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
Asked Nov 12, 2019
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%?

Thanking you in advance for your help!

check_circle

Expert Answer

star
star
star
star
star
2 Ratings
Step 1

The provided information are:

help_outline

Image Transcriptionclose

Population mean (u) = 10 Standard deviation (o)=2

fullscreen
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...

help_outline

Image Transcriptionclose

X- P(X <x)P = P Z< =0.95

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

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

Math

Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Suppose that the distribution of Writing SAT scores from your state this year is normally distribute...

A: Given,For male, mean (μ) =480 and standard deviation (σ) =110.For female, mean (μ) =500 and standard...

question_answer

Q: Students taking the GMAT were asked about their undergraduate major and intent to pursue their MBA a...

A: A.Joint probability table for these data is obtained below:The probability of the event is,

question_answer

Q: A consumer group is investigating a producer of diet meals to examine if its prepackaged meals actua...

A: The hypotheses are given below:

question_answer

Q: Question: The General Social Survey asked respondents, If ever married, how old were you when you fi...

A: Given dataSample mean = 22.15Sample standard deviation = 4.885Sample size (n) = 26540

question_answer

Q: Free dessert: In an attempt to increase business on Monday nights, a restaurant offers a free desser...

A: Note:Hey there! Thank you for the question. Since your question has more than 3 parts, according to ...

question_answer

Q: Question Help magazine routinely checks the drive-through service times of fast-food restaurants. A ...

A: Given dataConfidence interval = 95%n = 568lower bound = 162.2upper bound = 165.495% confidence inter...

question_answer

Q: Billiard tables have mean degree of balance 0 and standard deviation 1 What is the probability ...

A: It is given that the degree of balance is normally distributed with mean 0 and standard deviation is...

question_answer

Q: I need help with this question. Warranty records show that the probability that a new car needs a wa...

A: The probability that none needs a warranty repair is obtained below:Binomial distribution:The probab...

question_answer

Q: [S9] A cell phone manufacturer claims that the batteries in its latest model provide 20 hour. contin...

A: a) From the given information, the claim of the problem is testing whether the mean battery life is ...