The daily temperatures in fall and winter months in Virginia have a mean of 62° 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°F with a standard deviation of 6.21°F. The meteorologist conducts a one-sample t-test for and calculates a P-value of 0.007. P At the α = 0.01 level, what is the correct conclusion for this test?
A. The meteorologist should reject the null hypothesis since 0.007 <0.01. There is convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62° F
B. The meteorologist should reject the null hypothesis since 0.007 <0.01. There is not convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62° F.
C. The meteorologist should fail to reject the null hypothesis since 0.007 < 0.01. There is convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62° F.
D. The meteorologist should fail to reject the null hypothesis since 0.007 < 0.01. There is not convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62° F.
