Suppose your statistics instructor gave six examinations during the semester. You received the following exam scores (percent correct): 79, 64, 84, 82, 92, and 77. To compute your final course grade, the instructor decided to randomly select two exam scores, compute their mean, and use this score to determine your final course grade. Compute the population standard deviation Compute the mean of the sample means and the standard error of the sample means. (Round your answers to 2 decimal places.) Applying the Central Limit theorem, if the instructor randomly samples two of your exam scores to compute an average as your final course grade, what is the probability your final course grade will be less than 79.67? What is the probability that your final course grade will be more than 79.67? (Round your answers to 1 decimal place.)
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.
Suppose your statistics instructor gave six examinations during the semester. You received the following exam scores (percent correct): 79, 64, 84, 82, 92, and 77. To compute your final course grade, the instructor decided to randomly select two exam scores, compute their mean, and use this score to determine your final course grade.
- Compute the population standard deviation
- Compute the mean of the sample means and the standard error of the sample means. (Round your answers to 2 decimal places.)
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Applying the Central Limit theorem, if the instructor randomly samples two of your exam scores to compute an average as your final course grade, what is the
probability your final course grade will be less than 79.67? What is the probability that your final course grade will be more than 79.67? (Round your answers to 1 decimal place.)
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