A random sample of 12 observations taken from a population that is normally distributed produced a sample mean of 42.4 and a standard deviation of 8. Find the range for the p-value and the critical and observed values of t for each of the following tests of hypotheses using, a = 0.01. Use the t distribution table to find a range for the p-value. Round your answers for the values of t to three decimal places. a. Ho: = 46 versus H: < 46. i < p-value