For numbers 20-24, refer to the following problem. A sample of 100 grade 10 students' ages was obtained to estimate the mean of all grade 10 students. Given X = 15.3 years and the population variance is 16. 20. What is the point estimate for µ? A. 10 В. 15.3 С. 16 D. 100 21. What is the appropriate distribution to be used? А.р В.s C. t D. Z 22. What is the 90% confidence interval for µ? А. 14.578 — 16 В. 14.424 — 15.958 C. 14.642 – 15.958 D. 15.3 – 16.09 23. What is the 95% confidence interval for µ? A. 14.06 – 16.494 C. 14.423 – 16.107 В. 14.516 — 16.084 D. 14.15 – 16.345 24. What is the 99% confidence interval for µ? А. 14.424 — 15.958 C. 14.423 – 16.107 В. 14.27 — 16.33 D. 14.06 – 16.494
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.
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