The daily temperatures in fall and winter months in virginia have a mean of 62of. a meteorologist in southwest virginia believes the mean temperature is colder in this area. the meteorologist takes a random sample of 30 daily temperatures from the fall and winter months over the last five years in southwest virginia. the mean temperature for the sample is 59of with a standard deviation of 6.21of. do the data provide convincing evidence at the level that the mean temperature in fall and winter months in southwest virginia is less than 62o f? what hypotheses should the meteorologist use to conduct a significance test?