hat a population of thousands of p
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.
Assume that a population of thousands of people whose responses were used to develop the anxiety test had scores that were
- Below 20 =
- Above 30
- Between 10 and 50 =
- Below 10 =
- Below 50 =
- Above 50 =
- Either below 10 or above 50 =
What is SEm2? It is the sample estimate of the standard error of the
- As s increases, how does the size of SEm change (assuming that N stays the same)?
- As N increases, how does the size of SEm change (assuming that s stays the same)
Let’s suppose that a researcher wants to set up a 95% CI for IQ scores using the following information:
The sample mean M= 130
The sample standard deviation s = 15.
The
The df = N – 1 = 119
- What are the upper and lower limits of the CI and the width of the 95% CI if all the other values remain the same (M = 130, s =15) but you change the value of N to 16
- What are the upper and lower limits and the width of this Ci if you change the confidence level to 80% (and continue to use M = 130, s = 15, and N = 49)? For an 80% CI, lower limit = and upper limit = width (upper limit – lower limit) =
- What are the upper and lower limits and width of the CI if you change the confidence level to 99% (continue to use M= 130, s =15, and N =49)? For a 99% CI, lower limit = and upper limit = width (upper limit – lower limit) =
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