Suppose that a plumb of 1kg is repeatedly weighed to find the characteristics of a balance. The measured weights are known to follow a normal distribution with a mean of 1kg and a standard deviation of 50g. Now, we want to examine the characteristics of the data generated by the repeated measurements. Answer the following question using the 68-95-99.7 rule. Round from the 3rd to the 2nd decimal place. Find 84th percentile of the measured weights.
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.
Suppose that a plumb of 1kg is repeatedly weighed to find the characteristics of a balance. The measured weights are known to follow a
Now, we want to examine the characteristics of the data generated by the repeated measurements.
Answer the following question using the
Round from the 3rd to the 2nd decimal place.
Step by step
Solved in 2 steps
