In: Statistics and Probability
SPSS assignment – Single-sample t test
A researcher hypothesizes that people who listen to classical music have higher
concentration skills than those in the general population. On a standard
concentration test, the overall population mean is 15.5. The researcher gave the
same test to a random sample of 12 individuals who regularly listen to classical
music. Their scores on the test were as follows:
16, 14, 20, 12, 25, 22, 23, 19, 17, 17, 21, 20
Conduct a single sample t test. Should the null hypothesis be rejected? What should
the researcher conclude? Report the results in APA style.
1) Enter the data into SPSS and Name the variable.
2) Once the data are entered and the variable named, select the Analyze tab, and,
from the drop-down menu, Compare Means followed by One Sample T Test.
A dialog box will pop up. Place the Concentration Score variable into the Test
Variable box by utilizing the arrow in the middle of the window. In the small Test
Value box (under the Test Variable box), enter the value of the population mean.
Click OK
The output for the single-sample t test will appear in an output window.
In the top box labeled “One-Sample Statistics” you will be given the N value, Mean,
Standard Deviation, and Standard Error of the Mean.
In the second box labeled “One-Sample Test” you are given the t value, the degrees
of freedom, the obtained alpha level (significance level), Mean Difference, and the
Lower and Upper limits at 95% confidence interval.
* SPSS reports only two-tailed significance levels, so if you have a one-tailed test,
you must divide the significance level (alpha) in half.
If the alpha (significance level) is less than .05, then the result is significant, and you
reject the null hypothesis and accept the alternative hypothesis.
If the alpha (significance level) is greater than or equal to .05, then you fail to reject
the null hypothesis and do not accept the alternative hypothesis.