Calculate the confidence intervals for the differences between means, compare to

Question

Calculate the confidence intervals for the differences between means, compare to the SPSS results and interpret them.

Results: An independent-samples t was conducted to evaluate the hypothesis that there was no significant difference between the scores for males and females. Since the P-value is greater than 0.05 we accept the Ho.

Group Statistics

   Males   N   Mean   Std. Deviation   Std. Error Mean
Females   1.00   3   5.3333   2.88675   1.66667
2.00   3   6.3333   1.52753   .88192

Independent Samples Test
   Levene's Test for Equality of Variances   t-test for Equality of Means
F   Sig.   t   df   Sig. (2-tailed)   Mean Difference   Std. Error Difference

Females   Equal variances assumed   2.632   .180   -.530   4   .624   -1.00000   1.88562   -6.23532   4.23532

   Equal variances not assumed           -.530   3.039   .632   -1.00000   1.88562   -6.95801   4.95801

95% Confidence Interval of the Difference

Lower   Upper

-6.23532   4.23532
-6.95801   4.95801

Explanation / Answer

Here from output we get the 95% confidence interval for mean score for female and male

For men ( -6.23532, 4.23532 )

For Female (-6.95801, 4.95801 )

So we are 95 sure that the mean score for men lies between (-6.23532, 4.23532)

And mean score for Female lies between (-6.95801, 4.95801)

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