Emergency, Help With Stats Please

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Discussion Overview

The discussion revolves around statistical problems related to probability distributions and histogram construction. Participants seek clarification on how to approach specific statistical questions involving a binomial distribution and the representation of data through histograms.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Conceptual clarification

Main Points Raised

  • One participant presents a problem involving the probability that the yields from 4 out of 6 randomly selected trees exceed a median yield of 2.8 boxes per tree, asking which distribution to use.
  • Another participant suggests that the distribution may not matter significantly if the number of trees is large, proposing the use of the binomial formula under the assumption that yields are evenly distributed around the median.
  • Questions arise regarding the value of p in the binomial distribution, with participants discussing the probability of a yield being above the median.
  • A participant speculates that the probability of a yield being above the median is 50%.
  • Another participant introduces a separate question about constructing a histogram for the asphalt content in paving material, seeking guidance on determining the number of bars and their widths for a sample of 200 batches.
  • A participant challenges the guessing approach regarding the median, prompting a clarification on its definition.

Areas of Agreement / Disagreement

There is no consensus on the approach to the initial probability problem, as participants express differing views on the distribution to use and the interpretation of the median. The discussion on histogram construction also remains unresolved, with participants seeking further clarification.

Contextual Notes

Participants express uncertainty regarding the assumptions needed for the binomial distribution and the specifics of histogram construction, including the definition of median and the implications of the sample size.

Who May Find This Useful

Students or individuals studying statistics, particularly those interested in probability distributions and data representation techniques.

Zythyr
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I have a problem which I can't figure out how to do. Can you please explain how to do it.

1) Six 6 trees are randomly selected from an orange grove. Assume the median yield in the entire grove is 2.8 boxes per tree. What is the probability that the yields from 4 of the 6 trees will exceed 2.8 boxes?

Which type of distribution would i use to solve this question?
 
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Zythyr said:
Which type of distribution would i use to solve this question?

It doesn't matter what the distribution is (assuming the number of trees is large and there aren't a lot of trees tied at 2.8). Just assume that half are above and half below and use the binomial formula.
 
X ~ Bin (n,p)

n=6, but what does p equal to?
 
Zythyr said:
X ~ Bin (n,p)

n=6, but what does p equal to?

What's the chance something is above the median?
 
CRGreathouse said:
What's the chance something is above the median?

I am guessing 50%?

Also I have another quick question

1. Highway paving material is a mix of asphalt, sand, gypsum, and other ingredients.
Several Abatches@ of paving material are mixed each day. Asphalt content differs from batch to
batch, with a normal distribution that has mean μ=100 lb per ton and standard deviation σ=6 lb
per ton.

a. (15 pts) Sketch a histogram that might represent a sample of 200 batches.

How would I draw a historgram for this? I mean, how would I figure out how many bars I need and what should the width of it be. If he just told me to draw the curve, I would be able to draw it, but how do i draw the histogram. I know the histogram to have a shape of the normal curve, but how many bars and what's the width?

What does it mean by 200 batches?
 
Why are you guessing? What is the definition of "median"?
 

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