SOLUTION: Suppose that the heights of adult women in the United States are normally distributed with a mean of 63.5 inches and a standard deviation of 2.2inches. Jennifer is taller than 70
Algebra.Com
Question 141200: Suppose that the heights of adult women in the United States are normally distributed with a mean of 63.5 inches and a standard deviation of 2.2inches. Jennifer is taller than 70% of the population of U.S. women. How tall (in inches) is Jennifer? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose that the heights of adult women in the United States are normally distributed with a mean of 63.5 inches and a standard deviation of 2.2inches. Jennifer is taller than 70% of the population of U.S. women. How tall (in inches) is Jennifer? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
---------------------------------
Draw a normal curve with mean = 63.5 in. and standard deviation of 2.2 in
---------------------------------
Put a point on the horizontal axis where 70% of the area under the curve
would be to the left. Label the point "x".
---------------------
Find the z-value of the point which has 70% of the area to the left. Use your chart to find that.
Ans: z = 0.5244
----------------
Find the value on your normal-curve sketch corresponding to z=0.5244
Use z = (x-u)/sigma
0.5244 = (x-63.5)/2.2
x-63.5 = 1.1537
x = 64.65 inches
========================
Cheers,
Stan H.
RELATED QUESTIONS
Suppose that the heights of adult women in the United States are normally distributed... (answered by Theo)
Suppose that the heights of adult women in the United States are normally distributed... (answered by stanbon)
Need help
Suppose that the heights of adult women in the United States are normally... (answered by vleith)
THis is homework can you help?
Suppose that the heights of adult women in the United... (answered by Edwin McCravy)
can someone please help me solve this? thank you
Suppose that the heights of adult... (answered by stanbon)
Assume that women have heights that are normally distributed with a mean of 63.6 inches... (answered by math_tutor2020)
Assume that women have heights that are normally distributed with a mean of 63.6 inches... (answered by Theo)
Assume that the heights of women are normally distributed with a mean of 63.6 inches and... (answered by ewatrrr)
Assume that women have heights that are normally distributed with a mean of 63.6 inches... (answered by math_tutor2020)