est problem prompts below please show all work places if needed a A researcher in the Physics department was studying the behavior of a particle in motion The researcher ran several tests and came up with an average speed of 5 5 m s Although they got a good number they lost one of the data points Speed m s 5 6 5 7 5 5 Test 4 5 6 Speed m s 5 5 f st 5 4 Test 7 8 9 Speed m s 9 4 5 2 5 3 What had to have been the result of test 5 for our average to be 5 5 m s 5 2 5 3 5 4 5 5 5 5 5 6 5 4 2 4 5 6 b Going back through the data the researcher also noticed that one of the points was an outlier Identify the outlier and solve for the missing test value again but this time without including the outlier Is there a difference c The test of the outlier turned out to be a computer error thankfully though they is official missing value now