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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.
