensed. (d) If you are told that the true population standard deviation is = 0.014, find a 90% two-sided confidence interval on the mean volume dispensed.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A postmix beverage machine is adjusted to release a certain amount of syrup into a chambe where it is mixed with carbonated water. A random sample of 25 beverages was found to have a mean syrup content of = 1.16 fluid ounces and the sample standard deviation is s= 0.014 fluid ounces. (a) Given this data, what assumption is needed to enable you to construct a confidence interval? (b) Find a 90% two-sided confidence interval on the mean volume dispensed. (c) Find a 90% upper bound for the mean volume dispensed. (d) If you are told that the true population standard deviation is = 0.014, find a 90% two-sided confidence interval on the mean volume dispensed.
Transcribed Image Text:A postmix beverage machine is adjusted to release a certain amount of syrup into a chambe where it is mixed with carbonated water. A random sample of 25 beverages was found to have a mean syrup content of = 1.16 fluid ounces and the sample standard deviation is s= 0.014 fluid ounces. (a) Given this data, what assumption is needed to enable you to construct a confidence interval? (b) Find a 90% two-sided confidence interval on the mean volume dispensed. (c) Find a 90% upper bound for the mean volume dispensed. (d) If you are told that the true population standard deviation is = 0.014, find a 90% two-sided confidence interval on the mean volume dispensed.
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