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In: Statistics and Probability

An aneroid sphygmomanometer is a mechanical device used to measure blood pressure. A simple random sample...

An aneroid sphygmomanometer is a mechanical device used to measure blood pressure. A simple random sample of these devices is tested for accuracy and the errors​ (mm Hg) are listed below. One of the devices is considered to be unacceptable if its error is more than 3 mm Hg. The criterion for concluding that the sample is from a population of unacceptable devices is σ >1.5 mm Hg. Use a 0.10 significance level with the sample data to test the claim that the sample is from a population with a standard deviation greater than 1.5 mm Hg. Assume that the population is normally distributed.

-2 -10 2 4 9 11 -14 -11 2 4 -7

Find the test statistic.

Find the P-value.

Since the​ P-value is ___ the level of​ significance, ______ the null hypothesis. There _____ sufficient evidence to conclude that the sample is from a population of unacceptable devices.

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