SCENARIO 16-15-A
You Are the CEO of a Diary Company

question 60

Short Answer

SCENARIO 16-15-A
You are the CEO of a diary company. The total milk production (in gallons) from your company
over the past 30 years are presented below and also contained in the Excel file SCENARIO 16-
15-A.XLSX. $$\begin{array} { l r r r r r r r r r r r } \text { Year } & 1986 & 1987 & 1988 & 1989 & 1990 & 1991 & 1992 & 1993 & 1994 & 1995 \\& 1996 & 1997 & 1998 & 1999 & 2000 & 2001 & 2002 & 2003 & 2004 & 2005 \\& 2006 & 2007 & 2008 & 2009 & 2010 & 2011 & 2012 & 2013 & 2014 & 2015 \\\text { Milk } & 150201 & 172719 & 171357 & 157121 & 155727 & 152974 & 153443 & 158548 & 162614 & 164210 \\\text { Prod } & & & & & & & & & \\& 159127 & 153866 & 165992 & 177843 & 167477 & 163821 & 161700 & 170348 & 174105 & 185103 \\& 184670 & 173385 & 159695 & 173641 & 165706 & 171164 & 168706 & 150684 & 179314 & 163802\end{array}$$ You want to predict your company's future total milk production using the linear trend, quadratic
trend, exponential trend, first-order autoregressive, second-order autoregressive and third-order
autoregressive model.
-Referring to Scenario 16-15-A, what is the p-value of the t test statistic for testing the
appropriateness of the first-order autoregressive model?

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Definitions:

Formal Operational Reasoning

A stage in Piaget's theory of cognitive development where individuals are able to think abstractly and logically.

Selective Attention

The cognitive process of focusing on certain information while ignoring other stimuli.

Abstract Thought

The ability to think about objects, principles, and ideas that are not physically present.

Logical Thought

A form of reasoning and understanding that is based on strict principles of validity.