A paint manufacturing company claims that the mean drying time for its paints is less than 45 minutes. A random sample of 30 gallons of paints selected from the production line of this company showed that the mean drying time for this sample is 44 minutes with a standard deviation of 5 minutes. Assume that the drying times for these paints have a normal distribution. Using the 2% significance level, would you conclude that the company’s claim is true? Conduct the appropriate test to determine, at the .02 level of significance, whether the average drying time is or is not less than 45 minutes. What is the predominant formula you will use to solve the problem?