Many students have had the unpleasant experience of panicking on a test because the first question was exceptionally difficult. The arrangement of test items was studied for its effect on anxiety. The following scores are measures of ”debilitating test anxiety,” which most of us call panic or blanking out. Is there sufficient evidence to support the claim that the two populations of scores have different means at the 5% significance level?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Many students have had the unpleasant experience of panicking on a test because the first question was
exceptionally difficult. The arrangement of test items was studied for its effect on anxiety. The following
scores are measures of ”debilitating test anxiety,” which most of us call panic or blanking out. Is there
sufficient evidence to support the claim that the two populations of scores have different means at the 5%
significance level?

  Easy to Difficult Difficult to Easy
1 24.64 33.62
2 33.31 35.91
3 26.43 27.24
4 28.89 27.62
5 25.49 34.02
6 39.29 26.68
7 20.60 32.34
8 24.23 42.91
9 28.71 26.63
10 38.81 29.49
11 16.32 29.34
12 21.13 30.2
13 7.10 30.26
14 31.73 35.32
15 27.85 33.53
16 32.83 32.54
17 26.69  
18 32.86  
19 30.02  
20 30.29  
21 28.02  
22 28.90  
23 21.06  
24 21.96  
25 30.72  
     
Mean 27.1152 31.7281
St Dev 6.8571 4.2602
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