Posted by Michael on Sunday, October 28, 2012 at 9:48pm.
The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.52 inches and a standard deviation of 0.46 inches
(A) What percentage of the grapefruits in this orchard is larger than 5.45 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 5.45 inches

Math  MathMate, Sunday, October 28, 2012 at 10:14pm
Normalize!
Calculate Z=(Xμ)/σ
where
Z = Z score found in standard normal distribution tables
X = value of random variable, the diameter of 5.45 inchs
μ = mean diameter of population, 5.52 inches
σ = standard deviation of population, 0.46 inch.
Look up a standard normal distribution, which is usually given in percentage of population less than the Zscore, i.e. left tail (but check if this is the case).
What you need is the right tail, i.e. percentage of population greater than the Zscore. To get this from the table, subtract the left tail from ONE to get the righttail.
Answer This Question
Related Questions
 statistics  The diameters of grapefruits in a certain orchard are normally ...
 statistics  The diameters of apples in a certain orchard are normally ...
 statistics  The diameters of apples in a certain orchard are normally ...
 Math  The diameters of bolts produced by a certain machine are normally ...
 measurements  Which is the following is the best deal? A: six small grapefruits...
 Elementary Statistics  The diameters of pencils produced by a certain machine ...
 math  The diameters of pencils produced by a certain machine are normally ...
 Statistics  Assuming that the heights of college women are normally distributed...
 Statistics  Assuming that the heights of college women are normally distributed...
 Math  he annual precipitation for one city is normally distributed with a mean ...
More Related Questions