Three sets of five mice were randomly selected to be placed in a standard maze but with different color doors. The response is the time required to complete the maze as seen below. Perform the appropriate analysis to test if there is an effect due to door color. (Use α = 0.01) COLOR TIME Red 9 11 10 9 15 Green 20 21 23 17 30 Black 6 5 8 14 7
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Problem 3:
Three sets of five mice were randomly selected to be placed in a standard maze but with
different color doors. The response is the time required to complete the maze as seen below.
Perform the appropriate analysis to test if there is an effect due to door color. (Use α = 0.01)
COLOR TIME
Red 9 11 10 9 15
Green 20 21 23 17 30
Black 6 5 8 14 7
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- It is claimed that a vitamin supplement helps mice learn to run a maze more quickly and, in fact, to beat a non-treated mouse 70% of the time (whereas without the supplement, it would only win half of the time). To test this claim, you divide a group of 20 mice randomly into ten pairs, giving one of each pair the vitamin supplement. You run each pair through the maze and find that seven out of ten of the mice treated with the vitamin supplement beat the untreated mice. a) What is the probability of obtaining this result if the claim is true? b) What is the probability of obtaining this result if the claim is false (i.e., the supplement has no effect)? c) Suppose before you ran this experiment, you thought it was equally likely that the claim was true or false. After running the experiment, what is your belief? What is the updated probability?An archery target consists of a gold circle with radius of 5 inches surrounded by a red ring whose diameter is 20 inches. Next, there are three progressively larger rings – blue, black, and white. The diameter of each ring is 10 inches larger than the diameter of the previous ring. John is a beginner so his aim is poor and, if his arrow hits the target, its location on the target is completely at random. John shoots and then yells, “I hit it!” Without using your calculator, find the following probabilities. Write the answers as a percentage. a) The probability his arrow landed in the gold circle is ______. b) The probability his arrow landed in the white area is ______. c) The probability his arrow landed in the red or the blue area is ______.Two different labs, Rodent Racers and Squeeky Labs, measured the time for mice to complete a maze. The results are summarized in the following two boxplots. Squeeky Labs 8 15 20 25 28 Rodent Racers + -5 15 20 20 10 15 25 28 20 25 Completion Time (a) Which lab contained more mice? Rodent Racers Squeeky Labs Not enough information to tell. 30 30 (b) Which lab had the smallest completion time? Rodent Racers Squeeky Labs Not enough information to tell. + 30 30 (c) According to range, which lab had the smallest variation (smallest spread) in completion time? Rodent Racers Squeeky Labs Not enough information to tell.
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