Math  /  Math Statement

QuestionEngineers must design helmets to fit the normal distribution of male head breadths with μ=6.1\mu = 6.1-in and σ=1.2\sigma = 1.2-in.
Find the middle 99%99\% of head breadths: Between 3.713.71-in and 8.498.49-in.
Find the middle 99%99\% of sample averages for head breadths of size 6060: Between 5.865.86-in and 6.346.34-in.

Studdy Solution
The final answers are:
For the population: - The middle 99% of head breadths is expected to be between 3.00 inches and 9.20 inches.
For the sample means (size 60): - The middle 99% of the sample means for head breadths is expected to be between 5.70 inches and 6.50 inches.

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