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PART a If Music Pirating Continues, Then Property Rights Are

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PART A If music pirating continues, then property rights are ignored. Thus, if property rights are ignored, then recording artists will be cheated, because if music pirating continues, then recording artists will be cheated.
Which of the following correctly expresses the form of this argument? a.  If M then P If P then R If MI then R \begin{array} { l } \text { If \( M \) then \( P \)}\\ \text { If \( P \) then \( R \). }\\ \hline\text { If MI then \( \mathrm{R} \) }\\\end{array}\quad b. If P then R If M than P. If M then R.\begin{array} { l } \text {If \( P \) then \( R \). }\\ \text { If \( \mathrm{M} \) than \( \mathrm{P} \).}\\ \hline\text { If \( M \) then \( R \).}\\\end{array}\quad c. If R then M If P then M.  If  P  then  R .  \begin{array} { l } \text {If \( \mathrm{R} \) then \( \mathrm{M} \). }\\ \text { If } P \text { then M. }\\ \hline\text {\text { If } P \text { then } R \text {. } }\\\end{array}

d. If Mthen P If M then R If P then R.\begin{array} { l } \text {If Mthen \( P \). }\\ \text { If M then \( R \). }\\ \text { If \( P \) then \( R \).}\\\end{array}\quad e.  If R then P. If M then P.If M then R\begin{array} { l } \text { If \( \mathrm{R} \) then \( \mathrm{P} \).}\\ \text { If M then \( P \).}\\ \text {If M then \( \mathrm{R} \). }\\\end{array} PART B
Which of the following substitutions proves the argument invalid?
A) M = Neil Armstrong has walked on the moon, P = Neil Armstrong is a human, R = Neil Armstrong is an astronaut.
B) M = Kim Kardashian has walked on the moon, P = Kim Kardashian is a human, R = Kim Kardashian is an astronaut.
C) M = Beyoncé records albums, P = Beyoncé is a singer, R = Beyoncé is a human.
D) M = Nicole Kidman programs computers, P = Ben Affleck sells fertilizer, R = Jennifer Lopez raises elephants.
E) M = Bradley Cooper stars in movies, P = Bradley Cooper is an actor, R = Bradley Cooper is a human.


Definitions:

Sample Size

The number of observations or replicates included in a statistical sample.

T Distribution

A probability distribution that is used in hypothesis testing for small sample sizes, when the population standard deviation is unknown.

Normal Distribution

A probability distribution that is symmetric around the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Confidence Interval

A range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter with a certain level of confidence.

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