A Multiple-Comparison Procedure for Comparing Four Treatment Means Produced the Confidence

question 65

Short Answer

A multiple-comparison procedure for comparing four treatment means produced the confidence intervals shown below. For each pair of means, indicate which mean is larger or indicate that there is no significant difference. $\begin{array} { l } \left( \mu _ { 1 } - \mu _ { 2 } \right) : ( 11,17 ) \\\left( \mu _ { 1 } - \mu _ { 3 } \right) : ( - 6,2 ) \\\left( \mu _ { 1 } - \mu _ { 4 } \right) : ( 12,18 ) \\\left( \mu _ { 2 } - \mu _ { 3 } \right) : ( - 23 , - 9 ) \\\left( \mu _ { 2 } - \mu _ { 4 } \right) : ( - 6,8 ) \\\left( \mu _ { 3 } - \mu _ { 4 } \right) : ( 11,23 )\end{array}$

A) $\mu _ { 1 } > \mu _ { 2 }$ ; no significant difference between $\mu _ { 1 }$ and $\mu _ { 3 } ; \mu _ { 1 } > \mu _ { 4 } ; \mu _ { 2 } < \mu _ { 3 }$ ; no significant difference between $\mu _ { 2 }$ and $\mu _ { 4 } ; \mu _ { 3 } > \mu _ { 4 }$
B) $\mu _ { 1 } > \mu _ { 2 } ; \mu _ { 1 } < \mu _ { 3 } ; \mu _ { 1 } > \mu _ { 4 } ; \mu _ { 2 } < \mu _ { 3 } ; \mu _ { 2 } < \mu _ { 4 } ; \mu _ { 3 } > \mu _ { 4 }$
C) $\mu _ { 1 } < \mu _ { 2 }$ ; no significant difference between $\mu _ { 1 }$ and $\mu _ { 3 } ; \mu _ { 1 } < \mu _ { 4 } ; \mu _ { 2 } > \mu _ { 3 }$ ; no significant difference between $\mu _ { 2 }$ and $\mu _ { 4 } ; \mu _ { 3 } < \mu _ { 4 }$
D) no significant difference between $\mu _ { 1 }$ and $\mu _ { 2 }$ ; no significant difference between $\mu _ { 1 }$ and $\mu _ { 3 } ; \mu _ { 1 } > \mu _ { 4 }$ ; $\mu _ { 2 } < \mu _ { 3 }$ ; no significant difference between $\mu _ { 2 }$ and $\mu _ { 4 } ; \mu _ { 3 } > \mu _ { 4 }$

• A) \(\mu _ { 1 } > \mu _ { 2 }\); no significant difference between \(\mu _ { 1 }\) and \(\mu _ { 3 } ; \mu _ { 1 } > \mu _ { 4 } ; \mu _ { 2 } < \mu _ { 3 }\); no significant difference between \(\mu _ { 2 }\) and \(\mu _ { 4 } ; \mu _ { 3 } > \mu _ { 4 }\)
• B) \(\mu _ { 1 } > \mu _ { 2 } ; \mu _ { 1 } < \mu _ { 3 } ; \mu _ { 1 } > \mu _ { 4 } ; \mu _ { 2 } < \mu _ { 3 } ; \mu _ { 2 } < \mu _ { 4 } ; \mu _ { 3 } > \mu _ { 4 }\)
• C) \(\mu _ { 1 } < \mu _ { 2 }\); no significant difference between \(\mu _ { 1 }\) and \(\mu _ { 3 } ; \mu _ { 1 } < \mu _ { 4 } ; \mu _ { 2 } > \mu _ { 3 }\); no significant difference between \(\mu _ { 2 }\) and \(\mu _ { 4 } ; \mu _ { 3 } < \mu _ { 4 }\)
• D) no significant difference between \(\mu _ { 1 }\) and \(\mu _ { 2 }\); no significant difference between \(\mu _ { 1 }\) and \(\mu _ { 3 } ; \mu _ { 1 } > \mu _ { 4 }\); \(\mu _ { 2 } < \mu _ { 3 }\); no significant difference between \(\mu _ { 2 }\) and \(\mu _ { 4 } ; \mu _ { 3 } > \mu _ { 4 }\)

---

Definitions:

Industrial Patents

Legal documents granted to inventors or assignees that provide exclusive rights to use, make, and sell an invention for a set period of time.

Sync-Sound Technology

Technology used in filmmaking that synchronizes the audio recording with the motion picture image, allowing for sound and picture to be recorded simultaneously.

Motion Picture Patent Company

An early American film industry trust, formed in 1908, that held patents essential for movie production and sought to control film distribution.

National Board of Censorship

An early form of media regulation in the United States aiming to censor content deemed inappropriate, now known as the National Board of Review.