Many homeowners. buy detectors to check tor the inmsrble gas radon :11 their homes. How accurate are these detectors? To answer this question= unit-'ersitj,r researchers placed 12 radon detectors in a chamber that exposed them to 195 picocuries per liter of radon. The detector readings Twere as fol lows : 91.9 9?.3 111.4 122.3 165.4 95.9 193.3 99.6 96.6 119.3 194.8 191.7Ir Is there convincing evidence that the mean reading of all detectors of this type differs from the true value 195 picocuries per liter of radon? Carry out a test in detail (*you rna}r assume any required conditions are met but give all other necessaryr information}. State your conclusion