Sergio is doing a long hike and is carefully calculating his pack weight. An energy bar has mean weight 1.71 ounces and standard deviation 0.037. The weights of the bars are independent. A juice box has mean weight 7.1 ounces and standard deviation 0.25. The weights of the juice boxes are independent. If he takes 3 energy bars and 5 juice boxes, what will be the MEAN of the total weight in pounds from these items? Hint: If W is the weight in ounces, then W/16 is the weight in pounds.
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.
This looks like another problem. Read carefully.
Sergio is doing a long hike and is carefully calculating his pack weight. An energy bar has mean weight 1.71 ounces and standard deviation 0.037. The weights of the bars are independent. A juice box has mean weight 7.1 ounces and standard deviation 0.25. The weights of the juice boxes are independent.
If he takes 3 energy bars and 5 juice boxes, what will be the MEAN of the total weight in pounds from these items?
Hint: If W is the weight in ounces, then W/16 is the weight in pounds.
Step by step
Solved in 2 steps
