Among American women aged 20-29 years, 10% are less than 60.8 inches tall, 80% are between 60.8 inches and 67.6 inches tall, and

Question

3 years ago

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Among American women aged 20-29 years, 10% are less than 60.8 inches tall, 80% are between 60.8 inches and 67.6 inches tall, and

10% are more than 67.6 inches tall. Assuming that the height distribution can adequately be approximated by a normal curve, find the mean and standard deviation of the distribution. Use empirical rule to explain answer.

Mathematics

1 answer:

Alex17521 [72] · Answer 1 · 2022-08-28T14:09:29+03:00

You are expected to use a z-score table to find how many standard deviations correspond to having 10% outside the bounds. It is like having 68% within 1σ. The table interpolates.

I'm sorry I looked everywhere and I still cannot find how to calculate with the data provided. I'm new to stats so any help is appreciated, if there is any more information let me know and I could solve it.