Chat with us, powered by LiveChat

Sampling Distribution of Sample Variance

A random variable is obtained when a sample is drawn from a population to calculate the sample variance. The results are similar to that of sample mean. With a random sample of n that has a sample variance of S² from a population with a variance σ², then the resultant equation obtained is

X²=   where S²=

Where the variable has a chi square distribution with degrees of freedom, v= n-1 (chi square distribution is where represents the area under the distribution to its rights which is equal to a).

Sampling Distribution of Sample Variance 1

If  and  are independent variable random samples of n₁ and n₂, from two normal populations with the same variance, then F=  is another random variable obtained with degrees of freedom v₁= n₁-1 and v₂= -1.

Example:

If two independent random samples of size n₁ = 9 and n₂ = 16 are taken from the normal population, what is the probability that the variance of the first sample will be at least four times as large as that of the second sample ?

Solution:

V₁= 8, v₂= 15

= 4

From F distribution table, F₀.₀₁= 4

Therefore, the probability is 0.01.

 

Links of Previous Main Topic:-

Links of Next Statistics Topics:-

Featured Post

Get Homework Help from Best Tutors

 

 

  • #1 Homework Help Company.
  • Plagiarism-free work.
  • Budget Friendly.
  • Fast Service.
  • Assured high grades.

Frequently Asked Questions

Why use Myhomeworkhelp?

We provide you with the homework help from top experienced experts. Your satisfaction is a priority to us. Get better grades or money-back. It’s that risk-free! Furthermore, everything about you is kept confidential.

Why use Myhomeworkhelp?

We provide you with the homework help from top experienced experts. Your satisfaction is a priority to us. Get better grades or money-back. It’s that risk-free! Furthermore, everything about you is kept confidential.

How quickly can you help me with my homework?

We take pride in our 24×7 homework help services. Which means, student can approach us anytime, to get help even on short notices. As short as few hours! And yes, we provide complementary plagiarism-free report.

How can I trust you?

Myhomeworkhelp has completed over 25,000 homework help tasks over the last 8 years. But do not take our word for it! See our here and on Trustpilot. Your credit card information is not stored anywhere, and use of PayPal relies on their secure payment networks. Your identity, payment and homework help are in safe hands.

Who are your experts?

All our experts are highly qualified professionals – holding at least Master’s degree of their respective fields of expertise. We engage with experts from across the globe, to ensure learning never stops.

Is it a free-service?

No! We are provide paid service that requires a payment via a credit card, or a PayPal account. The subject-matter expert won’t work for free.

Is it a free-service?

No! We are provide paid service that requires a payment via a credit card, or a PayPal account. The subject-matter expert won’t work for free.

How costly are your homework help service?

We price our homework help at affordable costs, to provide best academic experience, without punching a hole in your pocket. To help you even further, we do accept partial payment (subject to our policy) to start working on your assignment help. You can pay the remaining amount when your task gets completed. No pressure of up-front payment.

Are you cheaper than other homework help services?

As with most things in life, you get what you pay for. With cheap offers on somewebsites, you will get your job messed up, with unexperienced experts, affecting your grades. Some other websites will require a subscription on a minimum or monthly plan. With us, you pay for what you need. We take pride in our experienced expert panel who will provide premium service, at affordable price without compromising quality above all else. Satisfaction assured, or money-back. And yes, we do offer new customer discounts!

How it works
YouTube video
Our Reviews
Ratings