stats notes week 7a

# stats notes week 7a - Invnorm and Normalcdf with SDSM FACTS...

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(p 369 of book) If all possible random samples, each of size n, are taken from any population with mean µ and standard deviation σ then the sampling distribution of sample means will: x x n µ σ = = Further more, if the sampled population has a normal distribution then the sampling distribution of of x will also be normal for samples of all sizes. ___________________________________________________________________ If we have a normal distribution and select a sample from it the mean value is a member of a different distribution : the SDSM (sampling distribution of sample means). Because the original distribution is normal we SDSM will also be normal. This means we can use invnorm and normalcdf to find properties of the SDSM. Example 1 The scores on a test are normally distributed with mean 80 and standard deviation 6. If we take a random sample of 9 students and calculate their mean score what is the probability that this mean will be above 84? What is the probability that an individual student will score more than 84? How do the two values compare? Example 2 The scores on a test are normally distributed with mean 80 and standard deviation 6. We Invnorm and Normalcdf with SDSM Stat200 - Class 9-3 Page 1

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## This note was uploaded on 05/01/2008 for the course BCOR 1020 taught by Professor Liang,fang during the Spring '07 term at Colorado.

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stats notes week 7a - Invnorm and Normalcdf with SDSM FACTS...

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