During the laying of gas pipelines, the depth of the pipeline (in $ mathrm mm $ ) must be controlled One service provider recorded depths of 418 428 431 420 412 425 423 433 417 420 410 431 429 425 (a) Find the sample mean (b) Find the sample standard deviation (c) Find the coefficient of variation ...

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During the laying of gas pipelines, the depth of the pipeline (in $mathrm{mm}$ ) must be controlled.

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During the laying of gas pipelines, the depth of the pipeline (in $\mathrm{mm}$ ) must be controlled. One service provider recorded depths of

418	428	431	420	412	425	423
433	417	420	410	431	429	425

(a) Find the sample mean.

(b) Find the sample standard deviation.

(d) Measurements by another service provider have a sample mean of 425 and standard deviation of 6.36. Which provider's set of measurements is relatively more variable?

Data From Deviation 6.36

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Probability And Statistics For Engineers

ISBN: 9780134435688

9th Global Edition

Authors: Richard Johnson, Irwin Miller, John Freund

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Question Posted: Apr 19, 2024 02:00 PM

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During the laying of gas pipelines, the depth of the pipeline (in $mathrm{mm}$ ) must be controlled.

Question:

6.36 Let X1, X2, and X3 be independent normal variables with E(X1)= 5 and = 9 E(X2)=-2 and = 2.25 E(X3)=5 and = 4 (a) Show that 2X1 +2X2 +5X3 has a normal distri- bution. (b) Find the mean and the variance of the random vari- able in part (a).

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Probability And Statistics For Engineers

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