The daily temperatures in fall and winter months in Virginia have a mean of 62o 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 59oF with a standard deviation of 6.21oF. The meteorologist conducts a one-sample t-test for and calculates a P-value of 0.007.
Answer
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 62o 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 62o 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 62o 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 62o F.