The Food and Drug Administration (FDA) oversees the approval of both medical devices and new drugs. To gain FDA approval, a new device must be shown to perform at least as well, and hopefully better, than any similar device already on the market. Suppose a medical device company develops a new system for connecting ntravenous tubes used on hospital patients. To be comparable to an already-existing product, the force required o disconnect two tubes joined by the new device must not exceed 5 lb. To estimate the maximum force required to disconnect two tubes, several tests are made. For a random sample of n connections, the forces X₁, X2, X3, . .., <ʼn required to disconnect the tubes are recorded and the maximum, M, of the n readings is used to estimate the maximum necessary force for all such connections. Suppose that the actual distribution of forces needed to disconnect tubes can be described by a uniform distribution on the interval [2, 4]. For a sample of size n = 2, do you expect the mean of the sampling distribution of M to be closer to 2 or 4?
The Food and Drug Administration (FDA) oversees the approval of both medical devices and new drugs. To gain FDA approval, a new device must be shown to perform at least as well, and hopefully better, than any similar device already on the market. Suppose a medical device company develops a new system for connecting ntravenous tubes used on hospital patients. To be comparable to an already-existing product, the force required o disconnect two tubes joined by the new device must not exceed 5 lb. To estimate the maximum force required to disconnect two tubes, several tests are made. For a random sample of n connections, the forces X₁, X2, X3, . .., <ʼn required to disconnect the tubes are recorded and the maximum, M, of the n readings is used to estimate the maximum necessary force for all such connections. Suppose that the actual distribution of forces needed to disconnect tubes can be described by a uniform distribution on the interval [2, 4]. For a sample of size n = 2, do you expect the mean of the sampling distribution of M to be closer to 2 or 4?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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![The Food and Drug Administration (FDA) oversees the approval of both medical devices and new drugs. To gain FDA approval, a new device must be shown to perform at least as well, and hopefully better, than any similar device already on the market. Suppose a medical device company develops a new system for connecting intravenous tubes used on hospital patients. To be comparable to an already-existing product, the force required to disconnect two tubes joined by the new device must not exceed 5 lb. To estimate the maximum force required to disconnect two tubes, several tests are made. For a random sample of n connections, the forces x₁, x₂, x₃, ..., xₙ required to disconnect the tubes are recorded and the maximum, M, of the n readings is used to estimate the maximum necessary force for all such connections.
Suppose that the actual distribution of forces needed to disconnect tubes can be described by a uniform distribution on the interval [2, 4]. For a sample of size n = 2, do you expect the mean of the sampling distribution of M to be closer to 2 or 4?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb78840cf-991a-43cf-baf3-7d430789620d%2F6024ca7d-1c1f-4608-ac1b-ff6ab425f957%2Fby0e88_processed.png&w=3840&q=75)
Transcribed Image Text:The Food and Drug Administration (FDA) oversees the approval of both medical devices and new drugs. To gain FDA approval, a new device must be shown to perform at least as well, and hopefully better, than any similar device already on the market. Suppose a medical device company develops a new system for connecting intravenous tubes used on hospital patients. To be comparable to an already-existing product, the force required to disconnect two tubes joined by the new device must not exceed 5 lb. To estimate the maximum force required to disconnect two tubes, several tests are made. For a random sample of n connections, the forces x₁, x₂, x₃, ..., xₙ required to disconnect the tubes are recorded and the maximum, M, of the n readings is used to estimate the maximum necessary force for all such connections.
Suppose that the actual distribution of forces needed to disconnect tubes can be described by a uniform distribution on the interval [2, 4]. For a sample of size n = 2, do you expect the mean of the sampling distribution of M to be closer to 2 or 4?
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Here we are drawing a random sample of size 2 from U[2, 4] which represents the forces required to disconnect tubes.
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