Problem: Suppose that the shelf life of Buko pies has a normal distribution with a mean of 36 hours and a standard deviation of 2.4 hours. Random samples of size 25 are taken. 24. What is the probability that the average shelf life of a random sample of size 25 is greater than 35 hours? A. 1 B. 0.9912 C. 0.9812 D. 0.9712 25. What is the probability that the shelf life of the random sample of size 25 is between 35 to 37 hours? A. 0.8941 B. 0.8961 C. 0.8972 D. 0.8983 -------------------------------------------------------------------------- 26. What is the best point estimate of the population mean? A. the sample standard deviation B. the sample mean C. the sample median D. the sample mode
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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