Does the evidence support the idea that the average lecture consists of 3000 words if a random sample of the lectures of 16 professors had a mean of 3472 words, given the population standard deviation is 500 words? Use significance level 0.01. Assume that lecture lengths are *.approximately normally distributed 2 ) The population mean is equal to 3000 words The population mean does not equal to 3000 words The population mean is more than to 3000 words The population mean is less than 3000 words