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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6010 • Linear Models

Spring 2010 • Question 11

Question

Math 6010 • Linear Models Spring 2010 • Question 11

The following data are times (in hours) between failures of air conditioning equipment in a particular airplane: \[ 74\quad 57\quad 48\quad 29\quad 502\quad 12\quad 70\quad 21\quad 29\quad 386\quad 59\quad 27\quad 153\quad 26\quad 326. \] Assume that the data are observed values of an i.i.d. random sample from an exponential distribution, \(X_i\sim \operatorname {Exponential}(\theta )\). Test \(H_0:\theta =125\) versus \(H_a:\theta \ne 125\). (A chi-square table is provided.)

Raw LaTeX

The following data are times (in hours) between failures of air
conditioning equipment in a particular airplane:
\[
74\quad 57\quad 48\quad 29\quad 502\quad 12\quad 70\quad 21\quad 29\quad
386\quad 59\quad 27\quad 153\quad 26\quad 326.
\]
Assume that the data are observed values of an i.i.d. random sample from an
exponential distribution, \(X_i\sim\EXP(\theta)\). Test \(H_0:\theta=125\) versus
\(H_a:\theta\ne125\). (A chi-square table is provided.)

Topic Tags

Estimator Distributions F-Tests and t-Tests Multivariate Normal Distributions Uniform Integrability and Truncation Methods