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QUESTION

RESEARCHERS FROM BUREAU OF LABOR STATISTICS INTEND TO DRAW CONCLUSIONS ABOUT THE UNKNOWN POPULATION VARIANCE FOR SALARY FOR A GROUP OF ENGINEERS.

RESEARCHERS FROM BUREAU OF LABOR STATISTICS INTEND TO DRAW

CONCLUSIONS ABOUT THE UNKNOWN POPULATION VARIANCE FOR

SALARY FOR A GROUP OF ENGINEERS. A SAMPLE OF 16 SALARY RECORDS

MEASURED IN ($1,000) IS COLLECTED. ASSUME THAT THE INDIVIDUAL

SALARY (X) IS NORMALLY DISTRIBUTED WITH THE UNKNOWN

PARAMETERS. THE SAMPLE SUMMARIES WERE FOUND AS

(X-BAR) = 75.84 AND THE SAMPLE STANDARD DEVIATION = 3.6.

A. FIND THE 95% CONFIDENCE LIMITS FOR THE POPULATION

VARIANCE.

UCL =

LCL =

B. PRESENT THE CRITICAL VALUES YOU WILL USE.

C. AT THE SIGNIFICANCE LEVEL OF 1%, DO YOU HAVE SUFFICIENT

EVIDENCE TO CONCLUDE THAT THE POPULATION VARIANCE WOULD

BE BELOW 36? ANSWER YES (REJECT) OR NO (DO NOT REJECT).

D. SHOW THE CRITICAL VALUE, THE TEST STATISTIC VALUE, AND STATE

THE REJECTION RULE BEFORE ANSWERING THE PREVIOUS QUESTION.

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