Researchers conducted a study to understand the effect of gender on statistics anxiety. They believe that the level of statistics anxiety is different between males and females. The Statistics Anxiety Rating Scale (STARS) was used to assess one's statistics anxiety level at the beginning of the academic year. The researchers recruited 32 participants to join the study. The following SPSS output table for the study is shown below:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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STARS
Researchers conducted a study to understand the effect of gender on statistics anxiety. They believe
that the level of statistics anxiety is different between males and females. The Statistics Anxiety Rating
Scale (STARS) was used to assess one's statistics anxiety level at the beginning of the academic year.
Gender N
Male
Female
The researchers recruited 32 participants to join the study. The following SPSS output table for
the study is shown below:
STARS Equal variances
assumed
i)
ii)
Group Statistics
Equal variances not
assumed
Mean
116.1333
15
17 136.3529
Std.
Deviation
F
8.89516
5.99939
Levene's Test for Equality of
Variances
4.007
Std. Error
Mean
Sig.
2.29672
1.45507
.054
Independent Samples Test
t
-7.619
df
30
-7.437 24.097
Sig. (2-
tailed)
.000
.000
t-test for Equality of Means
Mean
Difference
-20.21961
-20.21961
Std. Error
Difference
2.65379
2.71885
95% Confidence Interval of
the Difference
Lower
Upper
-25.63936 -14.79986
-25.82984 -14.60938
Is the equal variance assumption violated? Explain your answers by reporting relevant
statistics..
Is there any gender difference in statistics anxiety? Explain your answers by reporting
relevant statistics.
Transcribed Image Text:STARS Researchers conducted a study to understand the effect of gender on statistics anxiety. They believe that the level of statistics anxiety is different between males and females. The Statistics Anxiety Rating Scale (STARS) was used to assess one's statistics anxiety level at the beginning of the academic year. Gender N Male Female The researchers recruited 32 participants to join the study. The following SPSS output table for the study is shown below: STARS Equal variances assumed i) ii) Group Statistics Equal variances not assumed Mean 116.1333 15 17 136.3529 Std. Deviation F 8.89516 5.99939 Levene's Test for Equality of Variances 4.007 Std. Error Mean Sig. 2.29672 1.45507 .054 Independent Samples Test t -7.619 df 30 -7.437 24.097 Sig. (2- tailed) .000 .000 t-test for Equality of Means Mean Difference -20.21961 -20.21961 Std. Error Difference 2.65379 2.71885 95% Confidence Interval of the Difference Lower Upper -25.63936 -14.79986 -25.82984 -14.60938 Is the equal variance assumption violated? Explain your answers by reporting relevant statistics.. Is there any gender difference in statistics anxiety? Explain your answers by reporting relevant statistics.
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