# Parametric and Nonparametric Data Identification

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Label each of the following situations "P" if it is an example of parametric data or "NP" if it is an example of nonparametric data.

1. In a comparison of two towns, is the average height of its residents the same? _____

2. A manufacturer produces a batch of memory chips (RAM) and measures the mean-time-between-failures (MTBF). The manufacturer then changes a manufacturing process and produces another batch and again measures the MTBF. Did the change to the process improve the MTBF? _____

3. The average life span of a dog is proportional to the amount of calcium consumed. _____

4. The correlation between gene disorders and certain diseases. _____

5. From a written survey where the respondents were asked to rate an individual on a scale of 1 to 5, one group rated an individual a 3.7, another group rated the individual a 4.3. Is the difference statistically significant? _____

6. A study of vehicle accidents on a military installation compared to drivers' rank. _____

7. Show that the numbers drawn in a state lottery are truly random. _____

8. There is a direct correlation to a student's grade and the student's rating of an instructor.

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##### Solution Summary

Label each of the following situations "P" if it is an example of parametric data or "NP" if it is an example of nonparametric data.

1. In a comparison of two towns, is the average height of its residents the same? _____

2. A manufacturer produces a batch of memory chips (RAM) and measures the mean-time-between-failures (MTBF). The manufacturer then changes a manufacturing process and produces another batch and again measures the MTBF. Did the change to the process improve the MTBF? _____

3. The average life span of a dog is proportional to the amount of calcium consumed. _____

4. The correlation between gene disorders and certain diseases. _____

5. From a written survey where the respondents were asked to rate an individual on a scale of 1 to 5, one group rated an individual a 3.7, another group rated the individual a 4.3. Is the difference statistically significant? _____

6. A study of vehicle accidents on a military installation compared to drivers' rank. _____

7. Show that the numbers drawn in a state lottery are truly random. _____

8. There is a direct correlation to a student's grade and the student's rating of an instructor.

###### Education

- BSc , Wuhan Univ. China
- MA, Shandong Univ.

###### Recent Feedback

- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"

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