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(Situation L) a Farmer's Marketing Cooperative Recorded the Volume of Wheat

Question 51

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(Situation L) A farmer's marketing cooperative recorded the volume of wheat harvested by its members from 1991 The cooperative is interested in detecting the long-term trend of the amount of wheat harvested. The data collected is
shown in the table.  Wheat Harvested by Coop. Member  Year  Time (y, in thousands of bushels)  199117519922781993382199448219955841996685199778719988911999992200010922001119320021296200313101200414102\begin{array} { l c c } \hline & \text { Wheat Harvested by Coop. Member } \\\text { Year } & \text { Time } & ( \mathrm { y } , \text { in thousands of bushels) } \\\hline 1991 & 1 & 75 \\1992 & 2 & 78 \\1993 & 3 & 82 \\1994 & 4 & 82 \\1995 & 5 & 84 \\1996 & 6 & 85 \\1997 & 7 & 87 \\1998 & 8 & 91 \\1999 & 9 & 92 \\2000 & 10 & 92 \\2001 & 11 & 93 \\2002 & 12 & 96 \\2003 & 13 & 101 \\2004 & 14 & 102 \\\hline\end{array}
-A forecast was obtained for the year 2005 and the corresponding 95% prediction interval was found to be (103, 107) . Interpret this interval.


A) We are 95% confident that the volume of wheat harvested in 2005 will be between 103,000 and 107,000 bushels.
B) We are 95% confident that the mean volume of wheat harvested in all years will be between 103,000 and 107,000 bushels.
C) We expect the volume of wheat harvested to increase between 103,000 and 107,000 bushels from one year to the next.
D) We are 95% confident that the 2005 harvest will be between 103,000 and 107,000 bushels larger than the harvest in 2004.

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