You measure 47 backpacks' weights, and find they have a mean weigh standard deviation is 4.2 ounces. Based on this, construct a 99% confic mean backpack weight. Give your answers as decimals, to two 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.
As the population standard deviation is known, we should use z-distribution. The value of z at a 99% confidence level is 2.576, which can be obtained by using the standard normal table.
The 99 % confidence for the population mean can be calculated as:
Step by step
Solved in 2 steps with 1 images
