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Home Question Bank Math Statistics Archive 2025 January 13

Statistics Questions from Jan 13,2025

Browse the Statistics Q&A Archive for Jan 13,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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12 Dans une classe il y a 20 garçons et 13 filles. Sachant que l'on doit élire deux délégués, détermine: 1. le nombre de choix possibles. 2. le nombre de choix possibles sachant qu'il doit y avoir un garçon et une fille. You are applying for a job at two companies. Company A offers starting salaries with \( \mu=\$ 28,000 \) and \( \sigma=\$ 1,000 \). Company B offers starting salaries with \( \mu=\$ 28,000 \) and \( \sigma=\$ 3,000 \). From which company are you more likely to get an offer of \( \$ 30,000 \) or more? Choose the correct answer below. A. Company A, because data values that lie more than two standard deviations from the mean are considered unusual. B. Company B, because data values that lie within one standard deviation from the mean are not considered unusual C. No difference, because data values that lie more than three standard deviations from the mean are considered very unusual. The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 31 days and a standard deviation of 5 days. (a) The life spans of three randomly selected fruit flies are 34 days, 30 days, and 47 days. Find the \( z \)-score that corresponds to each life span. Determine whether any of these life spans are unusual. (b) The life spans of three randomly selected fruit flies are 36 days, 41 days, and 21 days. Using the Empirical Rule, find the percentile that corresponds to each life span. ine <-score contesponiming a me spall on 4 , uays is 0.4 . (Type an integer or a decimal rounded to two decimal places as needed.) Select all of the life spans that are unusual. A. 47 days B. 30 days C. 34 days D. None of the life spans are unusual. (b) Determine the percentiles using the Empirical Rule. The 36 day fruit fly corresponds to a percentile of \( \square \) The 41 day fruit fly corresponds to a percentile of \( \square \) The 21 day fruit fly corresponds to a percentile of \( \square \) (Round to the nearest whole number as needed.) The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 31 days and a standard deviation of 5 days. (a) The life spans of three randomly selected fruit flies are 34 days, 30 days, and 47 days. Find the \( z \)-score that corresponds to each life span. Determine whether any of these life spans are unusual. (b) The life spans of three randomly selected fruit flies are 36 days, 41 days, and 21 days. Using the Empirical Rule, find the percentile that corresponds to each life span. (a) The \( z \)-score corresponding a life span of 34 days is \( \square \) .60 (Type an integer or a decimal rounded to two decimal places as needed.) The z-score corresponding a life span of 30 days is -0.2 . (Type an integer or a decimal rounded to two decimal places as needed.) The z-score corresponding a life span of 47 days is 3.2 . (Type an integer or a decimal rounded to two decimal places as needed.) Select all of the life spans that are unusual. A. 47 days B. 30 days C. 34 days D. None of the life spans are unusual. The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 31 days and a standard deviation of 5 days. (a) The life spans of three randomly selected fruit flies are 34 days, 30 days, and 47 days. Find the \( z \)-score that corresponds to each life span. Determine whether any of these life spans are unusual. (b) The life spans of three randomly selected fruit flies are 36 days, 41 days, and 21 days. Using the Empirical Rule, find the percentile that corresponds to each life span. (a) The z-score corresponding a life span of 34 days is 60 . (Type an integer or a decimal rounded to two decimal places as needed.) The z-score corresponding a life span of 30 days is (Type an integer or a decimal rounded to two decimal places as needed.) The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 31 days and a standard deviation of 5 days. (a) The life spans of three randomly selected fruit flies are 34 days, 30 days, and 47 days. Find the \( z \)-score that corresponds to each life span. Determine whether any of these life spans are unusual. (b) The life spans of three randomly selected fruit flies are 36 days, 41 days, and 21 days. Using the Empirical Rule, find the percentile that corresponds to each life span. (a) The z-score corresponding a life span of 34 days is \( \square \) (Type an integer or a decimal rounded to two decimal places as needed.) d. What is the mean \( 46,37,34,31,29 \), and \( 24 ? \) 9. There are 5 men and 8 women available for a 3-person committee. If the committee must have at least one woman, how many possible committees are there? How do you identify the relationship between two variables in a scatter plot? \( 1,3,5,10,15,10,7,4 \) Moda \( = \) Mediana= MedicAritmetica = Rango DesvacionMedia=
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