e. your answer. A student would like to test that contribution of gender in wage is 1 \$ per hour and that contributio of one year of education is two times greater than one year of experience. What is the appropriate expression for the joint hypothesis? a. \( \quad\left(\begin{array}{llll}0 & 1 & 0 & 0 \\ 0 & 0 & -2 & 1\end{array}\right)\left(\begin{array}{l}\beta_{1} \\ \beta_{2} \\ \beta_{3} \\ \beta_{4}\end{array}\right)=\binom{1}{0} \quad \) b. \( \quad\left(\begin{array}{cccc}1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & -2\end{array}\right)\left(\begin{array}{l}\beta_{1} \\ \beta_{2} \\ \beta_{3} \\ \beta_{4}\end{array}\right)=\left(\begin{array}{l}0 \\ 1 \\ 0 \\ 0\end{array}\right) \)

The accompanying data describes the earnings of 15 celebrities. Complete parts (a) through (d). a. Find the mean. The mean earnings of the 15 celebrities is \( \$ \square \) million. (Round to the nearest tenth as needed.)

Find the mean for the following group of data items. \( 99,30,60,30,50 \) The mean is \( \square . ~(T y p e ~ a n ~ i n t e g e r ~ o r ~ a ~ d e c i m a l) \).

3. (4 puntos) La longitud de la sardina del Pacífico (Sardinops sagax) se pue considerar que es una variable aleatoria con distribución normal de media 175 mn desviación típica 25.75 mm . b. Hallar una longitud \( t<175 \mathrm{~mm} \) tal que entre ese \( t \) y 175 mm estén el \( 18 \% \) de sardinas capturadas.

A data value that occurs most often in a data set is the measure of central tendency called the \( \square \)

Fill in the blank so that the resulting statement is true. \( \frac{\Sigma x}{n} \), the sum of all the data items divided by the number of data items, is the measure of central tendency called the