According to the U.S. Bureau of Labor Statistics, the average weekly earnings of a production worker in July 2011 were $657.49. Suppose a labor researcher wants to test to determine whether this figure is still accurate today. The researcher randomly selects 53 production workers from across the United States and obtains a representative earnings statement for one week from each. The resulting sample average is $672.15. Assuming a population standard deviation of $63.90 and a 1% level of significance, determine whether the mean weekly earnings of a production worker have changed.
The value of the test statistic is ____ and we___ (reject the null hypothesis/fail to reject the null hypothesis).
(Round answer to 2 decimal places)
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