Girls’ and Women’s Heights According to the National Health Center, the heights of 6-year-old girls are Normally distributed with a mean of 45 inches and a standard deviation of 2 inches. a. In which percentile is a 6-year-old girl who is 46.5 inches tall? b. If a 6-year-old girl who is 46.5 inches tall grows up to be a woman at the same percentile of height, what height will she be? Assume women are distributed as N 64 , 2.5 .
Girls’ and Women’s Heights According to the National Health Center, the heights of 6-year-old girls are Normally distributed with a mean of 45 inches and a standard deviation of 2 inches. a. In which percentile is a 6-year-old girl who is 46.5 inches tall? b. If a 6-year-old girl who is 46.5 inches tall grows up to be a woman at the same percentile of height, what height will she be? Assume women are distributed as N 64 , 2.5 .
Solution Summary: The author explains the steps to determine the measurement from a percentile using the standard normal table in Appendix A.
Girls’ and Women’s Heights According to the National Health Center, the heights of 6-year-old girls are Normally distributed with a mean of 45 inches and a standard deviation of 2 inches.
a. In which percentile is a 6-year-old girl who is 46.5inches tall?
b. If a 6-year-old girl who is 46.5inches tall grows up to be a woman at the same percentile of height, what height will she be? Assume women are distributed as
N
64
,
2.5
.
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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A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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