11. DETAILS ASWSBE14 8.E.013. MY NOTES You may need to use the appropriate appendix table or technology to answer this question. The following sample data are from a normal population: 14, 12, 16, 19, 17, 15, 10, 9. (a) What is the point estimate of the population mean? (b) What is the point estimate of the population standard deviation? (Round your answer to three decimal places.) (c) With 95% confidence, what is the margin of error for the estimation of the population mean? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the population mean? (Round your answer to one decimal place.) to
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.
![**Question 11:**
You may need to use the appropriate appendix table or technology to answer this question.
The following sample data are from a normal population: **14, 12, 16, 19, 17, 15, 10, 9**.
(a) What is the point estimate of the population mean?
- [Text Box for Answer]
(b) What is the point estimate of the population standard deviation? (Round your answer to three decimal places.)
- [Text Box for Answer]
(c) With 95% confidence, what is the margin of error for the estimation of the population mean? (Round your answer to one decimal place.)
- [Text Box for Answer]
(d) What is the 95% confidence interval for the population mean? (Round your answer to one decimal place.)
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