In: Statistics and Probability
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.