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The heights of two types of creatures, Digimon and Pokmon, are normally distributed. Pokmon have an average height of 68.5 inches with a standard deviation

The heights of two types of creatures, Digimon and Pokmon, are normally distributed. Pokmon have an average height of 68.5 inches with a standard deviation of 2.7 inches. Digimon have an average height of 65.6 inches and a standard deviation of 2.5 inches.

a. Agumon is a Digimon and is 3 standard deviations above the average height. How tall is it?

b. Arcanine is a Pokmon and is 74 inches tall. How many standard deviations above the average height is it?

c. Gatomon (Digimon) is 68 inches tall. Dratini (Pokmon) is 71 inches tall.

i. Calculate their z-scores

ii. Who is relatively taller for their creature type? Explain your reasoning.

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