Using the results from Problem 9, is the result of 31,465 girls in 60,654 births a result that is significantly high? Why or why not
Using the results from Problem 9, is the result of 31,465 girls in 60,654 births a result that is significantly high? Why or why not
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 16T
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Question
Using the results from Problem 9, is the result of 31,465 girls in 60,654 births a result that is significantly high? Why or why not?
![9. The above table includes 257,264 Hispanic babies. For groups of 257,264 babies, find the mean and
standard deviation for the number of girls, assuming that the probability of a girl is being born is the
rounded result from Problem 6. Round to four decimal places.
Mean = (131129+126135)/2
= 257264/2
= 128632
Standard Deviation sq rt(((131129 – 128632)^2 + (126135 – 128632)^2)/1)
= sq rt((2497)^2+(2497)^2)
= sq rt(2(2497)^2)
= 2497(sq rt(2))
= 2497 * 1.414
= 3530.758
P(girl) = 126135/257264
= 0.49 or 49%
Mean is 128,632. Standard Deviation is 3,530.758. The probability of getting a girl is 49%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52c456d4-c149-464a-9349-0b4de256f924%2Fe4466139-93fb-42cc-998c-7d28c2d67970%2Fqgt6kj_processed.png&w=3840&q=75)
Transcribed Image Text:9. The above table includes 257,264 Hispanic babies. For groups of 257,264 babies, find the mean and
standard deviation for the number of girls, assuming that the probability of a girl is being born is the
rounded result from Problem 6. Round to four decimal places.
Mean = (131129+126135)/2
= 257264/2
= 128632
Standard Deviation sq rt(((131129 – 128632)^2 + (126135 – 128632)^2)/1)
= sq rt((2497)^2+(2497)^2)
= sq rt(2(2497)^2)
= 2497(sq rt(2))
= 2497 * 1.414
= 3530.758
P(girl) = 126135/257264
= 0.49 or 49%
Mean is 128,632. Standard Deviation is 3,530.758. The probability of getting a girl is 49%.
![Other
African
American
Asian
Hispanic
White
Boy
31,465
14,051
131,129
72,242
12,208
Girl
29,189
13,653
126,135
68, 428
11,473](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52c456d4-c149-464a-9349-0b4de256f924%2Fe4466139-93fb-42cc-998c-7d28c2d67970%2F791irk4_processed.png&w=3840&q=75)
Transcribed Image Text:Other
African
American
Asian
Hispanic
White
Boy
31,465
14,051
131,129
72,242
12,208
Girl
29,189
13,653
126,135
68, 428
11,473
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