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Data Analysis: Statistical and Computational Methods for by Siegmund Brandt

By Siegmund Brandt

1. 1 commonplace difficulties of information research each department of experimental technology, after passing via an early level of qualitative description, matters itself with quantitative experiences of the phe­ nomena of curiosity, i. e. , measurements. as well as designing and engaging in the test, an importal1t job is the actual review and entire exploitation of the information got. allow us to record a couple of regular difficulties. 1. A learn is made up of the load of laboratory animals lower than the impression of varied medicines. After the applying of drug A to twenty-five animals, a standard bring up of five % is saw. Drug B, used on 10 animals, yields a three % elevate. Is drug A more beneficial? The averages five % and three % supply virtually no resolution to this question, because the decrease worth could have been brought on by a unmarried animal that misplaced weight for a few unrelated cause. One needs to consequently research the distribution of person weights and their unfold round the usual worth. furthermore, one has to make a decision even if the variety of try out animals used will allow one to distinguish with a definite accuracy among the consequences of the 2 medications. 2. In experiments on crystal development it's necessary to preserve precisely the ratios of the various parts. From a complete of 500 crystals, a pattern of 20 is chosen and analyzed.

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Extra info for Data Analysis: Statistical and Computational Methods for Scientists and Engineers

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Subroutine GRWNWC establishes a window in world coordinates . . . . . . . . Subroutine GRSTCL sets the color index . . . . Subroutine GRPLIN draws a polyline. . . . . Subroutine GRBRPL draws a polyline with selected line type Subroutine GRMARK draws a polymarker . . . . . . Subroutine GRDATP draws a data point with error bars and covariance ellipse . . . . . . . . . . . . Subroutine GRHSDR draws a histogram . . . . . . Subroutine GRPLCT draws the contour line f (x, y) = c of a function f as a line segment in the (x, y) plane .

Subroutine GROPWS opens a graphics workstation Subroutine GRCLWS closes a graphics workstation Subroutine GRWNCC establishes a window in computing coordinates . . . . . . . . . . . . . Subroutine GRVWWC sets the viewport in world coordinates Subroutine GRSTFR establishes the picture format on the workstation . . . . . . . . . . . . Subroutine GRWNWC establishes a window in world coordinates . . . . . . . . Subroutine GRSTCL sets the color index . . . . Subroutine GRPLIN draws a polyline.

Solve the problem by working through the following questions: (a) What is the number N of possibilities to distribute the n birthdays over the year (365 days)? (b) How large is the number N' of possibilities for which all n birthdays are different? (c) How large then is the probability Pdiff that the birthdays are different? (d) How large finally is the probability P that at least two birthdays are not different? 14 2. 2 Probability for Non-exclusive Events The probabilities P(A), P(B), and P(AB} #- 0 for non-exclusive events A and B are given.

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