A group of 51 randomly selected students have a mean score of 25.4 and a standard deviation of 3.1 on a placement test. With 90% confidence, the mean score of all students taking the placement test is estimated to be between what values? Round to the nearest tenth. a. between 24.4 and 26.4 b. between 24.5 and 26.3 c. between 24.3 and 26.5 d. between 24.7 and 26.1
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 group of 51 randomly selected students have a mean score of 25.4 and a standard deviation of 3.1 on a placement test. With 90% confidence, the mean score of all students taking the placement test is estimated to be between what values? Round to the nearest tenth.
| a. |
between 24.4 and 26.4 |
|
| b. |
between 24.5 and 26.3 |
|
| c. |
between 24.3 and 26.5 |
|
| d. |
between 24.7 and 26.1 |
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