Are the mean intelligence quotients different between males and females?

Independent Variable
We will compute and write-up the results for the independent-samples t-test. The independent variable is usually a categorical variable used to group participants into two separate groups. For two separate groups, one variable has two levels. The groups are separated by the levels of the independent variable.
Dependent Variable 
The scale of measurement for the dependent variable needs to be interval or ratio. Here, we are referring to either the scale of measurement or the underlying scale of measurement. For example, the time spent shopping is on a ratio scale; height is also on a ratio scale. An interval-scaled variable includes temperature (in Celsius or Fahrenheit units). We may obtain ratings on a 7-point scale from strongly agree (7) to disagree strongly (1). Levels of the agreement are ordinal. The underlying rating scale is an
interval. That is, we can compute an interpretable mean for this rating.
Statistical Assumptions
The accuracy of the probability associated with the t-statistic and the ANOVA F-statistic
depends on upon the following assumptions.
The shapes of the populations for each group are normally distributed.
The population variances are equal for each group.
If the assumptions are violated, the 0.05 or 0.01 alpha levels that appear in appendices of statistics textbooks do not accurately reflect the distribution for the t-statistic and the Fstatistic.
Research Question
The research question takes the following form.
Are the mean intelligence quotients different between males and females?
Hypotheses
Both Population M1 and Population M2 will be estimated by sample means M1 and M2.
Furthermore, the following null hypothesis will be tested.
Null Hypothesis: The Population M1 equals the Population M2.
The alternative hypothesis is stated as follows.
Alternative Hypothesis: The Population M1 does not equal the Population M2.
The test of the null hypothesis that is based on the sample estimates of M1 and M2 are done using the independent samples t-statistic.
P-Value
We should report the p-value. An example of reporting the p-value appears below (Wendorf, 2014, p. 4).
An independent sample t test showed that the difference in quiz scores between the control group (n = 4, M = 6.00, SD = 0.82) and the experimental groups (n = 4, M = 8.00, SD = .82) were statistically significant, t(6) = -3.46, p = .013, 95% CI [-3.41, – 0.59], d = -2.45.
Confidence Interval
We should state the conclusion about the confidence interval. An example appears below.
With 95% confidence, the population parameter is within the interval [-5.70, 3.11].
Null Hypothesis
We need to state whether the statistical null hypothesis was rejected.
Writing Style
We employ APA style when we write the results. As described by Green and Salkind (2008, p. 166), the parts that need to be reported include the following.
State the test, variable, and purpose.
Report the results of the test.
Report the descriptive statistics.
For example, we can report the results of a test on a simulation game in this manner.
An independent-samples t-test was done to decide if the participants’ mean score for simulation game training (M=84.50, SD=9.26) was higher than that of other participants who received video training (M=76.00, SD=12.65). The means were not significantly different: t(18)=1.714, p>0.05, r=0.30.
Appendix
We should include the syntax and output file in an appendix to the submitted document.
Other Considerations
Other considerations include the following.
1. Figures should be numbered and include captions.
2. The figures should appear after the paragraph in which the figure was introduced.
3. Tables should be numbered and include captions.
4. The tables should be included after the paragraph in which the figure was
introduced.
5. Raw data, including per-participant scores or values, should not be included.
6. Include an introduction that describes what we are going to write.
References
Green, S. B., & Salkind, N. J. (2008). Using SPSS for Windows and Macintosh: Analyzing
and understanding data. Upper Saddle River, N.J: Pearson/Prentice Hall.
Wendorf, C. (2014, December). Statistics in APA style. Retrieved Saturday, October 31,
2015, from http://www4.uwsp.edu/psych/cw/statistics/WendorfReportingStatistics.pdf.