Questions: 1. Imagine I took a bunch of samples of the same size from a population that is skewed right, such as home prices in a particular area, calculated a sample mean for each sample, and constructed a histogram of the sample means -what will the shape of the histogram look like (appoximately)? In other words, describe the distribution of the sample means. 2. What is the notation for the sample mean? You can just describe it or name it. 3. What is the notation for the population mean? (note: click on the three vertical dots above and click sqrt of x and choose "Greek" for options) 4. If the mean of the original population (or parent population) is $700,000, what is the mean of the distribution of sample means? All three videos will help you answer this question but the applet will be very helpful.
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.
![Questions:
1. Imagine I took a bunch of samples of the same size from a population that is skewed right, such as home prices in a
particular area, calculated a sample mean for each sample, and constructed a histogram of the sample means -what will
the shape of the histogram look like (appoximately)? In other words, describe the distribution of the sample means.
2. What is the notation for the sample mean? You can just describe it or name it.
3. What is the notation for the population mean? (note: click on the three vertical dots above and click sqrt of x and
choose "Greek" for options)
4. If the mean of the original population (or parent population) is $700,000, what is the mean of the distribution of
sample means? All three videos will help you answer this question but the applet will be very helpful.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e776a1d-b114-4eaf-9ad8-7d46fc21218c%2F469efdad-753a-4d4c-b213-6fbee2858d64%2Fnfmh7wp_processed.jpeg&w=3840&q=75)
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