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Statistics help needed?
Many homeowners buy detectors to check for the invisible gas radon in their homes. How accurate are these detectors? To answer this question, university researchers placed 12 radon detectors in a chamber that exposed them to 105 picocuries per liter of radon. The detector readings were as follows.(/ are used to separate the numbers)
96.9/ 96.9/ 94.8/ 101.8/ 107.4/ 99.7/ 96.2/ 103.2/ 107.4/ 103.2/ 99.7/ 116.5
What is the t and what is the p-value? I tried doing the T-test on my calculator but I can't figure out what to put for μ? Help is greatly appreciated. Thanks.
Some numbers were cut off in the question: Here are the remaining numbers
96.2, 103.2, 107.4 103.2 99.7, 116.5
1 Answer
- 7 years ago
You want to see if the detectors are accurate. You exposed them to 105 picocuries per liter of radon. If they are accurate, they should read 105. Mu is the population average. In this case you should use 105 as mu. The question is do the sample readings differ significantly from 105 (what you exposed them to). A single sample t-test yields a t value of 1.697 and a p-value is .118. In other words, it looks like the detectors are accurately reading 105. It seems likely that these values could have been drawn from a population with a mean of 105.
