Before you took this course, you probably heard many stories about Statistics courses. Oftentimes parents of students have had bad experiences with Statistics courses and pass on their anxieties to their children. To test whether taking Statistics decreases students’ anxieties about Statistics, an instructor gave a test to rate student anxiety at the beginning and end of his course. Anxiety levels were measured on a scale of 0-10. Here are the data for 16 randomly chosen students from a class of 180 students. Do the data indicate that anxiety levels about Statistics decreases after students Statistics? Create and interpret a 90% confidence interval. 3 three decimal places.
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.
![Before you took this course, you probably heard many stories about Statistics
courses. Oftentimes parents of students have had bad experiences with
Statistics courses and pass on their anxieties to their children. To test whether
taking Statistics decreases students' anxieties about Statistics, an instructor
gave a test to rate student anxiety at the beginning and end of his course.
Anxiety levels were measured on a scale of 0-10. Here are the data for 16
randomly chosen students from a class of 180 students. Do the data indicate that
anxiety levels about Statistics decreases after students Statistics?
1 3
Pre-course anxiety level
Post-course anxiety level
Difference (Post – Pre)
7
9
5
7
5
7
6
4
3
4
4
3.
7
3
6.
5
3
2
2
1
3
4
-3
-3
-2
-2
-2
-2
-1
-1
-1
-1
-1
Create and interpret a 90% confidence interval.
Enter the high value of confidence interval to three decimal places.
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