The U.S. Department of Labor Bureau of Labor Statistics posts a table of average weekly hours worked by production workers on private nonfarm payrolls by major industry. The following data were downloaded from their website on May 18, 2005.

a. At the 0.05 level of significance, does the evidence provide sufficient reason to reject the claim that there is no difference in the mean weekly hours worked by month? Show graphical evidence to visually support your conclusion.

b. At the 0.05 level of significance, does the evidence provide sufficient reason to reject the claim that there is no difference in the mean weekly hours worked each year? Show graphical evidence to visually support your conclusion.

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Average Weekly Hours of Production Workers Year Jan Feb Mar Apr to Dec 1995 34.5 34.4 34.4 34.3 34.2 to 2005 33.7 33.7 33.7 33.9 ... Remainder of data on Student's Suite CD-ROM Source: http://data.bls.gov/cgi-bin/surveymost