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

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

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MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Concept explainers

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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Question

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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?
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.)
Critical Value, za/2
Level of Confidence,
(1-a) • 100%
How does the decrease in confidence affect the sample size required?
Area in Each Tail,
2
90%
0.05
1.645
O A. Decreasing the confidence level increases the sample size needed.
95%
0.025
1.96
O B. The sample size is the same for all levels of confidence.
99%
0.005
2.575
O C. Decreasing the confidence level decreases the sample size needed.
Print
Done

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