This week, one of the topics is describing sampling distributions. In project 2 you will be using female heights to answer a variety of questions. As practice for this project, please address the bulleted items below for male heights. It will be necessary to know that the average height for men is assumed to be 70 inches with a standard deviation of 4 inches. To receive full credit, you also need to comment on two other posts from your classmates (you can just state whether or not you agree with their solution and if not, what you did differently). George Washington was 6 feet tall. Find the z-score for George Washington. Find the probability that a randomly selected individual will be as tall or taller than George Washington. Interpret both the z-score and the probability in a sentence. Hint: change feet into inches first. It is easiest to calculate the z-score by hand (look back to chapter 7). Let's say that we are going to take a sample of 50 male heights. Describe the sampling distribution using a full sentence. Hint: See the Chapter 8 Lecture Notes Key or the Chapter 8 video lecture if you are stuck. Download the data for project 2 and get started on this sooner rather than later. You already have
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.
This week, one of the topics is describing sampling distributions. In project 2 you will be using female heights to answer a variety of questions. As practice for this project, please address the bulleted items below for male heights. It will be necessary to know that the average height for men is assumed to be 70 inches with a standard deviation of 4 inches. To receive full credit, you also need to comment on two other posts from your classmates (you can just state whether or not you agree with their solution and if not, what you did differently).
- George Washington was 6 feet tall. Find the z-score for George Washington. Find the probability that a randomly selected individual will be as tall or taller than George Washington. Interpret both the z-score and the probability in a sentence. Hint: change feet into inches first. It is easiest to calculate the z-score by hand (look back to chapter 7).
- Let's say that we are going to take a sample of 50 male heights. Describe the sampling distribution using a full sentence. Hint: See the Chapter 8 Lecture Notes Key or the Chapter 8 video lecture if you are stuck.
- Download the data for project 2 and get started on this sooner rather than later. You already have the concepts down for steps 1-3 if you completed the above two bullets. Project 2 is due in module 7.
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