A cohort of patients have lost on average 23 pounds and the standard deviation of the sample is 1.2 ounces. You subsequently discover that the scale used to measure all patients overestimates the weight by 3 pounds. What is the true mean of the sample weights (in pounds)? And if, A cohort of patients have lost on average 23 pounds and the standard deviation of the sample is 1.2 ounces. You subsequently discover that the scale used to measure all patients underestimate the weight by 3 pounds. What is the true standard deviation (in ounces) of the sample 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.
A cohort of patients have lost on average 23 pounds and the standard deviation of the sample is 1.2 ounces. You subsequently discover that the scale used to measure all patients overestimates the weight by 3 pounds. What is the true mean of the sample weights (in pounds)? And if, A cohort of patients have lost on average 23 pounds and the standard deviation of the sample is 1.2 ounces. You subsequently discover that the scale used to measure all patients underestimate the weight by 3 pounds. What is the true standard deviation (in ounces) of the sample weights?
We have been given that a cohort of patients have lost on average 23 pounds and the standard deviation of the sample is 1.2 ounces. Also is has been given that the scale used to measure all patients overestimates the weight by 3 pounds.
If we add or subtract any value from the mean then then mean is also changed by the same amount. That is the mean is affected by change of origin.
Thus, the true mean will be 23 -3 = 20 pounds.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
