Asked by Grahm Pratt on May 11, 2024
Verified
A service center for electronic equipment is conducting a study on three of their technicians: Joe,John,and James.All three specialize in repairing computer drives.The study was performed to study the service time of fixing the computer drives.The manager of the service center wishes to assess if the average service times for the three technicians are equal: H0: 1 = 2 = 3.Each technician was given a random sample of computer drives,and the service time for each was recorded.The ANOVA table and descriptive statistics are given below. 
What is the value of an estimate of the common standard deviation?
A) 3.51
B) 8.45
C) 8.61
D) 12.29
Common Standard Deviation
A measure used in the context of comparing groups that assumes all groups have the same standard deviation, often used in analyses such as ANOVA.
- Examine the influence of sample size and variability on the dependability of statistical assessments.
- Examine the foundational assumptions of ANOVA and their impact on data interpretation.
Verified Answer
ML
Michelle LopezMay 12, 2024
Final Answer :
C
Explanation :
The estimate of the common standard deviation is given by the pooled standard deviation, which can be calculated by taking the square root of the mean squared error (MSE) from the ANOVA table. The MSE is 73.82. So, the pooled standard deviation is sqrt(73.82) = 8.61. Therefore, the answer is C.
Learning Objectives
- Examine the influence of sample size and variability on the dependability of statistical assessments.
- Examine the foundational assumptions of ANOVA and their impact on data interpretation.
Related questions
Which of the Following Is Not a Required Condition for ...
When the Assumptions Underlying ANOVA Are Violated,________ Is Used ...
An Investigator Conducts a Statistical Test to Determine Whether the ...
A Test That Is Consistent in Measuring What It Is ...
When the Within-Group Variability Increases the Value of the T-Statistics ...