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According to the Bureau of Labor Statistics, the average hourly wage in the US was $22.57 in May 2010. A random sample of 36 hourly workers was selected during the month. The average wage for this sample was $21.32. Assume the standard deviation of wages for the country is $4.30.

a. Are the results of this sample consistent with the claim made by the Bureau of Labor Statistics using a 95% confidence interval?

b. What is the margin of error for this sample?

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