Saturday

October 25, 2014

October 25, 2014

Posted by **Michael** on Sunday, October 28, 2012 at 9:48pm.

(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 10:14pmNormalize!

Calculate Z=(X-μ)/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 Z-score, 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 Z-score. To get this from the table, subtract the left tail from ONE to get the right-tail.

**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 a wooden dowel produced by a new 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...

Statistics - The diameters of a wooden dowel produced by a new machine are ...

Statistics - Assuming that the heights of college women are normally distributed...

math - 6) The annual precipitation amounts in a certain mountain range are ...

Statistics - The amount of rainfall in January in a certain city is normally ...