Cigarette Taxes The increases (in cents) in cigarette taxes for 14 states in a 6-month period are , 51 , 60 , 12 , 20 , 30 , 40 , 32 , 34 , 42 , 45 , 50 , 40 , 18 31 (a) Find the range. The range is . (b) Find the variance and the standard deviation. Assume the data represent samples, and use the shortcut formula for the unbiased estimator to compute the variance and standard deviation. Round your answers to at least one decimal place. The variance is /The standard deviation is (c) Use the range rule of thumb to estimate the standard deviation. Round your answer to one decimal place. Using the range rule of thumb, ≈s. (d) Compare the estimate to the actual standard deviation. The range rule of thumb ▼(Choose one) a reasonable estimate for the standard deviation for this data.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Cigarette Taxes The increases (in cents) in cigarette taxes for 14 states in a 6-month period are
, 51 , 60 , 12 , 20 , 30 , 40 , 32 , 34 , 42 , 45 , 50 , 40 , 18 31
| The range is
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| The variance is /The standard deviation is
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| Using the range rule of thumb,
≈s.
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The range rule of thumb ▼(Choose one) a reasonable estimate for the standard deviation for this data.
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