A Study Includes the Accompanying Data on Compression Strength (Lb) $P$

question 18

Essay

A study includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola. Does the data suggest that the extra carbonation of cola results in a higher average compression strength? Base your answer on a $P$ -value. What assumptions are necessary for your analysis? $$\begin{array} { l c c c } \hline \text { Beverage } & \text { Sample Size } & \text { Sample Mean } & \text { Sample St. Dev. } \\\hline \text { Strawberry drink } & 15 & 546 & 21 \\\text { Cola } & 15 & 560 & 15 \\\hline\end{array}$$

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Definitions:

Progesterone

A steroid hormone released by the corpus luteum and important in the regulation of reproduction, preparing the uterus for implantation of a fertilized egg and maintaining pregnancy.

Cortisol

Cortisol is a steroid hormone produced by the adrenal glands, involved in the response to stress and metabolism regulation, including the control of blood sugar levels.

Prolactin

A hormone released by the pituitary gland that stimulates milk production in lactating females and has various other effects in both sexes.

Inhibin

Inhibin is a hormone that negatively regulates the production of follicle-stimulating hormone (FSH) and is essential in the control of reproductive function.