Deer mice are small rodents native to North America. Their adult body length are known to vary approximately normally, with a mean of 85 millimeters and a standard deviation of 10 mm. Deer mice are found in diverse habitats and exhibit different adaptations to their environment. A random sample of 12 deer mice in a rich forest habitat gives an average body length of 93.5 mm. Assume that the standard deviation of all deer mice in this area is also 10 mm. a. Give a 92% a confidence interval for the mean body length of all deer mice in this habitat. b. How large a sample is needed to cut the margin of error in part a in fourth?
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.
Deer mice are small rodents native to North America. Their adult body length are known to vary approximately normally, with a mean of 85 millimeters and a standard deviation of 10 mm. Deer mice are found in diverse habitats and exhibit different adaptations to their environment. A random sample of 12 deer mice in a rich forest habitat gives an average body length of 93.5 mm. Assume that the standard deviation of all deer mice in this area is also 10 mm.
a. Give a 92% a confidence interval for the mean body length of all deer mice in this habitat.
b. How large a sample is needed to cut the margin of error in part a in fourth?
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