Use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf or an online calculator such as http://onlinestatbook.com/2/calculators/normal_dist.html to answer the following question: This question again refers to the study on blood pressure. What proportion of the population has a blood pressure that is below the value 101.3 mmHg for a normally-distributed set of blood pressures with a mean of 120.1 mmHg and a standard deviation of 15.1 mmHg? Express your answer as a percentage rounded off to 1 decimal place. For the value from the previous question you just answered, what percentage of the population would have a blood pressure higher than this value? Express your answer as a percentage rounded to 1 decimal place and show your calculations below.
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.
Use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf or an online calculator such as http://onlinestatbook.com/2/calculators/normal_dist.html to answer the following question:
This question again refers to the study on blood pressure. What proportion of the population has a blood pressure that is below the value 101.3 mmHg for a normally-distributed set of blood pressures with a mean of 120.1 mmHg and a standard deviation of 15.1 mmHg? Express your answer as a percentage rounded off to 1 decimal place.
For the value from the previous question you just answered, what percentage of the population would have a blood pressure higher than this value? Express your answer as a percentage rounded to 1 decimal place and show your calculations below.
Step by step
Solved in 4 steps