For numbers 11 - 15, refer to the following 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. 11. What is the mean of the sampling distribution of the sample mean? А. 24 В. 30 С. 36 D. 42 12. What is the variance of the sampling distribution of the sample mean? A. 0.096 B. 0.2304 C. 0.48 D. 1 13. What is the probability that the average shelf life of a random sample of size 25 is greater tha 35 hours? А. 1 B. 0.9912 C. 0.9812 D. 0.9712 14 What is the probability that the shelf life of the random sample of size 25 is less than 36.5
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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