sampling distribution 53 5.3 Activity 12: Sampling Distributions Objective The p
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sampling distribution 53 5.3 Activity 12: Sampling Distributions Objective The purpose of this activity is to obtain a better understanding of a sampling distribution. Topies covered 1. Simple random sampling 2. Standard errons 3. Sampling distributions Consider the population of the 44 United States presidents. Below you will find a histogram displaying the age of ench president at his death along with a table of important parameters. Currently, there are five former presidents that are still living. Age at Death of 39 United States Prosidents 40”607080 100 Population Parameters = 70.4359 Median-70 =12.0367 1. Based on the above histogram, what is the shape of the distribution? 2. Notice that we are considering the above values as known parameters. If we were to take a sample of size 20 from this population, what are the chances that our sample mean, 3, would equal 70.4359, the population mean ? Explain why?Explanation / Answer
1)
From the graph we can say it is a normal distribution
2)
sample size large enough. From the law of large numbers we can say that the mean will be close to population mean if sample size is lagre
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