To test whether actually taking Introductory Statistics decreases students’ anxieties about the field of Statistics, a Statistics 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: Pre-course Anxiety Level: 7 6 9 5 6 7 5 7 6 4 3 2 1 3 4 2 Post-course Anxiety Level 4 3 7 3 4 5 4 6 5 3 2 2 1 3 4 3 Do the data indicate that anxiety levels about the field of Statistics decreases after students take Introductory Statistics? Use a significance level of ? = 0.05.  a) what is the test statistics and p-value? b) Find a 90% confidence interval for the difference in the anxiety levels about the field of Statistics

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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To test whether actually taking Introductory Statistics decreases students’ anxieties about the field of Statistics, a Statistics 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:

Pre-course Anxiety Level: 7 6 9 5 6 7 5 7 6 4 3 2 1 3 4 2

Post-course Anxiety Level 4 3 7 3 4 5 4 6 5 3 2 2 1 3 4 3

Do the data indicate that anxiety levels about the field of Statistics decreases after students take Introductory Statistics? Use a significance level of ? = 0.05. 

a) what is the test statistics and p-value?

b) Find a 90% confidence interval for the difference in the anxiety levels about the field of Statistics

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