Give a 95.5% confidence interval for μB−μA, the difference between LDL levels before and after taking the medication. Confidence Interval =
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.
To test the efficacy of a new cholesterol-lowering medication, 10 people are selected at random. Each has their LDL levels measured (shown below as Before), then take the medicine for 10 weeks, and then has their LDL levels measured again (After).
1 188 187
2 114 125
3 167 141
4 141 109
5 151 145
6 182 152
7 193 166
8 173 154
9 135 145
10 120 134
Give a 95.5% confidence interval for μB−μA, the difference between LDL levels before and after taking the medication.
Confidence Interval =
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