Boys’ Foot Length (Example 6) According to the Digital Human Modeling Project, the distribution of foot lengths of 16-to 17-year-old boys is approximately Normal with a mean of 25.2 centimeters and a standard deviation of 1.2 centimeters. In the United States, a man’s size 11 shoe fits a foot that is 27.9 centimeters long. What percentage of boys of this age group will wear a size 11 shoe or larger? See page 316 for guidance.
Boys’ Foot Length (Example 6) According to the Digital Human Modeling Project, the distribution of foot lengths of 16-to 17-year-old boys is approximately Normal with a mean of 25.2 centimeters and a standard deviation of 1.2 centimeters. In the United States, a man’s size 11 shoe fits a foot that is 27.9 centimeters long. What percentage of boys of this age group will wear a size 11 shoe or larger? See page 316 for guidance.
Solution Summary: The author explains how to determine the percentage of boys who wear a shoe size 11 or larger.
Boys’ Foot Length (Example 6) According to the Digital Human Modeling Project, the distribution of foot lengths of 16-to 17-year-old boys is approximately Normal with a mean of 25.2 centimeters and a standard deviation of 1.2 centimeters. In the United States, a man’s size 11 shoe fits a foot that is 27.9 centimeters long. What percentage of boys of this age group will wear a size 11 shoe or larger? See page 316 for guidance.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
The masses measured on a population of 100 animals were grouped in the
following table, after being recorded to the nearest gram
Mass
89 90-109 110-129 130-149 150-169 170-189 > 190
Frequency 3
7 34
43
10
2
1
You are given that the sample mean of the data is 131.5 and the sample
standard deviation is 20.0. Test the hypothesis that the distribution of masses
follows a normal distribution at the 5% significance level.
state without proof
the uniqueness
theorm of probability
function
(a+b)
R2L
2+2*0=?
Ma
state without proof the uniqueness theorm
of probability function suppose thatPandQ
are probability measures defined on the
same probability space (Q, F)and that
Fis generated by a π-system if P(A)=Q(A)
tax for all A EthenP=Q i. e. P(A)=Q(A) for alla g
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