1. A statistics class decided to estimate the average weight (in ounces) of a bottle of water produced by a local bottled water company. The distribution of the number of ounces of water in the bottles is approximately normal. They took a random sample of ten botcles from one day's production and weighed each bottle. Construct and interpret a 95% Confidence interval for the mean weight of a botte Of water produced by the company. 15.91 16.08 16.08 25.94 16.02 15.94 15.96 16.03 15.82 15.96 The mean is supposed to be 16 oz, but the water-filling machine slips away from that amount occasionally and has to be readjusted. IS there evidence that the machine needs to be readjusted?
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.
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