Exam 3: Descriptive Statistics

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A company is reviewing the database of customer purchases over the past 3 years.Using descriptive statistics on this large data set, a business analyst found the following values. Variable Court Mearl MinirmurI Ql Mediar Q3 Maxirnuri Purdhases 56,472 105.21 10.24 31.09 74.88 117.23 201.40 From this we can conclude that,

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The middle value in an ordered array of numbers is called the mode.

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Jessica Salas, President of Salas Products, is reviewing the warranty policy for her company's new model of automobile batteries.Life tests performed on a sample of 100 batteries indicated: (1)an average life of 75 months, (2)a standard deviation of 5 months, and (3)a bell-shaped battery life distribution.Approximately 95% of the batteries will last between ________________.

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The mean life of a particular brand of light bulb is 1200 hours and the standard deviation is 50 hours.We can conclude that at least 75% of this brand of bulbs will last between _______.

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David Desreumaux, VP of Human Resources of American First Banks (AFB), is reviewing the employee training programs of AFB.His staff compiled the following table of regional statistics on teller training hours. Southeast Region Southwest Region Mearn 20 28 Mediar1 20 20 Mode 20 21 Stardard Deviation 5 7 What can David conclude from these statistics?

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A commuter travels many miles to work each morning.She has timed this trip 5 times during the last month.The time (in minutes)required to make this trip was 34, 39, 41, 35, and 41.The mean time (in minutes)required for this trip was _______.

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In a large data set, an analyst finds that the interquartile range is 102 to 331, indicating that about 75% of the data points fall within that range.

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You have computed the z score for a value.Then you realize that the actual standard deviation of the population is 25% larger than the one you used for computing the z value.Your corrected z value will be _______.

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Jessica Salas, President of Salas Products, is reviewing the warranty policy for her company's new model of automobile batteries.Life tests performed on a sample of 100 batteries indicated: (1)an average life of 75 months, (2)a standard deviation of 5 months, and (3)a bell shaped battery life distribution.Approximately 99.7% of the batteries will last between ________________.

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If the mean of a distribution is greater than the median, then the distribution is positively skewed.

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The hourly production of a plastic cup company is tracked over several months and is found to be normally distributed.A business analyst creates a box and whisker plot from those data and finds that the box starts at 15259 to 16,001.Based on the graph, what percentage of the hourly sales would the analyst expect to find within that range?

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The hourly production of a plastic cup company is tracked over several months and is found to be normally distributed.Given a mean of 15,630 cups and a standard deviation of 251 cups, about what percent of all hours of production should produce between 15,128 and 16,132 cups?

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A business analyst compares 2017 daily sales to 2018 daily sales using descriptive statistics for each.In 2017, the standard deviation of daily sales was 73.87, while in 2018 the standard deviation of daily sales was 136.32.The analyst could conclude that ____________.

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A company is reviewing the database of customer purchases over the past 3 years.Using descriptive statistics on this large data set, a business analyst found the following values. Variable Court Mearl MinirmurI Ql Mediar Q3 Maxirnuri Purdhases 56,472 105.21 10.24 31.09 74.88 117.23 201.40 From this we can conclude that,

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An appropriate measure of central tendency for ordinal data is the mode.

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A statistics student made the following grades on 7 tests: 76, 82, 92, 95, 79, 86, and 92.What is the median grade?

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A commuter travels many miles to work each morning.She has timed this trip 5 times during the last month.The time (in minutes)required to make this trip was 34, 39, 41, 35, and 41.The median time (in minutes)required for this trip was _______.

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The following box and whisker plot was constructed for the age of accounts receivable. The following box and whisker plot was constructed for the age of accounts receivable.   The box and whisker plot reveals that the accounts receivable ages are _______. The box and whisker plot reveals that the accounts receivable ages are _______.

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The hourly production of a plastic cup company is tracked over the most recent several months and is found to be normally distributed.Comparing the mean of this data set to a similar data set collected last year during the same months, the business analyst notices that the mean has increased, while the overall shape of the distribution has not.Which of the following would not be a possible explanation for this difference?

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Shaun Connor, Human Resources Manager for American Oil Terminals (AOT), is reviewing the operator training hours at AOT nationally.His staff compiled the following table of national statistics on operators training hours. West Coast Region East Coast Region Mearn 32 38 Mediarn 32 32 Mode 32 27 Stardard Deviation 8 7 What can Shaun conclude from these statistics?

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