Just how slippery are banana peels on the floor? “Slipperiness” can be measured by the frictional coefficient. A small value for the coefficient indicates less friction (more slippery) than a larger value. Ice on steel has a frictional coefficient of about 0.02, whereas wood on concrete has a coefficient of 0.6. Below are 41 measurements of the frictional coefficients of banana skins on linoleum, with the slippery side down (Mabuchi et al. 2012).

n=41; ΣY=2.347; ΣY²=0.148515

a. What is the mean frictional coefficient for banana skins on linoleum?

b. What is the 95% confidence interval for the mean banana peel frictional coefficient?

c. Based on this confidence interval, are banana peels less slippery than ice?

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