Exam 3: Describing Data Using Numerical Measures

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A major retail store has studied customer behavior and found that the distribution of time customers spend in a store per visit is symmetric with a mean equal to 17.3 minutes.Based on this information,which of the following is true?

(Multiple Choice)
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For a given set of data,if the data are treated as a population,the calculated standard deviation will be less than it would be had the data been treated as a sample.

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The credit card balances for customers at State Bank and Trust has a mean equal to $800 and a standard deviation equal to $60.00.Kevin Smith's balance is $1,352.Based on this,his standardized value is 9.20.

(True/False)
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A set of data is considered to be symmetric if the 3rd quartile is three times larger than the 1st quartile.

(True/False)
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The following sample data reflect electricity bills for ten households in San Diego in March. The following sample data reflect electricity bills for ten households in San Diego in March.   Determine three measures of central tendency for these sample data.Then,based on these measures,determine whether the sample data are symmetric or skewed. Determine three measures of central tendency for these sample data.Then,based on these measures,determine whether the sample data are symmetric or skewed.

(Essay)
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If the mean value of a variable is 200 and the median is 150,the third quartile must be at least 200.

(True/False)
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A small company has 7 employees.The numbers of years these employees have worked for this company are shown as follows: A small company has 7 employees.The numbers of years these employees have worked for this company are shown as follows:   Based upon this information,the mode number of years that employees have been with this company is: Based upon this information,the mode number of years that employees have been with this company is:

(Multiple Choice)
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Consumer products are required by law to contain at least as much as the amount printed on the package.For example a bag of potato chips that is labeled as 10 ounces should contain at least 10 ounces.Assume that the standard deviation of the packaging equipment yields a bag weight standard deviation of 0.2 ounces.Explain what average bag weight must be used to achieve at least 97.5 percent of the bags having 10 or more ounces in the bag Assume the bag weight distribution is bell-shaped.

(Essay)
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Data was collected on the number of television sets in a household,and it was found that the mean was 3.5 and the standard deviation was 0.75. Based on these sample data what is the standardized value corresponding to 5 televisions?

(Multiple Choice)
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Based on the empirical rule we can assume that all distributions have approximately 95 percent of the values within ± 2 standard deviations of the mean.

(True/False)
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The right and left edges of the box in a box and whisker plot represent the 3rd and 1st quartiles,respectively.

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If a data set has 740 values that have been sorted from low to high,which value in the data set will be the 20th percentile?

(Multiple Choice)
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If a population standard deviation is computed to be 345,it will almost always be the case that a standard deviation computed from a random sample from that population will be larger than 345.

(True/False)
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At a sawmill in Oregon,a process improvement team measured the diameters for a sample of 1,500 logs.The following summary statistics were computed: Q1 = 8.9 in.Q2 = 13.5 in.Q3 = 15.6 in At a sawmill in Oregon,a process improvement team measured the diameters for a sample of 1,500 logs.The following summary statistics were computed: Q1 = 8.9 in.Q2 = 13.5 in.Q3 = 15.6 in   in. Given this information,the boundaries on the box in a box and whisker plot are: in. Given this information,the boundaries on the box in a box and whisker plot are:

(Multiple Choice)
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The number of days that homes stay on the market before they sell in Houston is bell-shaped with a mean equal to 56 days.Further,95 percent of all homes are on the market between 40 and 72 days.Based on this information,what is the standard deviation for the number of days that houses stay on the market in Houston?

(Multiple Choice)
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The box and whisker plot can be used to identify

(Multiple Choice)
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The most frequently used measure of central tendency is:

(Multiple Choice)
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Suppose a study of houses that have sold recently in your community showed the following frequency distribution for the number of bedrooms: Suppose a study of houses that have sold recently in your community showed the following frequency distribution for the number of bedrooms:   Based on this information,it is possible to determine that the distribution of bedrooms in homes sold is right-skewed. Based on this information,it is possible to determine that the distribution of bedrooms in homes sold is right-skewed.

(True/False)
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The Empirical Rule states that for a bell-shaped distribution,approximately 95 percent of data should lie within

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Why is it that when we find the sample standard deviation,we divide by the n-1 but when we find the population standard deviation we divide by n?

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