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In order to explain possible departures from the Standard Model predictionsfor $b\bar b$ and $c\bar c$ production at $Z$ peak, we propose the existence ofa $Z'$ vector boson with enhanced couplings to quarks. We first show that thisproposal is perfectly consistent with the full set of LEP1/SLC results. Inparticular, $Z-Z'$ mixing effects naturally explain the fact that $\Gamma_b$and $\Gamma_c$ deviate from the SM in opposite directions. We then show thatthere is a predicted range for enhanced $Z'q\bar q$ couplings which explains,for a precise and interesting range of $Z'$ masses, the excess of dijet eventsseen at CDF. A $Z'$ with such couplings and mass would produce clean  observable effects in $b\bar b$ and in total hadronic production at LEP2.Comment: 24 pages , 5 Postscript figures, Acknowledgement

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

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AZ′with enhanced couplings to quarks: A bridge from CERN LEP 1, SLC, and CDF to LEP 2 anomalies