# Normal distribution problem: Mean = 10; SD = 2; X=8, X=12A farmer believes that the yields of his tomato plants have a normal distribution with an average yield of 10 lbs. and a standard deviation of 2 lbs. The farmer would like to identify the plants which yield the highest 5% and save them for breeding purposes.  Calculate the yield which separates the highest 5% of yields from the lowest 95% of yields.Q: Do I use a Norm.Dist function in Excel to calculate the highest 5% and the lowest 95%?Thanking you in advance for your help!

Question
24 views

Normal distribution problem: Mean = 10; SD = 2; X=8, X=12

A farmer believes that the yields of his tomato plants have a normal distribution with an average yield of 10 lbs. and a standard deviation of 2 lbs. The farmer would like to identify the plants which yield the highest 5% and save them for breeding purposes.  Calculate the yield which separates the highest 5% of yields from the lowest 95% of yields.

Q: Do I use a Norm.Dist function in Excel to calculate the highest 5% and the lowest 95%?

check_circle

star
star
star
star
star
2 Ratings
Step 1

The provided information are:

Step 2

Let X be the random variable the average yield of tomato plants. It is given that X follows normal distribution with mean = 10 lbs. and standard deviation = 2 lbs.

It is required to find the value of x1 for P(X < x1) = 0.95.

Step 3

The value of x1 can be calcula...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

### Hypothesis Testing 