WORK MUST BE SHOWN ON THIS QUESTION TO RECEIVE CREDIT. Test the clаim thаt the sаmples cоme frоm pоpulations with the same mean. Assume that the populations are normally distributed with the same variance. A consumer magazine wants to compare the lifetimes of ballpoint pens of three different types. The magazine takes a random sample of pens of each type in the following table. Brand 1 Brand 2 Brand 3 260 181 238 218 240 257 184 162 241 219 218 213 Do the data indicate there is a difference in the mean lifetime for the three brands of ballpoint pens? Use