The U.S. Mint produces approximately 13 billion pennies a year. A random sample (n=800) of pennies were collected and their minted years were recorded. The output, histogram, box-plot, and QQ plot for the distribution of the years of production for the pennies can found on the attached document. PenniesNormalitylnformation 200405.pdf

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Pennies (n=800) Output
Options
Summary statistics:
Column
Mean
Std. dev. Median Range Min Max Q1
Q3 IQR Skewness
Kurtosis
Mode
n
Year
800 1989.8475 12.439561
1991
63 1948 2011 1981 2000
19 -0.39373882 -0.48524393 2000
Normal: Mean-1989.8, SD-12.44
Year
Frequency
120
200
100
2000
80
1980
1960
1960
2000
Nomal Quantile
Year
Transcribed Image Text:Pennies (n=800) Output Options Summary statistics: Column Mean Std. dev. Median Range Min Max Q1 Q3 IQR Skewness Kurtosis Mode n Year 800 1989.8475 12.439561 1991 63 1948 2011 1981 2000 19 -0.39373882 -0.48524393 2000 Normal: Mean-1989.8, SD-12.44 Year Frequency 120 200 100 2000 80 1980 1960 1960 2000 Nomal Quantile Year
QUESTION 1
The U.S. Mint produces approximately 13 billion pennies a year. A random sample (n-800) of pennies were collected and their minted years were recorded. The output, histogram, box-plot, and
QQ plot for the distribution of the years of production for the pennies can be found on the attached document.
PenniesNormalitylnformation 200405.pdf
The mean is only slightly less than the
is left skewed.
which suggests the distribution
1. histogram
v This
is within the acceptable range (between -1 and +1).
Interquartile range
2.
The
is also between the acceptable range of -3 and +3.
3. kurtosis
v The
has only one mode and the tails are approximately equal length.
4. longer
5. median
The box and whisker plot shows the median is approximately in the center of the
6. Normal
v The left whisker is slightly
than the right whisker.
7. QQ Plot
v The raw scores hug the theoretical line on the
8. shorter
Therefore, there is enough evidence to assume that the data can be considered
9. skewness
10. Skewed
>
Transcribed Image Text:QUESTION 1 The U.S. Mint produces approximately 13 billion pennies a year. A random sample (n-800) of pennies were collected and their minted years were recorded. The output, histogram, box-plot, and QQ plot for the distribution of the years of production for the pennies can be found on the attached document. PenniesNormalitylnformation 200405.pdf The mean is only slightly less than the is left skewed. which suggests the distribution 1. histogram v This is within the acceptable range (between -1 and +1). Interquartile range 2. The is also between the acceptable range of -3 and +3. 3. kurtosis v The has only one mode and the tails are approximately equal length. 4. longer 5. median The box and whisker plot shows the median is approximately in the center of the 6. Normal v The left whisker is slightly than the right whisker. 7. QQ Plot v The raw scores hug the theoretical line on the 8. shorter Therefore, there is enough evidence to assume that the data can be considered 9. skewness 10. Skewed >
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