The daily temperatures in fall and winter months in Virginia have a mean of 62 times degree F 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 59 times degree F with a standard deviation of 6 point 2 1 times degree F Do the data provide convincing evidence at the alpha is equal to 0 point 0 5 level that the mean temperature in fall and winter months in southwest Virginia is less than 62 times degree F ? What hypotheses should the meteorologist use to conduct a significance test?