Assuming there are 150 students in our statistics class, 20 of you have received 4 hours of study strategies tutoring before this semester starts. What we have known is that the mean score of your final grades in our statistics class is 72 with a SD of 6 and the mean score of the 20 students who have received tutoring is 75 with a SD of 5. As the instructor of this course, I would like to know whether the tutoring has impacted your final grades. Please use the one sample Z-test to help me find out the correct answer. You are required to follow and further write down the famous eight steps and the computation of the Z-test statistic
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.
Assuming there are 150 students in our statistics class, 20 of you have received 4 hours of study strategies tutoring before this semester starts. What we have known is that the mean score of your final grades in our statistics class is 72 with a SD of 6 and the mean score of the 20 students who have received tutoring is 75 with a SD of 5. As the instructor of this course, I would like to know whether the tutoring has impacted your final grades. Please use the one sample Z-test to help me find out the correct answer. You are required to follow and further write down the famous eight steps and the computation of the Z-test statistic
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