THE MARKETING MANAGER OF A LARGE MULTINATIONAL CORPORATION IS CONCERNED THAT SOME SALESPERSONS PERFORM VERY WELL AND OTHERS QUITE POORLY. TO HELP ANALYZE THE PROBLEM HE DRAWS A RANDOM SAMPLE OF 20 SALESPERSONS, DETERMINES THEIR COMMISSION INCOMES (IN THOUSANDS OF RANDS), AND CALCULATES THE FOLLOWING STATISTICS: = R37.2, AND S= R7.8. DO THESE STATISTICS PROVIDE SUFFICIENT EVIDENCE AT THE 5% SIGNIFICANCE LEVEL TO CONCLUDE THAT THE POPULATION VARIANCE EXCEEDS R35 MILLION²? Ho: H₁: Rejection region: Test statistic: Decision: Conclusion:

MATLAB: An Introduction with Applications
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THE MARKETING MANAGER OF A LARGE MULTINATIONAL CORPORATION IS CONCERNED THAT SOME SALESPERSONS
PERFORM VERY WELL AND OTHERS QUITE POORLY. TO HELP ANALYZE THE PROBLEM HE DRAWS A RANDOM SAMPLE OF
20 SALESPERSONS, DETERMINES THEIR COMMISSION INCOMES (IN THOUSANDS OF RANDS), AND CALCULATES THE
FOLLOWING STATISTICS: = R37.2, AND S= R7.8. DO THESE STATISTICS PROVIDE SUFFICIENT EVIDENCE AT THE 5%
SIGNIFICANCE LEVEL TO CONCLUDE THAT THE POPULATION VARIANCE EXCEEDS R35 MILLION²?
Ho:
H₁:
Rejection region:
Test statistic:
Decision:
Conclusion:
Transcribed Image Text:THE MARKETING MANAGER OF A LARGE MULTINATIONAL CORPORATION IS CONCERNED THAT SOME SALESPERSONS PERFORM VERY WELL AND OTHERS QUITE POORLY. TO HELP ANALYZE THE PROBLEM HE DRAWS A RANDOM SAMPLE OF 20 SALESPERSONS, DETERMINES THEIR COMMISSION INCOMES (IN THOUSANDS OF RANDS), AND CALCULATES THE FOLLOWING STATISTICS: = R37.2, AND S= R7.8. DO THESE STATISTICS PROVIDE SUFFICIENT EVIDENCE AT THE 5% SIGNIFICANCE LEVEL TO CONCLUDE THAT THE POPULATION VARIANCE EXCEEDS R35 MILLION²? Ho: H₁: Rejection region: Test statistic: Decision: Conclusion:
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