A manufacturing plant bought a new machine to package itsproduct. After some testing, the plant supervisor decided that thepackages needed about 300 packing peanuts to keep the product safe.She set the new machine to dispense the peanuts into each box butwanted to test to make sure the machine was operating correctly.She ran the machine 20 times and counted the number of packingpeanuts dispensed.
The plant conducts a one-mean hypothesis at the 5% significancelevel, to test if the the mean number of peanuts dispensed isdifferent from 300.
(a) H0:?=300; Ha:??300, which is a two-tailed test.
(b) Student test scores are given below.
Use Excel to test whether the mean number of peanuts dispensedis different from 300. Identify the test statistic, t, from theoutput, 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
test statistic =Â Â Â Â Â Â Â Â p-value =
