In addition to appropriately collected data, what condition is necessary for using the following formula to find \( P \)-value using standard Normal table? \( z=\frac{\left(\hat{p}_{1}-\hat{p}_{2}\right)-0}{\sqrt{\hat{p}(1-\hat{p})\left(\frac{1}{n_{1}}+\frac{1}{n_{2}}\right)}} \) Which condition is necessary: \( n_{1} \hat{p} \geq 5, n_{1}(1-\hat{p}) \geq 5, n_{2} \hat{p} \geq 5 \), and \( n_{2}(1-\hat{p}) \geq 5 \) \( \left(n_{1}+n_{2}\right) p_{1} \geq 10 \) and \( \left(n_{1}+n_{2}\right) p_{2} \geq 10 \) \( n_{1} \geq 30 \) and \( n_{2} \geq 30 \)

Find the mean time of Bert's last five downhill skiing runs: 98 sec , \( 90 \mathrm{sec}, 102 \mathrm{sec}, 97 \mathrm{sec} \), and 113 sec .

A survey asks 192 people "What beverage do you drink in the morning?", and offers choices: - Coffee only - Tea only - Both tea and coffee - Neither tea nor coffee Suppose 32 report tea only, 48 report coffee only, and 36 report both. How many people drink tea in the morning? How many people drink coffee in the morning? Create a venn diagram with this information and submit it. Choose File No file chosen Question Help: Video Check Answer

A survey asked buyers whether color, size, or brand influenced their choice of cell phone. The results are below. 153 said size. 232 said brand. 168 said color. 95 said size and brand. 62 said color and size. 101 said color and brand. 21 said all three. 92 said none of these How many buyers were influenced by color and size, but not brand? How many buyers were not influenced by color? How many buyers were surveyed? Question Help: Video Check Answer

If a scatter plot shows points that are closely clustered together, what can you infer about the correlation between the variables?

Uma escola de \( 1^{10} \) grau abriga 124 alunos. Obtenha uma amostra representativa cor- respondendo a \( 15 \% \) da população. Sugestão: use a \( 8^{a}, 9^{a} \) e \( 10^{a} \) colunas, a partir da \( 1^{\text {a }} \) linha, da Tabela de Números Aleatórios (de cima para baixo).