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). (d)Does the interval in part (c) support the result in part (a)? Explain your answer. 6. The mean retail price of agriculture books in 2005 was $57.61. This year's retail mean price for 28randomly selected agriculture books was $54.97. Assume that the population standard deviation ofprices 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 meanretail 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).(d)Does the interval in part (c) support the result in part (a)? Explain your answer.

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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).

(d)Does the interval in part (c) support the result in part (a)? Explain your answer.

6. 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).
(d)Does the interval in part (c) support the result in part (a)? Explain your answer.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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