Question \#5 A study from QSR magazine examined the accuracy of fast-food chain drive-through orders. It was found that of 318 Burger King orders, 264 were accurate; and of 362 McDonald's orders, 329 were accurate. When testing the claim that the accuracy rate of Burger King (population 1) in preparing drive-through orders is different from the accuracy rate of McDonald's (population 2), what is the value of the test statistic? Round to two decimal digits.

A census team is advised to avoid omissions and duplications during enumeration. Which of the following ensures this quality in a census? a. Defining a specific point in time for data collection. b. Including only economically productive individuals. conducting the census every 20 years.

Exercice 6 1. Soit \( X_{j} \) une variable gaussienne de la loi \( \mathcal{N}\left(\gamma \cdot \vartheta^{2}\right) \). Trouver la borne de Cramér-Rao dans le cas d'estimation \( \vartheta>0 \). Etudier l'EMV et l'estimateur \[ \vartheta_{n}^{*}=\frac{1}{n} \sqrt{\frac{\pi}{2}} \sum_{j=1}^{n}\left|X_{j}-\gamma\right| . \] 2. Soit \( X_{j} \) une variable de la loi Gamma \( \Gamma_{\vartheta, \lambda} \) et \( \lambda \) est connu. Calculer l'EMV du paramètre \( \vartheta \) et comparer sa variance asymptotique avec la borne de Cramér-Rao. 3. Soit \( X_{j} \) une variable de la loi \[ f(\vartheta, x)=\frac{x}{\vartheta} e^{-x^{2} / 2 \vartheta \vartheta} 1_{\{x \geq 0\}} . \]

7] In a college, 200 students were \( \quad 3 \) points surveyed: 120 students are taking Mathematics, 80 students are taking Physics, and 50 students are taking both mathematics and Physics. What is the total number of students who are taking Mathematics only and neither of the subjects?

Question \#5 A study from QSR magazine examined the accuracy of fast-food chain drive-through orders. It was found that of 318 Burger King orders, 264 were accurate; and of 362 McDonald's orders, 329 were accurate. When testing the claim that the accuracy rate of Burger King (population 1) in preparing drive-through orders is different from the accuracy rate of McDonald's (population 2), what is the value of the test statistic? Round to two decimal digits.

\( \quad 34,27,45,40,44 \) Si suponemos que estas edades constituyen la totalicad de la población, hallar la desviación estándar , decimales.