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Home Question Bank Math Statistics Archive 2024 December 10

Statistics Questions from Dec 10,2024

Browse the Statistics Q&A Archive for Dec 10,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Find the value of \( z \) such that 0.03 of the area lies to the right of \( z \). Round your answer to two decimal places. Answer 2 Points If you would like to look up the value in a table, select the table you want to view, then either click the cell at the intersection of the row and column or use the arrow keys to find the appropriate cell in the table and select it using the Space key. Note: Selecting a cell will return the value associated with the column and row headers for that cell. Consider the following data set: \( 5,8,152,8,9,6 \) a. Which of the members of the data set is an outlier? b. Identify the mode. c. Explain why it is not correct to find the median by adding 152 to 8 an then dividing by 2 . Find (a) the range and (b) the standard deviation of the set of data. \( 46,55,37,64,46,37,58 \) (a) The range is (Simplify your answer.) (b) The standard deviation is (Round to the nearest hundredth as needed.) 6. On a histogram, the highest bar corresponds to the: (A) Mean (B) Median (C) Mode (D) Range The data shows the total number of employee medical leave days taken for on-the-job accidents in the first six months of the year: \( 13,5,19,7,21,13 \). Find the standard deviation. Use the value of the linear correlation coefficient \( r \) to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables. \( r=0.434 \) What is the value of the coefficient of determination? \( r^{2}=\square \) (Round to four decimal places as needed.) What is the percentage of the total variation that can be explained by the linear relationship between the two variables? Explained variation = \( \square \% \) (Round to two decimal places as needed.) Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient \( r \) is 0.425 . Find the value of the coefficient of determination. What practical information does the coefficient of determination provide? Choose the correct answer below. A. The coefficient of determination is \( 0.819 .18 .1 \% \) of the variation is explained by the linear correlation, and \( 81.9 \% \) is explained by other factors. B. The coefficient of determination is \( 0.181 .81 .9 \% \) of the variation is explained by the linear correlation, and \( 18.1 \% \) is explained by other factors. C. The coefficient of determination is \( 0.819 .81 .9 \% \) of the variation is explained by the linear correlation, and \( 18.1 \% \) is explained by other factors. D. The coefficient of determination is \( 0.181 .18 .1 \% \) of the variation is explained by the linear correlation, and \( 81.9 \% \) is explained by other factors. Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables. \( r=0.777 \) What is the value of the coefficient of determination? \( r^{2}=\square \) (Round to four decimal places as needed.) What is the percentage of the total variation that can be explained by the linear relationship between the two variables? Explained variation \( =\square \% \) (Round to two decimal places as needed.) Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure does not represent the center of the data, explain why. The durations (in minutes) of power failures at a residence in the last 6 years are listed below. 6951 What is the mode of the durations? Select the correct choice below and fill in any answer box to complete your choice. A. The mode(s) of the durations is (are) 18,34 minutes. (Use a comma to separate answers as needed.) D. There is no mode. Does (Do) the mode(s) represent the center of the data? A. The mode(s) represent(s) the center. B. The mode(s) does (do) not represent the center because it (one) is the largest data value. C. The mode(s) does (do) not represent the center because it (one) is the smallest data value. D. The mode(s) can't represent the center because it (they) is (are) not a data value. Assume the random variable \( x \) is normally distributed with mean \( \mu=84 \) and standard deviation \( \sigma=5 \). Find the indicater probability. \( P(71<x<76) \) \( P(71<x<76)=\square \) (Round to four decimal places as needed)
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