Amanufacturer of potato chips would like to know whether its bag filling machine works correctly at the 420 gram setting. it is believed that the machine is underfilling the bags. a 45 bag sample had a mean of 411 grams. assume the population variance is known to be 676. a level of significance of 0.02 will be used. find the p-value of the test statistic. you may write the p-value as a range using interval notation, or as a decimal value rounded to four decimal places.