Chapter 11, Problem 10CT

a.

To determine

To draw: A two-way-table representing the given data and to find and interpret the marginal frequencies.

Answer to Problem 10CT

  $211$ students are attending the class field trip, $60$ are not attending.

Total number of males is $121$ and total number of females is $150$ .

Explanation of Solution

Given Information: Information regarding a class field trip is given.

Table and Interpretation:

Creating a two-way table based on the given information,

  $\begin{array}{llll}\hfill & Attending\hfill & Notattending\hfill & Total\hfill \\ Males\hfill & 92\hfill & a\hfill & 121\hfill \\ Females\hfill & b\hfill & 31\hfill & e\hfill \\ Total\hfill & c\hfill & d\hfill & 271\hfill \end{array}$

Calculating $a,b,c$ and $d$ using simple addition and subtraction,

  $a=121-92$

  $=29$

  $d=a+31$

  $\begin{array}{l}d=a+31\\ =60\end{array}$

  $c=271-d$

  $=211$

  $\begin{array}{l}b=c-92\\ =119\end{array}$

  $e=b+31$

  $=150$

Completing the two-way table using derived values,

  $\begin{array}{llll}\hfill & Attending\hfill & Notattending\hfill & Total\hfill \\ Males\hfill & 92\hfill & 29\hfill & 121\hfill \\ Females\hfill & 119\hfill & 31\hfill & 150\hfill \\ Total\hfill & 211\hfill & 60\hfill & 271\hfill \end{array}$

  $211$ students are attending the class field trip, $60$ are not attending.

Total number of males is $121$ and total number of females is $150$ .

b.

To determine

To find: The percentage of females attending the class field trip.

Answer to Problem 10CT

Around $79\%$ of females are attending the class field trip.

Explanation of Solution

Given Information: Information regarding a class field trip is given.

Calculation:

Total number of females $=150$

Number of females attending the class field trip $=119$

Percentage of female (attending) $=\frac{119}{150}\simeq 0.79or79\%$

Thus, around $79\%$ of females are attending the class field trip.