SOLUTION: The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.83 inches and a standard deviation of 0.46 inches. Show all work.
(A) What percentag
Algebra.Com
Question 693969: The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.83 inches and a standard deviation of 0.46 inches. Show all work.
(A) What percentage of the grapefruits in this orchard is larger than 5.92 inches?
(B) A random sample of 100 grapefruits is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 5.92 inches?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.83 inches and a standard deviation of 0.46 inches. Show all work.
(A) What percentage of the grapefruits in this orchard is larger than 5.92 inches?
-----
z(5.92) = (5.92-5.83)/0.46 = 0.1957
------
P(x > 5.92) = P(z > 0.1957) = 0.4224
============================================
(B) A random sample of 100 grapefruits is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 5.92 inches?
---
the std will be 0.46/sqrt(100) = 0.046
-------
z(x-bar = 5.92) = (5.92-5.83)/0.046 = 1.9565
P(x-bar > 5.92) = normalcdf(1.9565,100) = 0.0252
===================================
Cheers,
Stan H.
======================
RELATED QUESTIONS
Please help me with this.!!!
The diameters of grapefruits in a certain orchard are... (answered by stanbon)
The diameters of grapefruits in a certain orchard are normally distributed with a mean... (answered by stanbon)
Help,
The diameters of grapefruits in a certain orchard are normally distributed with... (answered by stanbon)
The diameters of grapefruits in a certain orchard are normally distributed with a mean... (answered by stanbon)
I need HELP badly.
The diameters of grapefruits in Jones Orchard are NORMALLY... (answered by ewatrrr)
The diameters of grapefruits in a certain orchard are normally distributed with a mean of (answered by stanbon)
Please help...am so confused...taking stats online and have no teacher...thanks a bunch
(answered by stanbon)
PLEASE HELP ME IM BEGGING! IM having issues with thress question!
1.)Find the area... (answered by stanbon)
The diameters of oranges in a certain orchard are normally distributed with a mean of... (answered by stanbon)