The following small data set represents a simple random sample from a normally distributed population: 43 63 53 50 58 44 53 53 52 41 50 43 a/ What is the point estimate of µ? b/ With a 90% confidence interval, what is the margin of error of estimate for µ? c/ Construct a 90% confidence interval for the population mean µ, round to one decimal place. d/ Interpret the result in part c/
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.
The following small data set represents a simple random sample from a
a/ What is the point estimate of µ?
b/ With a 90% confidence interval, what is the margin of error of estimate for µ?
c/ Construct a 90% confidence interval for the population
d/ Interpret the result in part c/
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