Question 6 The height of girls follows a normal distribution with mean u = 170 cm and the variance a2 = 16 cm?, while the height of boys is normal distribution with mean u = 174 cm and the variance o2 = 9 cm2. The height of a random sample of 10 girls and a random sample of 10 boys is measured. Calculate the probability that in this sample the average height of the girls exceeds that average height of the boys. %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
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Question 6
The height of girls follows a normal distribution with mean u = 170 cm and the variance
o2 = 16 cm?, while the height of boys is normal distribution with mean u = 174 cm and
the variance o2 = 9 cm2. The height of a random sample of 10 girls and a random sample
of 10 boys is measured. Calculate the probability that in this sample the average height of
the girls exceeds that average height of the boys.
Transcribed Image Text:Question 6 The height of girls follows a normal distribution with mean u = 170 cm and the variance o2 = 16 cm?, while the height of boys is normal distribution with mean u = 174 cm and the variance o2 = 9 cm2. The height of a random sample of 10 girls and a random sample of 10 boys is measured. Calculate the probability that in this sample the average height of the girls exceeds that average height of the boys.
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