The length of a rod was measured eight times. The measurements in centimeters, in the order they were taken, were 21.20, 21.22, 21.25, 21.26, 21.28, 21.30, 21.32, 21.35.
a. Do these measurements appear to be a random sample from a population of possible measurements? Why or why not?
b. Is it possible to estimate the uncertainty in these measurements? Explain.
(a) No, they are in increasing order, which would be highly unusual for a simple random sample.
(b) No, since they are not a simple random sample from a population of possible measurements, we cannot estimate the uncertainty.
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A manufacturer claims that the tensile strength of a certain composite (in MPa) has the lognormal distribution with ยต = 5 and ? = 0.5. Let X be the strength of a randomly sampled specimen of this composite.
a. If the claim is true, what is P(X <20)? b. Based on the answer to part (a), if the claim is true, would a strength of 20 MPa be unusually small? c. If you observed a tensile strength of 20 MPa, would this be convincing evidence that the claim is false? Explain. d. If the claim is true, what is P(X< 130)? e. Based on the answer to part (d), if the claim is true, would a strength of 130 MPa be unusually small? f. If you observed a tensile strength of 130 MPa, would this be convincing evidence that the claim is false? Explain.
A ____ system consists of a storage tank and an absorption field.
A. sanitary sewer B. septic C. field D. central
Most U.S. Angora goats are raised in Florida and Georgia
Indicate whether the statement is true or false
Write your definition of imperialism. Then use this definition to argue that the conduct of American foreign relations between 1890 and 1905 was or was not imperialistic.
What will be an ideal response?