(2) Women have head circumferences that are normally distributed with a mean of 22.7 in. and a standard deviation of 0.8 in. (Note: The following work is required For part (a) and (b) of this problem, (i) sketch a normal curve (ii) label the mean and any specific x value(s) with proper scales and (iii) shade the region representing the desired/given probability) (a) If the hats by Leko company produces women's hats that fit head circumferences over 23 in, what percentage of women can fit into these hats? (b) If 64 women are randomly selected, what is the probability that their mean head circumference over 23.00 in.? Low (c) If the probability in part (b) is high, does it suggest that an order for 64 hats of size lower than 23 in. will very likely fit each of 64 randomly selected women? Why or why not?
(2) Women have head circumferences that are normally distributed with a mean of 22.7 in. and a standard deviation of 0.8 in. (Note: The following work is required For part (a) and (b) of this problem, (i) sketch a normal curve (ii) label the mean and any specific x value(s) with proper scales and (iii) shade the region representing the desired/given probability) (a) If the hats by Leko company produces women's hats that fit head circumferences over 23 in, what percentage of women can fit into these hats? (b) If 64 women are randomly selected, what is the probability that their mean head circumference over 23.00 in.? Low (c) If the probability in part (b) is high, does it suggest that an order for 64 hats of size lower than 23 in. will very likely fit each of 64 randomly selected women? Why or why not?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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