Sixteen randomly chosen people

Sixteen randomly chosen people suffering from excess weight areplaced on a year-long exercise regimen and their weights before andafter are compared. The claim is that this exercise regimen willallow participants to lose an average of at least 20 lbs in a year.After one year, the weight losses for each participant weremeasured. The sample data were plotted and found to follow anapproximately Normal distribution with no outliers. The averageweight loss in this group was 24.7 lbs. with a sample standarddeviation of 12.4 lbs. (Please only answer one part at a time togive other students a chance to answer as well! Start with thefirst one!) 1. Explain the circumstances under which it isappropriate to use a z-procedure and under which circumstances oneshould use a t-procedure. What is the appropriate procedure to usein this case? 2. State the null hypothesis and the alternativehypothesis for this test. Is it one-sided or two-sided? 3. What isthe degree of freedom of this statistical test? 4. Calculate thetest statistic for this scenario. 5. Based on these results, can weconclude at the 5% significance level that the exercise regimenproduces the claimed average weight loss? 6. What about the 10%significance level?


Given :-

Sample size n = 16

= 24.7 lbs

S = 12.4 lbs

= 20 lbs

Part 1). We use Z procedure when we know the population standarddeviation i.e

t procedure is used when we are given sample standard deviationi.e S

So,in our case we have sample standard deviation, hence we goingto use t test

Part 2). H0 = = 20 Vs. H1 = > 20

In Alternative hypothesis we have used greater than (>) sign,hence it is one sided test

Part 3). sample size is 16, hence degree of freedom for t testis n-1 = 16-1 = 15

So, degree of freedom is 15.

Part 4) Test Statistic t = ( ) / (S / )

Putting the values t = ( 24.7 – 20 ) / (12.4 / ) = 1.52

Part 5). Test Criteria :- Reject H0 at 5% level ofsignificance if t > t0.05,15

t0.05,15 = 1.753, So here 1.52 < 1.753m

Result :- Do not reject null hypothesis at 5% level ofsignificance i.e  = 20, exercise regimen will allow participants to lose an averagenot more than 20 lbs.

Part 6). = 10% = 0.1 So, t0.1,15 = 1.341

Compare  t0.1,15 with the calculate valueof t,  t > t0.1,15 = 1.52 > 1.341

Result :- We accept the alternative hypothesis at 10% level ofsignificance i.e > 20,  exercise regimen will allow participants tolose an average of at least 20 lbs in a year.

"Our Prices Start at $11.99. As Our First Client, Use Coupon Code GET15 to claim 15% Discount This Month!!"
Calculate the price
Make an order in advance and get the best price
Pages (550 words)
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
How it works
Receive a 100% original paper that will pass Turnitin from a top essay writing service
step 1
Upload your instructions
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Pro service tips
How to get the most out of your experience with
One writer throughout the entire course
If you like the writer, you can hire them again. Just copy & paste their ID on the order form ("Preferred Writer's ID" field). This way, your vocabulary will be uniform, and the writer will be aware of your needs.
The same paper from different writers
You can order essay or any other work from two different writers to choose the best one or give another version to a friend. This can be done through the add-on "Same paper from another writer."
Copy of sources used by the writer
Our college essay writers work with ScienceDirect and other databases. They can send you articles or materials used in PDF or through screenshots. Just tick the "Copy of sources" field on the order form.
See why 20k+ students have chosen us as their sole writing assistance provider
Check out the latest reviews and opinions submitted by real customers worldwide and make an informed decision.
Customer reviews in total
Current satisfaction rate
3 pages
Average paper length
Customers referred by a friend
15% OFF your first order
Use a coupon FIRST15 and enjoy expert help with any task at the most affordable price.
Claim my 15% OFF Order in Chat

Sometimes it is hard to do all the work on your own

Let us help you get a good grade on your paper. Get professional help and free up your time for more important courses. Let us handle your;

  • Dissertations and Thesis
  • Essays
  • All Assignments

  • Research papers
  • Terms Papers
  • Online Classes