Exam 4: Numerical Descriptive Techniques

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According to the Empirical Rule, if the data form a bell shaped normal distribution approximately ____________________ percent of the observations will be contained within 3 standard deviations around the mean.

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In a positively skewed distribution, which of the following is the correct statement?

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The ____________________ mean is used whenever we wish to find the "average" growth rate, or rate of change, in a variable over time.

(Short Answer)
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A perfect straight line sloping upward would produce a correlation coefficient value of 1.0.

(True/False)
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NARRBEGIN: Yearly Donations Yearly Donations The following data represent the yearly donations (in thousands of dollars) of a sample of 13 benefactors: 26.5, 23.5, 29.7, 24.8, 21.1, 24.3, 20.4, 22.7, 27.2, 23.7, 24.1, 24.8, and 28.2.NARREND -{Yearly Donations Narrative} Compute median.

(Essay)
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If the observations are in the millions, a standard deviation of 10 would be considered small. If the observations are all less than 50, a standard deviation of 10 would be considered large.

(True/False)
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What statistics and graphs can you use to answer the following questions: Is the distribution unimodal, bimodal, or multimodal? If there is more than one mode, where are the peaks, and where are the valleys?

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Possible methods of creating distorted impressions with bar charts include:

(Multiple Choice)
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Is a standard deviation of 10 a large number indicating great variability, or is it small number indicating little variability? To answer this question correctly, one should look carefully at the value of the:

(Multiple Choice)
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NARRBEGIN: Experience and Salary Longevity and Salary A sample of eight observations of variables x (years of experience) and y (salary in $1,000s) is shown below: 5 3 7 9 2 4 6 y 20 23 15 11 27 21 17 14 NARREND -{Longevity and Salary Narrative} a.Calculate and interpret the covariance between x and y. b.Give a possible reason that the covariance is negative.

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According to Chebysheff's Theorem, at least 93.75% of observations should fall within 4 standard deviations of the mean.

(True/False)
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____________________ uses both the mean and the standard deviation to interpret standard deviation for histograms of any shape.

(Short Answer)
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NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below. NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below.       NARREND -{Home Care Narrative} Which histogram makes the differences in the house calls appear to be the least dramatic? NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below.       NARREND -{Home Care Narrative} Which histogram makes the differences in the house calls appear to be the least dramatic? NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below.       NARREND -{Home Care Narrative} Which histogram makes the differences in the house calls appear to be the least dramatic? NARREND -{Home Care Narrative} Which histogram makes the differences in the house calls appear to be the least dramatic?

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Which of these measures of central location is not sensitive to extreme values?

(Multiple Choice)
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If the coefficient of correlation r = -.81, the standard deviations of x and y are 20 and 25, respectively, then cov(x, y) must be -405.0.

(True/False)
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σ\sigma is a population parameter and s is a sample statistic.

(True/False)
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The number of crimes per capita is known as the crime ____________________. It is a fairer way to represent and compare crimes from year to year or place to place.

(Short Answer)
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The units for the variance are the same as the units for the original data (for example, feet, inches, etc.).

(True/False)
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In the equation of the least squares line, y~=b0+b1x\tilde { y } = b _ { 0 } + b _ { 1 } x , b0 is the ____________________ and b1 is the ____________________.

(Short Answer)
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The 10th ____________________ is the value for which 10% of the observations are less than that value.

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