A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 4 points with 99% confidence assuming s = 15.8 based on earlier studies? Suppose the doctor would be content with 90% confidence. How does the decrease in confidence affect the sample size required? E Click the icon to view a partial table of critical values. A 99% confidence level requires subjects. (Round up to the nearest subject.) Partial Critical Value Table A 90% confidence level requires subjects. (Round up to the nearest subject.) How does the decrease in confidence affect the sample size required? Level of Confidence, Critical Value, z/2 (1-a) • 100% Area in Each Tail, 2 90% 95% 99% 0.05 0.025 0.005 1.645 1.96 2.575 O A. Decreasing the confidence level increases the sample size needed. O B. The sample size is the same for all levels of confidence. Oc. Decreasing the confidence level decreases the sample size needed. Print Done
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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