3. The example from lectures (the liquid filling machine) is considered for the second time. We will again assume that the machine fills the canisters with liquid and volume of liquid (in liters) within each canister follows approximately the normal distribution N(μ, 2) and the amount of liquid in each canister is thought to be independent one another. This time, 16 measurement results have been collected and (again) we assume μ and σ² > 0 are unknown. Suppose now that the measurements (in liters) are as below y = (9.88, 10.11, 10.33, 10.47, 9.84, 10.17, 10.13, 10.58, 10.22, 10.72, 10.07, 10.33, 10.04, 10.45, 10.16, 9.47) Using the data determine (a) some one-sided 99% confidence interval for parameter μ. (b) two-sided symmetric 99% confidence interval for parameter μ.
3. The example from lectures (the liquid filling machine) is considered for the second time. We will again assume that the machine fills the canisters with liquid and volume of liquid (in liters) within each canister follows approximately the normal distribution N(μ, 2) and the amount of liquid in each canister is thought to be independent one another. This time, 16 measurement results have been collected and (again) we assume μ and σ² > 0 are unknown. Suppose now that the measurements (in liters) are as below y = (9.88, 10.11, 10.33, 10.47, 9.84, 10.17, 10.13, 10.58, 10.22, 10.72, 10.07, 10.33, 10.04, 10.45, 10.16, 9.47) Using the data determine (a) some one-sided 99% confidence interval for parameter μ. (b) two-sided symmetric 99% confidence interval for parameter μ.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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