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Chapter 10 Tips: 1. Testing Two Population Means with unknown standard deviation

May 4, 2024

Chapter 10 Tips:
1. Testing Two Population Means with unknown standard deviations, 
𝜎
1
,
𝜎
2
,
use 2-Samp T-Test.
2. Testing Two Population Means with given standard deviation,  
𝜎
1
,
𝜎
2
, use 2-Samp Z-Test.
3. Testing Two independent Population proportions, use 2-Prop-Z-Test.
4. Testing Matched or Paired Samples, use T-Test.  Find the differences between two samples first, d=x-y.
Recommended Videos In Chapter 10: 
For Chapter 10, watch the following videos before solving homework.
* Activity-Question 1. Testing Two Population Means with unknown standard deviation, σ
,
use 2-Samp T-Test.  Watch the video below and report the P-Value and the conclusion of Hypothesis Testing.
https://www.youtube.com/watch?v=abuOuncWUJkLinks to an external site.
* Activity-Question 2. Testing Two Population Means with given standard deviation, σ,use 2-Samp Z-Test.  Watch the video below and report the P-Value and the conclusion.
https://www.youtube.com/watch?v=MrxbGVmA0I4Links to an external site.
3. Testing Two independent Population proportions, use 2-Prop-Z-Test.
https://www.youtube.com/watch?v=ZQu-EFcJ0R4Links to an external site.
4. Testing Matched or Paired Samples, use T-Test.  Find the differences between two samples first, d=x-y.  Press STAT, Edit to enter all the differences.  
https://www.youtube.com/watch?v=hJyuJcPfPVQLinks to an external site.
* Chapter 10 Activity-Question:
You are conducting a study to determine if there is a significant difference between average adult weight of males and females (in pounds). Calculate the test-statistic, t with the following sample data.
𝑛
1
=
35

x-bar
¯
1
=
131

𝑠
1
=
10
𝑛
2
=
25

x-bar
¯
2
=
134

𝑠
2
=
7
Rounded to 3 decimal places.
=================================================================================================================
Recommended Videos for Chapter 11 before doing homework.
Use TI-84 for χ2−Goodness of Fit Test (GOF−Test). If you have a TI−83, you may go YouTube.com to find special instructions to solve the problem since TI−83 does not have GOF−Test stored.  Watch the video below to discover P-Value and draw the conclusion.
https://www.youtube.com/watch?v=jOgqD_MuDJsLinks to an external site.
* Chapter 11 Activity Question:  The Chi-Square Distribution: Test of Independence, or Test of Homogeneity. Enter data values in Matrix  (Press 2nd 1 to find the MATRIX for Edit ) before conducting the  χ2−Test.  Watch the video below, the P-Value, and draw the conclusion.
https://www.youtube.com/watch?v=bc5kbKk7WFoLinks to an external site.

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