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Instruction 16-5
a Chemist Employed by a Pharmaceutical Firm Has

question 16

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Instruction 16-5
A chemist employed by a pharmaceutical firm has developed a muscle relaxant.She took a sample of 14 people suffering from extreme muscle constriction.She gave each a vial containing a dose (X)of the drug and recorded the time to relief (Y)measured in seconds for each.She fit a quadratic model to this data.The results obtained by Microsoft Excel follow.
 SUMMARY output Regression  Statistics  Multiple R 0.747 R Square 0.558 Adj. R Square 0.478 Std. Error 363.1 Observations 14 ANOVA  df  SS  MS F Signưf F Regression 21034479751723996.940.0110 Residual 118193929744903 Total 1318538726 Coeff  StdErior  Stat P-value  Intercept 1283.0352.03.650.0040 CenDose 25.2283.6312.920.0140 CenDoseSq 0.86040.37222.310.0410\begin{array}{l|l|l|l|l|l|}\text { SUMMARY } & output& \\\hline \text { Regression } & \text { Statistics } & \\\hline \text { Multiple R } & & 0.747 \\\hline \text { R Square } & & 0.558 \\\hline \text { Adj. R Square } & & 0.478 \\\hline \text { Std. Error } & 363.1 \\\hline \text { Observations } & 14 \\\hline\\\hline \text { ANOVA } & & & & & \\\hline & \text { df } & \text { SS } & \text { MS } & F & \text { Signưf } F \\\hline \text { Regression } & 2 & 10344797 & 5172399 & 6.94 & 0.0110 \\\hline \text { Residual } & 11 & 8193929 & 744903 & & \\\hline \text { Total } & 13 & 18538726 & & & \\\hline\\\hline & \text { Coeff } & \text { StdErior } & \text { Stat } & P \text {-value } \\\hline \text { Intercept } & 1283.0 & 352.0 & 3.65 & 0.0040 \\\hline \text { CenDose } & 25.228 & 3.631 & 2.92 & 0.0140 \\\hline \text { CenDoseSq } & 0.8604 & 0.3722 & 2.31 & 0.0410\\\hline\end{array} Note: Adj.R Square = Adjusted R Square;Std.Error = Standard Error
-Referring to Instruction 16-5,suppose the chemist decides to use an F test to determine if there is a significant quadratic relationship between time and dose.The p-value of the test is ________.


Definitions:

Back Ordering

Refers to the process of accepting and processing orders for currently out-of-stock goods to be fulfilled when the stock is replenished.

Services

Activities or benefits provided to consumers or businesses that do not result in the ownership of tangible goods.

Manufacturing

The process of converting raw materials, components, or parts into finished goods that meet a customer's expectations or specifications.

Aggregate Planning

A process in operations management aimed at determining the optimal levels of production, inventory, and workforce to meet forecasted demand over a medium-term horizon.

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