Aspire Mountain Academy
  • Home
  • About
  • Courses
  • Terms of Service
  • Contact

Finding the area under a normal distribution curve using StatCrunch

1/4/2019

4 Comments

 

Intro

Howdy!  I'm Professor Curtis of Aspire Mountain Academy here with more statistics homework help.  Today we're going to learn how to find the area under a normal distribution curve using StatCrunch.  Here's our problem statement: Find the area of the shaded region.  The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

Solution

OK, to find the area for the shaded region, we could use the tables that we have links to here in the problem.  But I find it's much easier to just use StatCrunch instead of the tables for solving a problem like this.  We can use the tables, but it requires us to find the area under the curve to the left of each value and then subtract the one from the other to get the area in between.  With StatCrunch, all you do is just put the numbers in the calculator and it does all that hard heavy lifting for you.  So that's what we're going to do to solve this problem.

So I'm going to open up StatCrunch.  And I don't necessarily need anything in the data table.  I just need the functionality that StatCrunch provides so I can get into that calculator for my distribution.  It says the scores are normally distributed, so I want the normal calculator.  To get that, I go to Stat --> Calculators --> Normal.

Now here it says that the mean of the distribution is 100 and the standard deviation is 15. So I'm going to put those values in here in my calculator.  And I'm looking for the area in between two values.  So I want to come up here and select the Between option.  And then I just come down here and put those two values that I want to get the area in between.  And when I press Compute!, out comes the area in between those two values.  That is the area in between the shaded region, which is same as the probability of selecting something between those two values.  So I'm going to put my answer in my answer field.  Good job!

And that's how we do it at Aspire Mountain Academy.  Be sure to leave your comments below.  Let us know how good a job we did or how we can improve.  And if your stats teacher is boring or just doesn't want to help you learn stats, go to aspiremountainacademy.com, where you can learn more about accessing our lecture videos or provide feedback on what you'd like to see.  Thanks for watching!  We'll see you in the next video.
4 Comments
Moe
11/14/2019 05:49:29 pm

Awesome!

Reply
Nanette
2/7/2021 11:58:06 am

nice

Reply
Eddy
4/9/2021 12:44:54 pm

Statcrunch is great but showing how to solve step by tep works better no statcrunch on test or quizzes

Reply
Alexis
4/29/2021 08:29:52 pm

Your teaching has been LIFE SAVING. I'm currently taking Statistics virtually and I've learned more through your videos than anything provided from my professor. THANK YOU <3

Reply



Leave a Reply.

    Author

    Frustrated with a particular MyStatLab/MyMathLab homework problem?  No worries!  I'm Professor Curtis, and I'm here to help.

    Archives

    July 2020
    June 2020
    May 2020
    April 2020
    March 2020
    February 2020
    January 2020
    July 2019
    June 2019
    May 2019
    April 2019
    March 2019
    February 2019
    January 2019
    December 2018
    November 2018
    October 2018
    September 2018
    August 2018
    July 2018
    June 2018
    May 2018
    April 2018
    March 2018
    February 2018
    January 2018

    RSS Feed

Stats

Lecture Videos
Homework Help
Problem Index

Company

About
The Company
Courses

Support

Contact
FAQ
Terms of Use
© COPYRIGHT 2018-2020. ALL RIGHTS RESERVED.
Aspire Mountain Academy is a division
of Aspire Mountain Media LLC,

  • Home
  • About
  • Courses
  • Terms of Service
  • Contact