Use the attached picture to answer the following question: Is the difference between the groups for the number of anagrams solved statistically significant (use α = 0.05)?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Use the attached picture to answer the following question: Is the difference between the groups for the number of anagrams solved statistically significant (use α = 0.05)?

mber of Anagrams
Ived
me to Solve (ms)
Number of Anagrams
Solved
Time to Solve (ms)
Group Statistics
Pre-Training Group
solvable
unsolvable
solvable
unsolvable
Equal variances
assumed
Equal variances not
assumed
Equal variances
assumed
Equal variances not
assumed
N
7
9
7
9
Mean
F
6.29
6.67
11490.5857
2037.57161
11153.7522 3897.22959
LL
Levene's Test for Equality of
Variances
Std. Deviation
1.496
2.598
2.312
11.440
Sig.
Independent Samples Test
151
.004
Std. Error
Mean
t
770.12968
1299.07653
-.344
- 368
565
866
207
223
df
14
13.100
14
12.545
Sig. (2-tailed)
.736
719
839
.827
t-test for Equality of Means
Mean
Difference
- 381
-.381
336.83349
336.83349
Std. Error
Difference
1.106
1.034
1629.75382
95% Confidence Interval of the
Lower
Difference
-2.753
-2.614
-3158.64082
1510.19852 -2937.81551
Upper
1.991
1.852
3832.30780
3611.48249
Transcribed Image Text:mber of Anagrams Ived me to Solve (ms) Number of Anagrams Solved Time to Solve (ms) Group Statistics Pre-Training Group solvable unsolvable solvable unsolvable Equal variances assumed Equal variances not assumed Equal variances assumed Equal variances not assumed N 7 9 7 9 Mean F 6.29 6.67 11490.5857 2037.57161 11153.7522 3897.22959 LL Levene's Test for Equality of Variances Std. Deviation 1.496 2.598 2.312 11.440 Sig. Independent Samples Test 151 .004 Std. Error Mean t 770.12968 1299.07653 -.344 - 368 565 866 207 223 df 14 13.100 14 12.545 Sig. (2-tailed) .736 719 839 .827 t-test for Equality of Means Mean Difference - 381 -.381 336.83349 336.83349 Std. Error Difference 1.106 1.034 1629.75382 95% Confidence Interval of the Lower Difference -2.753 -2.614 -3158.64082 1510.19852 -2937.81551 Upper 1.991 1.852 3832.30780 3611.48249
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Is the direction of the difference in the number of anagrams solved between the two groups consistent with theory of helplessness?

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