fbpx

Sampling distribution | Statistics homework help

I need help on problem 26.  Please show all work. see sample for homework layout.

 I NEED BY 10 AM CENTRAL TIME.

The main topic for this chapter is that “xbar (as well as pbar) will approximately follow a normal distribution when sample size n gets larger (usually it means n>=30)”.  What if n is small (i.e., n<30)? In this situation, when will need to know an additional condition to have xbar follow a normal distribution. That is, “when sampling from a normal population or in other words, we have a normal population, then xbar follows a normal distribution for any n (i.e., n is not necesarry to be large as stated above)”. As you can see, pbar will not have this luck (why? since the population X=0 (no), and 1 (yes), does not follow a normal distribution). Therefore, for p-bar to follow a normal distribution, we always have n>=30. In fact, pbar is just another xbar with observations 0, and 1. For instance, pbar is the percentage of students living in Sugar Land from 100 students enrolled at a university. So, every student can be coded as 0 (no) or 1 (yes), and pbar, the % of students living in SL, is the sample mean, xbar, with observations of 0 or 1.

By knowing Xbar (and Pbar) followed a normal distribution, you need to know further that the mean of xbar equals to the population mean, mu, and the s.d. of xbar equals to the population s.d. sigma/sqrt(n), where the population mean and the population s.d. sigma will be given in a question). In other words, for xbar, E(Xbar)=the population mean, mu, and s.d.(Xbar)=sigma/sqrt(n). And, the E(Pbar)=the population mean, p, and the s.d.(Pbar)=sqrt(p*(1-p)/n), since for this special case, the population s.d. sigma=sqrt(p*(1-p)).

After knowing the above theoretic reulsts, the stats functions to find the P(Xbar<a), P(Xbar>b), or P(a<Xbar<b) will be norm.dist providing with proper mean and the s.d. (what are the proper mean and s.d. for xbar? Again, the E(xbar) is in Equation 7.1and the s.d.(xbar) is in Equation 7.2).  Please do not use norm.s.dist in this chapter; otherwise, you are partially manually finding the z, then plug it into the stats function norm.s.dist.

Paper Writing Center
Calculate your paper price
Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Professional and Experienced Academic Writers

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

24/7 Customer Support

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

Calculate the price of your order

Total price:
$0.00

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

Essays

Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.

Admissions

Admission Essays & Business Writing Help

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.

Reviews

Editing Support

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.

Reviews

Revision Support

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.