As part of their final project in AP stats, Christian and Rachel randomly select 18 rolls of toilet paper to measure how well this brand could absorb water. To do this, they poured a 1/4 cup of water onto a hard surface and counted how many squares of toilet paper it took to completely absorb the water. The mean number of squares needed was 24.94 and had standard deviation of 2.86 squares. Furthermore, the dot plot of the sample data showed no strong skew nor outliers. a) Construct and interpret a 95% confidence interval for true mean number of squares of toilet paper needed to absorb a 1/4 cup of water. b) The toilet paper manufacturer claims that a roll of toilet paper that contains 1150 squares can clean up 50 spills of a 1/4 cup of water. Does your confidence interval give convincing evidence of this claim? Explain. c) As it turns out you wrote down your data wrong. You had one of your 18 samples that actually took 54 sheets to completely absorb the water. Would this change your mind about using the procedure you did in part a? Explain.