The mean retail price of agriculture books in 2005 was $57.61. This year’s retail mean price for 28 randomly selected agriculture books was $54.97. Assume that the population standard deviation of prices for this year’s agriculture books is $8.45.  (a)At the 5% significance level, do the data provide sufficient evidence to conclude that this year’s mean retail price of agriculture books has changed from the 2005 mean?  (b)What is the P-value of the test in part (a)?  (c)Obtain a confidence interval corresponding to the test in part (a).

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