23. Women have head circumferences that are normally distributed with a mean given by u=23.23 in, and a standard deviation given by o=1.1 in. a. If a hat company produces women's hats so that they fit head circumferences between 22.9 in. and 23.9 in., what is the probability that a randomly selected woman wl be able to fit into one of these hats? The probability is b. If the company wants to produce hats to fit all women except for those with the smallest 1.5% and the largest 1.5% head circumferences, what head circumferences should be accommodated? The minimum head circumference accommodated should be in. The maximum head circumference accommodated should be in. с. If 16 women are randomly selected, what is the probability that their mean head circumference is between 22.9 in and 23.9 in.? The probability is

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23.
Women have head circumferences that are normally distributed with a mean given
by µ=23.23 in, and a standard deviation given by o=1.1 in.
a.
If a hat company produces women's hats so that they fit head circumferences
between 22.9 in. and 23.9 in., what is the probability that a randomly selected woman will
be able to fit into one of these hats?
The probability is
b.
If the company wants to produce hats to fit all women except for those with the
smallest 1.5% and the largest 1.5% head circumferences, what head circumferences should
be accommodated?
The minimum head circumference accommodated should be
in.
The maximum head circumference accommodated should be
in.
C.
If 16 women are randomly selected, what is the probability that their mean head
circumference is between 22.9 in and 23.9 in.?
The probability is
d.
If this probability is high, does it suggest that an order of 16 hats will very likely fit
each of the 16 randomly selected women?
O A. No, the hats must fit individual women, not the mean from 16 women.
B. Yes, an order of 16 hats will very likely fit each of 16 randomly selected women.
Transcribed Image Text:23. Women have head circumferences that are normally distributed with a mean given by µ=23.23 in, and a standard deviation given by o=1.1 in. a. If a hat company produces women's hats so that they fit head circumferences between 22.9 in. and 23.9 in., what is the probability that a randomly selected woman will be able to fit into one of these hats? The probability is b. If the company wants to produce hats to fit all women except for those with the smallest 1.5% and the largest 1.5% head circumferences, what head circumferences should be accommodated? The minimum head circumference accommodated should be in. The maximum head circumference accommodated should be in. C. If 16 women are randomly selected, what is the probability that their mean head circumference is between 22.9 in and 23.9 in.? The probability is d. If this probability is high, does it suggest that an order of 16 hats will very likely fit each of the 16 randomly selected women? O A. No, the hats must fit individual women, not the mean from 16 women. B. Yes, an order of 16 hats will very likely fit each of 16 randomly selected women.
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