SOLUTION: According to the growth chart that doctors use as a reference, the heights of two-year-old boys are normally distributed with mean 34.5 inches and standard deviation 1.3 inches. If
Algebra.Com
Question 1182137: According to the growth chart that doctors use as a reference, the heights of two-year-old boys are normally distributed with mean 34.5 inches and standard deviation 1.3 inches. If six two-year old boys are selected, what is the probability that their average height will be between 34.1 and 35.2 inches.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
this is a z-test
z=(x bar-mean)/sigma/sqrt(n)
=(34.1-34.5)/1.3/sqrt(6)
=-0.4*sqrt(6)/1.3
=-0.753
and similarly, z=0.7*sqrt(6)/1.3=1.319
the probability z is between those two values is 0.6806
or
calculator 2ndVARS2nnormal cdf(34.1,35.2,34.5,(1.3/sqrt(6)))
=0.6809 (less rounding so slightly more accurate. Find out whether the z-value is to 2,3, or more decimal places.
RELATED QUESTIONS
In Country A, the population mean height for 3-year old boys is 39 inches. Suppose a... (answered by ewatrrr)
Assume that women have heights that are normally distributed with a mean of 63.6 inches... (answered by math_tutor2020)
If a random sample of eight 18-year-old men is selected, what is the probability that the (answered by VFBundy)
t is known that the height of ten-year old boys is normally distributed with a population (answered by Alan3354)
In an all boys school, the heights of the student body are normally distributed with a... (answered by VFBundy)
In an all boys school, the heights of the student body are normally distributed with a... (answered by Theo)
The heights of 18-year-old men are approximately normally distributed with mean 68 inches (answered by stanbon)
assuming that the heights of boys in a high school basketball tournament are normally... (answered by stanbon)
The heights of 18-year-old men are approximately normally distributed with mean 68 inches (answered by stanbon)