x1: New England Crime Rate 3.3, 3.7, 4.0, 4.1, 3.3, 4.1, 1.8, 4.8, 1.9, 3.1 x2: Rocky Mountain Crime Rate 3.5, 4.3, 4.7, 5.3, 3.3, 4.8, 3.5, 2.4, 3.1, 3.5, 5.2,2.8 Assume that the crime rate distribution is approximately normal in both regions. Use a calculator to calculate x1, s1, x2, and s2. (Round your answers to four decimal places.) x1: s1: x2: s2: What is the value of the sample test statistic? Compute the corresponding z or t-value as appropriate. (Test the difference ?1 − ?2. Do not use rounded values. Round your answer to three decimal places.) Find a 98% confidence interval for ?1 − ?2. (Round your answers to two decimal places.) lower limit: _________ upper limit: _________
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.
x1: New England Crime Rate
3.3, 3.7, 4.0, 4.1, 3.3, 4.1, 1.8, 4.8, 1.9, 3.1
x2: Rocky Mountain Crime Rate
3.5, 4.3, 4.7, 5.3, 3.3, 4.8, 3.5, 2.4, 3.1, 3.5, 5.2,2.8
Assume that the crime rate distribution is approximately normal in both regions. Use a calculator to calculate x1, s1, x2, and s2. (Round your answers to four decimal places.)
x1:
s1:
x2:
s2:
What is the value of the sample test statistic? Compute the corresponding z or t-value as appropriate. (Test the difference ?1 − ?2. Do not use rounded values. Round your answer to three decimal places.)
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