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?

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.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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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 X₁1, 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?
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 X₁1, 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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