standard deviation of 0.8 in. a) If the company wants to produce hats for all women except for those with the smallest 2.5% of head circumferences, what head circumference should be accommodated? b) If 64 women are randomly selected, what is the probability that their mean head circumference is less than 21 in.?

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6. Women have head circumferences that are normally distributed with a mean of 22.65 in. and a
standard deviation of 0.8 in.
a) If the company wants to produce hats for all women except for those with the smallest 2.5%
of head circumferences, what head circumference should be accommodated?
b) If 64 women are randomly selected, what is the probability that their mean head
circumference is less than 21 in.?
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Transcribed Image Text:6. Women have head circumferences that are normally distributed with a mean of 22.65 in. and a standard deviation of 0.8 in. a) If the company wants to produce hats for all women except for those with the smallest 2.5% of head circumferences, what head circumference should be accommodated? b) If 64 women are randomly selected, what is the probability that their mean head circumference is less than 21 in.? I Desktop 53°F S DELL F5 F6 F7 F8 F9 F10 F11 F12 PrtScr Inser 211 & 5 6 9. %3D T. Y. 1O
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