Sanjay made identical paper airplanes out of three different weights of paper, light medium, and heavy. He made four airplanes from each of the weights, and launched them himself across the room. Here are the distances (in meters) that his planes flew. Paper Type/Trial Trial 1 Trial 2 Trial 3 Trial 4 Heavy 5.1 meters 4.7 meters 4 meters 4.5 meters Medium. Light 3.1 meters 2.1 meters Heavy Weight of Paper Medium Light r b. C. d. 2 3 3.1 meters 3.5 meters 3.3 meters 5.3 meters 6.1 meters 1.9 meters. 15 4 Distance in Meters Take a look at the data in the graph. Look at the spread of data for each group (light, medium, heavy). Does it seem reasonable to assume a normal distribution with the same variance for each group? Yes or No and explain your choice. (2 marks) 5 96 Why is this a balanced design? (1 mark) Calculate the sample mean and sample standard deviation for each group. (2 marks) Does the weight of the paper have an effect on how far the plan will travel? Use a 1% level of significance. (5 marks)