There are 3.76 x 10^22 tardigrades in 1gram of water. How many tardigrades are there in 600 grams of water? Write your answer in scientific notation. If necessary, round your answer to two decimal places. Show work to support your answer.

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.