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The heights of women follow an approximately normal distribution with a mean of 65 inches and...

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Statistics

The heights of women follow an approximately normal distributionwith a mean of 65 inches and a standard deviation of 3.5 inches.Use this information and a z-table to answer the followingquestions.

A. Bianca is 60 inches tall. Find the z-score for Bianca'sheight. Round your z-score to 2 decimal places.

B. Find the proportion of the population Bianca is taller than.Round your proportion to 4 decimal places.

C. What proportion of women are between 61.5 inches and 68.5inches? Round your answer to four decimal places.

D. Fill in the blank. Round your answer to one decimal place.25% of women are shorter than ______________ inches.

E. Fill in the blanks. Round your answers to one decimal place.The middle 60% of women have heights between _____________ inchesand _______________ inches.

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