Sunday, July 19, 2020

Weekly Math Problem! #12

Solving A STATISTICS Word Problem. One of my favorite sections of math is stats😍 I really like it because it was the first time I really noticed math that I learned in school all around me--in advertisements, commercials, in education, in finance, in the medical field, pharmaceuticals, etc. This is one area in mathematics that I want to be so much more comfortable with and better at. I have a few books that I've purchased over the years from the time I first started learning and understanding stats in undergrad until now. Two of those titles include The Humongous Book of Statistics Problems by W. M. Kelley and R. A. Donnelly Jr., and Statistics in a Nutshell, Second Edition by Sarah Boslaugh. Of course there are also electronic textbooks and stats PDF files in my possession. **Does anyone else scour the internet for PDF files? 👀 Asking for a friend. 😅** Also, because I tutor statistics, I make sure to have resources on hand to refer to, so that the people I work with get the best help they can get from me. I have also purchased and read Numbers Rule Your World by Kaiser Fung. I need to read this book again. I enjoyed it the first time I read it and definitely wouldn't mind reading it again.

Even though I really like statistics, word problems can definitely be annoying. If you're like me, you need to read word problems at least three times before feeling comfortable enough to start solving. 

To solve this week's problem in completion, you need to recall the following math skills:

    ✔️  Working with normally distributed data
    ✔️  Working with "small" sample sizes
    ✔️  How to conduct a t-test
    ✔️  Hypothesis testing 
    
Here is WMP! #12...


Happy solving! 
Check back on Friday, July 24th for the solution, which will be posted below ⬇️.

Shameless plug: Follow me on Instagram @TheYoungeLady


✏️📓 Solution Time! 📓✏️
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I'm working with some students this summer and after their review of pertinent information concerning methods to solve specific types of word problems, they freely expressed how much word problems gave them a problem. I totally get it. Word problems definitely make me sigh quite a few times while reading them. So, I decided to color-code this week's word problem with the information and formula used to come to the appropriate conclusion.


**The critical value above came from this t-table.


GeoGebra Classic  has a cool probability tool that shows you the graph of some discrete and continuous probability distributions. It also generates some statistical results of a few different types of statistical tests that are typical when learning statistics. (I encourage you to check it out.) Here are the graph and results of the t-distribution with information from the word problem:




◾️ How do you feel about statistics?? 
◾️ Were there any differences between how you solved the word problem and what I presented above?? 
◾️ Comment below with your responses and let me know what you thought about this week's problem.

See you next week for...WMP! #13 👩🏿‍🏫


Cheers!
The Younge Lady

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