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A college student is interested in whether presoaking time has an effect on cleanliness of clothing.  He collects the dirty clothes from all of the people in his dorm and randomly assigns clothing to one of four presoak time conditions: 5 minutes, 10 minutes, 15 minutes, 20 minutes.  He then asks members of another dorm to rate the cleanliness of the items (they don’t know which clothing got which soaking time).  The data are presented below. C) Perform an LSD test and answer the questions that follow (SHOW ALL WORK!!! This can be on the same page as your other ANOVA hand work. Make sure it is inserted and/or uploaded): df error =   tcrit (df error)   MS error =   s =     LSD = _____________   Mean Comparisons:   Mean5 min vs. Mean10 min = |      ___            __       | = ___ ___              Greater than (>) LSD value? __   ___  Significant?__                   ­___   Mean10 min vs. Mean15 min = |__________________| =   ______             Greater than (>) LSD value? __   ___  Significant?__­   _               __   Mean15 min vs. Mean20 min = |__________________| =   ______             Greater than (>) LSD value? ___   __   Significant?__              ­   __

A college student is interested in whether presoaking time has an effect on cleanliness of clothing.  He collects the dirty clothes from all of the people in his dorm and randomly assigns clothing to one of four presoak time conditions: 5 minutes, 10 minutes, 15 minutes, 20 minutes.  He then asks members of another dorm to rate the cleanliness of the items (they don’t know which clothing got which soaking time).  The data are presented below. C) Perform an LSD test and answer the questions that follow (SHOW ALL WORK!!! This can be on the same page as your other ANOVA hand work. Make sure it is inserted and/or uploaded): df error =   tcrit (df error)   MS error =   s =     LSD = _____________   Mean Comparisons:   Mean5 min vs. Mean10 min = |      ___            __       | = ___ ___              Greater than (>) LSD value? __   ___  Significant?__                   ­___   Mean10 min vs. Mean15 min = |__________________| =   ______             Greater than (>) LSD value? __   ___  Significant?__­   _               __   Mean15 min vs. Mean20 min = |__________________| =   ______             Greater than (>) LSD value? ___   __   Significant?__              ­   __

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A college student is interested in whether presoaking time has an effect on cleanliness of clothing.  He collects the dirty clothes from all of the people in his dorm and randomly assigns clothing to one of four presoak time conditions: 5 minutes, 10 minutes, 15 minutes, 20 minutes.  He then asks members of another dorm to rate the cleanliness of the items (they don’t know which clothing got which soaking time).  The data are presented below.

  1. C) Perform an LSD test and answer the questions that follow (SHOW ALL WORK!!! This can be on the same page as your other ANOVA hand work. Make sure it is inserted and/or uploaded):

df error =

 

tcrit (df error)

 

MS error =

 

s =

 

 

LSD = _____________

 

Mean Comparisons:

 

Mean5 min vs. Mean10 min = |      ___            __       | = ___ ___ 

            Greater than (>) LSD value? __   ___  Significant?__                   ­___

 

Mean10 min vs. Mean15 min = |__________________| =   ______

            Greater than (>) LSD value? __   ___  Significant?__­   _               __

 

Mean15 min vs. Mean20 min = |__________________| =   ______

            Greater than (>) LSD value? ___   __   Significant?__              ­   ___

 

 

This table presents data related to different presoaking times and their corresponding statistical values. ### Presoak Time Data | | 5 min | 10 min | 15 min | 20 min | |--------|-------|--------|--------|--------| | Values | 2, 6, 6, 6, 5, 3 | 3, 9, 9, 5, 7, 5 | 8, 9, 11, 9, 6, 12 | 6, 7, 9, 6, 9, 9 | ### Statistical Measures - **M (Mean):** - 5 min: 4.67 - 10 min: 6.33 - 15 min: 9.17 - 20 min: 7.67 - **SD (Standard Deviation):** - 5 min: 1.75 - 10 min: 2.42 - 15 min: 2.14 - 20 min: 1.51 - **Σx (Sum of values):** - 5 min: 28 - 10 min: 38 - 15 min: 55 - 20 min: 46 - **Σx² (Sum of squares):** - 5 min: 146 - 10 min: 270 - 15 min: 527 - 20 min: 364 ### Variables and Calculations Needed - **T, t, A, a, AS, s, as:** Undefined variables requiring calculation. ### ANOVA Table | SOURCE | SS | df | MS | F | p | |--------|------|----|-----|---|---| | BG | | | | | | | WG | | | | | | | TOTAL | | | | | | - **F<sub>crit (.05)</sub>:** Value needed for statistical testing. This data is likely used for statistical analysis such as ANOVA to determine if presoak time has a significant effect on the measured variable.
Transcribed Image Text:This table presents data related to different presoaking times and their corresponding statistical values. ### Presoak Time Data | | 5 min | 10 min | 15 min | 20 min | |--------|-------|--------|--------|--------| | Values | 2, 6, 6, 6, 5, 3 | 3, 9, 9, 5, 7, 5 | 8, 9, 11, 9, 6, 12 | 6, 7, 9, 6, 9, 9 | ### Statistical Measures - **M (Mean):** - 5 min: 4.67 - 10 min: 6.33 - 15 min: 9.17 - 20 min: 7.67 - **SD (Standard Deviation):** - 5 min: 1.75 - 10 min: 2.42 - 15 min: 2.14 - 20 min: 1.51 - **Σx (Sum of values):** - 5 min: 28 - 10 min: 38 - 15 min: 55 - 20 min: 46 - **Σx² (Sum of squares):** - 5 min: 146 - 10 min: 270 - 15 min: 527 - 20 min: 364 ### Variables and Calculations Needed - **T, t, A, a, AS, s, as:** Undefined variables requiring calculation. ### ANOVA Table | SOURCE | SS | df | MS | F | p | |--------|------|----|-----|---|---| | BG | | | | | | | WG | | | | | | | TOTAL | | | | | | - **F<sub>crit (.05)</sub>:** Value needed for statistical testing. This data is likely used for statistical analysis such as ANOVA to determine if presoak time has a significant effect on the measured variable.
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