According to the Center for Disease Control and Prevention (CDC), the mean life expectancy in 2015 for Hispanic females was 84.3 years.84.3 years. Assume that the standard deviation was 15 years,15 years, as suggested by the Bureau of Economic Research. The distribution of age at death, ?,X, is not normal because it is skewed to the left. Nevertheless, the distribution of the mean, ?⎯⎯⎯,x¯, in all possible samples of size ����n is approximately normal if ?n is large enough, by the central limit theorem. Let ?⎯⎯⎯x¯ be the mean life expectancy in a sample of 100100 Hispanic females. Determine the interval centered at the population mean ?μ such that 95%95% of sample means ?⎯⎯⎯x¯ will fall in the interval. Give your answers precise to one decimal. 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.
According to the Center for Disease Control and Prevention (CDC), the mean life expectancy in 2015 for Hispanic females was 84.3 years.84.3 years. Assume that the standard deviation was 15 years,15 years, as suggested by the Bureau of Economic Research.
The distribution of age at death, ?,X, is not normal because it is skewed to the left. Nevertheless, the distribution of the mean, ?⎯⎯⎯,x¯, in all possible samples of size ����n is approximately normal if ?n is large enough, by the central limit theorem.
Let ?⎯⎯⎯x¯ be the mean life expectancy in a sample of 100100 Hispanic females. Determine the interval centered at the population mean ?μ such that 95%95% of sample means ?⎯⎯⎯x¯ will fall in the interval. Give your answers precise to one decimal.
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