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Home Question Bank Math Statistics Archive 2024 November 14

Statistics Questions from Nov 14,2024

Browse the Statistics Q&A Archive for Nov 14,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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What is the median of the following values? \( 45,32,21,12,9,33,69,71,28,5 \) A. 32 B. 28 C. 30 D. 33 An orange chew was selected 15 times. A cherry chew was selected 3 times. A peach chew was selected 2 times. The number of a country's unemployed workers decreased from 3.2 million to 2.5 million last year. If the country's population remained constant at 74 million, how did its unemployment rate change last year? A. It decreased by about \( 9 \% \). B. It increased by about \( 1 \% \). C. It decreased by about \( 1 \% \). D. It increased by about \( 9 \% \). A Ud. lo contratan para realizar una medición de iluminación en una imprenta y obtiene los siguientes valores en lux: Taller de tipografia Iluminación general: \( 250 ; 290 ; 340 ; 145 ; 310 ; 340 ; 300 ; 320 ; 300 \) Rotativas: Recepción: \( 450 ; 410 ; 425 ; 400 ; 300 ; 400 ; 475 ; 210 ; 460 \) En base a los resultados obtenidos calcule el nivel de iluminación promedio compare con la ley y calcule la uniformidad. En base a los resultados genere una conclución y posibles recomendaciones. A population of values has a normal distribution with \( \mu=243.7 \) and \( \sigma=69.6 \). You intend to draw a random sample of size \( n=81 \). Find the probability that a single randomly selected value is between 256.8 and 265.4 . \( P(256.8<X<265.4)=\square \) Find the probability that a sample of size \( n=81 \) is randomly selected with a mean between 256.8 and 265.4 . \( P(256.8<M<265.4)=\square \) Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact \( z \)-scores or \( z \) - scores rounded to 3 decimal places are accepted. You intend to draw a random sample of size \( n=556 \) from a population whose parameter is \( p=0.83 \) What is the mean of the distribution of sample proportions? \( \mu_{\widehat{p}}=0.83 \) What is the standard deviation of the distribution of sample proportions? (Report answer accurate to 2 decimal places.) \( \sigma_{\widehat{p}}=\square \) \[ y_{i}=\beta_{1}+\beta_{2} x_{i 2}+\beta_{3} x_{i 3}+\varepsilon_{i}=x_{i}^{\prime} \beta+\varepsilon_{i} \] a. Explain how the ordinary least squares estimator for \( \beta \) is determined and derive an expression for \( b \). b. Which assumptions are needed to make \( b \) an unbiased estimator for \( \beta \) ? c. Explain how a confidence interval for \( \beta_{2} \) can be constructed. Which additional d. Explain how one can test the hypothesis that \( \beta_{3}=1 \). 3.1.5 Data handling consist of a data handling cycle, in which step of the data handling cycle will we identify the mean, mode and median also known as measures of central tendency. Only write the appropriate letter that represents the step. A. Develop a question. B. Collect data. C. Arrange data. D. Summarise data. E. Represent data. F. Analyse data. 3.1 .6 Determine the probability of randomly selecting a month, which has an even number, for the number of niny days in Johannesburg. Write your answer as a fraction. Assigning lower quotas, the following percentages add up to \( 99 \% \). Using the Hamilton Method, which of them gets its upper quota? \( 13.825 \% \) \( 41.179 \% \) \( 33.471 \% \) \( 12.849 \% \) Construye una tabla de frecuencias a partir de los siguientes datos de temperatura \( \left({ }^{\circ} \mathrm{C}\right) \) registrados durante 10 dias: \( 22,24,25,22,21,23,22,24,21 \) 23.
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