Assignment 1. A blood pressure test was given to 450 women ages 20-36. It showed that there mean systolic blood pressure was 119.4 with standard deviation of 13.2 mmhg. a. Determine the Z score to the nearest hundreds for a woman who had a systolic blood pressure of 110.5 mmhg. b. The Z score for a 1 woman was 2.15. What was the systolic blood pressure?
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.
Assignment
1. A blood pressure test was given to 450 women ages 20-36. It showed that there mean systolic blood pressure was 119.4 with standard deviation of 13.2 mmhg.
a. Determine the Z score to the nearest hundreds for a woman who had a systolic blood pressure of 110.5 mmhg.
b. The Z score for a 1 woman was 2.15. What was the systolic blood pressure?
2. On a reading class, Maria score of 455 was higher than the score of 4,256 of 7,210 students who took the test. Find the percentile for Maria's score.
3. The median annual salary for a police dispatcher in a large city was 44,528 dollars. If 25th percentile for the annual salary of police dispatcher was 36,761 dollars. Find the percent of police dispatcher who's annual salary where:
a. Less than 44,528
b. More than 32,761
c. Between 32,761 and 44,528
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