1. Se pesó a 20 niños que cursan el kínder con los siguientes resultados. Considerando que se trata de una población normalmente distribuida y aplicando el método de verosimilitud estime la media poblacional y la varianza poblacional. \( \begin{array}{llllllllllllllllll}15 & 18 & 20 & 21 & 17 & 15 & 19 & 18 & 18 & 20 & 22 & 21 & 16 & 19 & 18 & 19 & 20 & 21 \\ 20 & 17\end{array} \)

Suppose you are using the inclusion-exclusion principle to compute the number of elements in the union of four sets. Each set has 15 elements. The pair-wise intersections have 10 elements each. The three-way intersections have 8 elements each. There are 3 elements in the intersection of all four sets. What is the size of the union?

2. In a survey of 160 people, it was found that: 75 read 'Addis Zemen' magazine, 50 read Reporter, 47 read Fortune, 35 read both 'Addis Zemen' magazine and Reporter, 25 read both 'Addis Zemen' magazine and Fortune, 20 read both Reporter and Fortune, 20 read all three magazines. Find the number of people who: a. read at least one of the three magazines b. read none of magazine at all c. read exactly one of the magazines.

09) O Desvio Padrão de um conjunto de dados é 9. A variância é: \( \begin{array}{llll}\text { 10) } \\ \begin{array}{lll}\text { a) ( ) } 3 & \text { c) ( ) } 81 & \text { b) ( ) } 36\end{array}\end{array} \)

11) Na distribuição de valores iguais, o Desvio padrão é: 12) \( \begin{array}{llll}\text { a) ( ) negativo } & \text { c) ( ) zero } & \text { b) ( ) a unidade } & \text { d) ( ) positivo }\end{array} \)

We'll suppose you set a significance level of \( 10 \% \). Then you fandomly select 42 adults in town and ask them how often they eat in a restaurant. The number who say "at least once a week". is 17 . Now calculate the sample proportion: \( \widehat{\mathbf{p}}= \) Round to 3 decimal places-i) If the null hypothesis is true, the probability of getting a sample proportion that hypothesis is 0.086 . What should you do with \( \mathrm{H}_{0} \) ? Do not reject null hypothesis