A survey selects an SRS of n = 500 people from a town of 55,000. The sample shows a mean of 2.30 health problems per person (standard deviation = 1.65). Based on this information, say whether each of the following statements is true or false. The standard deviation of the sample mean is 0.074 A. False; the standard deviation of the sample mean is 1.65 because it’s given in the problem B. False; the standard deviation of the sample mean is 2.30 because it’s given in the problem C. False; the standard deviation of the sample mean is 0.0033 because 1.65/500 = 0.0033 D. True; the standard deviation of the sample mean is 0. 074 because 1.65/sqrt(500) = 0.074
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.
A survey selects an SRS of n = 500 people from a town of 55,000. The sample shows a
A. False; the standard deviation of the sample mean is 1.65 because it’s given in the problem
B. False; the standard deviation of the sample mean is 2.30 because it’s given in the problem
C. False; the standard deviation of the sample mean is 0.0033 because 1.65/500 = 0.0033
D. True; the standard deviation of the sample mean is 0. 074 because 1.65/sqrt(500) = 0.074
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