How JustAnswer Works:

  • Ask an Expert
    Experts are full of valuable knowledge and are ready to help with any question. Credentials confirmed by a Fortune 500 verification firm.
  • Get a Professional Answer
    Via email, text message, or notification as you wait on our site.
    Ask follow up questions if you need to.
  • 100% Satisfaction Guarantee
    Rate the answer you receive.

Ask Ryan Your Own Question

Ryan
Ryan, Engineer
Category: Calculus and Above
Satisfied Customers: 7316
Experience:  B.S. in Civil Engineering
40260889
Type Your Calculus and Above Question Here...
Ryan is online now
A new question is answered every 9 seconds

You are hired as a statistical analyst for Silvers Gym, and

Resolved Question:

You are hired as a statistical analyst for Silver’s Gym, and your boss wants to examine the relationship between body fat and weight in men who attend the gym. After compiling the data for weight and body fat of 252 men who attend Silver’s Gym, you find it relevant to examine the statistical measures and to perform hypothesis tests and regression analysis to help make general conclusions for body fat and weight in men.

Part I: Statistical Measures

Statistics is a very powerful topic that is used on a daily basis in many situations. For example, you may be interested in the age of the men who attend Silver’s Gym. You could not assume that all men are the same age. Thus, it would be an inaccurate measure to state that "the average age of men who attend Silver’s Gym is the same age as me."

Averages are only one type of statistical measurements that may be of interest. For example, your company likes to gauge sales during a certain time of year and to keep costs low to a point that the business is making money. These various statistical measurements are important in the world of statistics because they help you make general conclusions about a given population or sample.

To assist in your analysis for Silver’s Gym, answer the following questions about the Body Fat Versus Weight data set:

Click here to download the Body Fat Weight data set.

Calculate the mean, median, range, and standard deviation for the Body Fat Versus Weight data set. Report your findings, and interpret the meanings of each measurement. Notice you are to calculate the mean, median, range, and standard deviation for the body fat and for the weight.
The measures of central tendency are important in real-world situations.

What is the importance of finding the mean/median? Why might you find this information useful?
In some data sets, the mean is more important than the median. For example, you want to know your mean overall grade average because the median grade average would be meaningless. However, you might be interested in a median salary to see the middle value of where salaries fall. Explain which measure, the mean or the median, is more applicable for this data set and this problem.
What is the importance of finding the range/standard deviation? Why might you find this information useful?
Part II: Hypothesis Testing

Organizations sometimes want to go beyond describing the data and actually perform some type of inference on the data. Hypothesis testing is a statistical technique that is used to help make inferences about a population parameter. Hypothesis testing allows you to test whether a claim about a parameter is accurate or not.

Your boss makes the claim that the average body fat in men attending Silver’s Gym is 20%. You believe that the average body fat for men attending Silver’s Gym is not 20%. For claims such as this, you can set up a hypothesis test to reach one of two possible conclusions: either a decision cannot be made to disprove the body fat average of 20%, or there is enough evidence to say that the body fat average claim is inaccurate.

To assist in your analysis for Silver’s Gym, consider the following steps based on your boss’s claim that the mean body fat in men attending Silver’s Gym is 20%:

First, construct the null and alternative hypothesis test based on the claim by your boss.
Using an alpha level of 0.05, perform a hypothesis test, and report your findings. Be sure to discuss which test you will be using and the reason for selection. Recall you found the body fat mean and standard deviation in Part I of the task.
Based on your results, interpret the final decision to report to your boss.
Submitted: 9 months ago.
Category: Calculus and Above
Expert:  Ryan replied 9 months ago.
Hi,

Thank you for your question.

Here is the solution:

Silver'sGymPt1&2(Word)

Silver'sGymPt1&2(Excel)

Please check to be sure that the data set used in these solutions matches with the data set that you have. It's always possible that small changes have been made which will affect the solutions. If you find that to be the case, please let me know. I'll be happy to make any necessary adjustments.

Also, please feel free to ask if you have any questions about these solutions.

Thanks,

Ryan

Ryan, Engineer
Satisfied Customers: 7316
Experience: B.S. in Civil Engineering
Ryan and other Calculus and Above Specialists are ready to help you

JustAnswer in the News:

 
 
 
Ask-a-doc Web sites: If you've got a quick question, you can try to get an answer from sites that say they have various specialists on hand to give quick answers... Justanswer.com.
JustAnswer.com...has seen a spike since October in legal questions from readers about layoffs, unemployment and severance.
Web sites like justanswer.com/legal
...leave nothing to chance.
Traffic on JustAnswer rose 14 percent...and had nearly 400,000 page views in 30 days...inquiries related to stress, high blood pressure, drinking and heart pain jumped 33 percent.
Tory Johnson, GMA Workplace Contributor, discusses work-from-home jobs, such as JustAnswer in which verified Experts answer people’s questions.
I will tell you that...the things you have to go through to be an Expert are quite rigorous.
 
 
 

What Customers are Saying:

 
 
 
  • Wonderful service, prompt, efficient, and accurate. Couldn't have asked for more. I cannot thank you enough for your help. Mary C. Freshfield, Liverpool, UK
< Last | Next >
  • Wonderful service, prompt, efficient, and accurate. Couldn't have asked for more. I cannot thank you enough for your help. Mary C. Freshfield, Liverpool, UK
  • This expert is wonderful. They truly know what they are talking about, and they actually care about you. They really helped put my nerves at ease. Thank you so much!!!! Alex Los Angeles, CA
  • Thank you for all your help. It is nice to know that this service is here for people like myself, who need answers fast and are not sure who to consult. GP Hesperia, CA
  • I couldn't be more satisfied! This is the site I will always come to when I need a second opinion. Justin Kernersville, NC
  • Just let me say that this encounter has been entirely professional and most helpful. I liked that I could ask additional questions and get answered in a very short turn around. Esther Woodstock, NY
  • Thank you so much for taking your time and knowledge to support my concerns. Not only did you answer my questions, you even took it a step further with replying with more pertinent information I needed to know. Robin Elkton, Maryland
  • He answered my question promptly and gave me accurate, detailed information. If all of your experts are half as good, you have a great thing going here. Diane Dallas, TX
 
 
 

Meet The Experts:

 
 
 
  • SusanAthena

    Master's Degree

    Satisfied Customers:

    98
    Tutor for Algebra, Geometry, Statistics. Explaining math in plain English.
< Last | Next >
  • http://ww2.justanswer.com/uploads/homeworklady/2008-11-24_125231_susannewavatar.jpg SusanAthena's Avatar

    SusanAthena

    Master's Degree

    Satisfied Customers:

    98
    Tutor for Algebra, Geometry, Statistics. Explaining math in plain English.
  • http://ww2.justanswer.com/uploads/ED/educatortech/2012-6-7_1256_williams4.64x64.jpg Mr. Gregory White's Avatar

    Mr. Gregory White

    Master's Degree

    Satisfied Customers:

    93
    M.A., M.S. Education / Educational Administration
  • http://ww2.justanswer.com/uploads/CO/CosumelEyes/2012-5-4_4923_Profile.64x64.jpg Ray Atkinson's Avatar

    Ray Atkinson

    Bachelor's Degree

    Satisfied Customers:

    45
    Degrees in Math, Education and Accounting, years and years of tutoring.
  • http://ww2.justanswer.com/uploads/SO/sonofGauss/2012-6-6_20151_PortraitLHW.64x64.jpg JACUSTOMER-yrynbdjl-'s Avatar

    JACUSTOMER-yrynbdjl-

    Master's Degree

    Satisfied Customers:

    42
    I have a MS in Mathematics and I have taught Mathematics for 10 years at the college level.
  • http://ww2.justanswer.com/uploads/dhouse1940/2010-09-02_133023_DSCN2406.jpg dhouse1940's Avatar

    dhouse1940

    Master's Degree

    Satisfied Customers:

    33
    BS mathematics, MS biostatistics, 35+ yrs designing & analyzing biological experiments.
  • http://ww2.justanswer.com/uploads/AR/arubin9/2012-2-4_42617_ArthurRubinedit.64x64.jpg Dr Arthur Rubin's Avatar

    Dr Arthur Rubin

    Doctoral Degree

    Satisfied Customers:

    32
    Ph.D. in Mathematics, 1978, from the California Institute of Technology, over 20 published papers
  • http://ww2.justanswer.com/uploads/DO/Donbacongamer/2012-3-6_2337_mathmaster.64x64.jpg Don's Avatar

    Don

    Master's Degree

    Satisfied Customers:

    29
    M.S. Astronautical Engineering. Math/Sci/Comp Tutor