A manufacturing plant bought a new machine to package its product. After some testing, the plant supervisor decided that the packages needed about 300 packing peanuts to keep the product safe. She set the new machine to dispense the peanuts into each box but wanted to test to make sure the machine was operating correctly. She ran the machine 20 times and counted the number of packing peanuts dispensed. The plant conducts a one-mean hypothesis at the 5 % significance level, to test if the the mean number of peanuts dispensed is different from 300 . (a) H 0 : = 300 ; H a : 300 , which is a two-tailed test. (b) Student test scores are given below. Use Excel to test whether the mean number of peanuts dispensed is different from 300 . Identify the test statistic, t , from the output, rounding to two decimal places. 286 291 268 305 321 311 295 341 325 280 295 329 296 340 335 307 325 310 331 291