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 15 daily temperatures from the fall and winter months over the last five years in southwest Virginia. The mean temperature for the sample is 58 times degree F with a standard deviation of 4 point 1 2 times degree F A significance test at an alpha level of α=0.05 produces a cap p -value of 0 point 0 0 1 What is the correct interpretation of the cap p -value?
Answer
A
There is a 0 point 1 percent probability that a sample mean temperature of 58 times degree F will occur by chance alone if the true mean temperature is 62 times degree F .
B
Assuming the true mean temperature is 62 times degree F , there is a 99 point 9 percent probability that a sample mean of 58 times degree F will occur by chance alone.
C
Assuming the true mean temperature is 62 times degree F , there is a 0 point 1 percent probability that the null hypothesis is true by chance alone.
D
There is a 0 point 1 percent chance that a sample mean temperature of at most 58 times degree F will occur by chance if the true mean temperature is 62 times degree F .