Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 5.9-in and a standard deviation of 0.9-in. In what range would you expect to find the middle 95% of most head breadths? Between and . If you were to draw samples of size 54 from this population, in what range would you expect to find the middle 95% of most averages for the breadths of male heads in the sample? Between and . Enter your answers as numbers. Your answers should be accurate to 2 decimal places.
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.
In what
Between and .
If you were to draw samples of size 54 from this population, in what range would you expect to find the middle 95% of most averages for the breadths of male heads in the sample?
Between and .
Enter your answers as numbers. Your answers should be accurate to 2 decimal places.
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