Interpret Confidence and Prediction Intervals A State Appropriate Hypotheses to Test Whether the Purchasing Agent

question 12

Essay

Interpret confidence and prediction intervals.
-Vending machines on a college campus offer a variety of drinks. The purchasing
agent believes that each type of drink is equally preferred by students and consequently
orders equal quantities. The number of drinks sold from vending machines on this
campus for the last six months is shown in the following table. $$\begin{array} { | c | c | c | c | c | } \hline \text { Drink Type/Flavor } & \begin{array} { c } \text { Lemon Lime } \\\text { Sports Drink }\end{array} & \begin{array} { c } \text { Kiwi } \\\text { Strawberry }\end{array} & \begin{array} { c } \text { Tropical } \\\text { Punch }\end{array} & \begin{array} { c } \text { Grape } \\\text { Sports Drink }\end{array} \\\hline \text { Purchase Frequency } & 159 & 198 & 174 & 149 \\\hline\end{array}$$
a. State appropriate hypotheses to test whether the purchasing agent is correct.
b. What is the value of the test statistic and its associated P-value?
c. State the conclusion at = .05.

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Definitions:

Operant Behavior

A type of behavior that is controlled by its consequences, including rewards for positive behavior or penalties for negative behavior.

Respondent Behavior

A behavior that occurs as an automatic response to a certain stimulus.

Unconditioned Response

An automatic reaction to a stimulus that occurs naturally without any prior learning.

Operant Conditioning

A method of learning that employs rewards and punishments for behavior, which increases or decreases the likelihood of the behavior being repeated, as conceptualized by B.F. Skinner.