One Sample t test

One Sample t test

One Sample t test

The t test is a statistical test for the mean of a population and is used when the population is normally or approximately normally distributed, and s is unknown.
The formula for the t test is

The degrees of freedom are d.f. n 1.

Fig No: 5.1 One Sample t test

* For the separate column:

Example: The individuals are chosen at random from a normal population and the heights are found to be in inches 63, 63, 66, 67, 68, 69, 70, 70, 71 and 71. In the light of these data, discuss the suggestion that mean height in population is 66 inches.
Solution:

1.  Enter the data in a column and assign a column name
2.  Chose Stat > Basic Statistics > One Sample t test
3.  Chose one or more samples, each in a column option (labelled above as Chose).
4. Double click on variable name to enter in variable box
5.  Mark a Check on Perform hypothesis test
6.  Enter the Hypothesized mean which is already given (as 66 in above problem).
7. Click on option button
8. Chose the level of significance at which you want check the hypothesis by the default it is given as  = 0.05 or 95.
9. Chose the alternative hypothesis as shown in Fig: 3
10. Click n OK button.
11. Click on Graphics if you want to show the graphs. Graph names are shown in Fig: 4 and click on OK button.
12. Having done all steps click on OK button. and see the result in session window

Conclusion:

Hence the p value is 0.091 which is greater than 0.05 so we accept our null hypothesis.

* For summarised data:

Example:

Solution:

1.  Chose Stat > Basic Statistics > One Sample t test
2.  Chose summarised data option (labelled above as Chose).
3. Enter Sample Size 
4. Enter Sample Mean 
5. Enter Standard deviation 
6.  Mark a Check on Perform hypothesis test.
7. Enter Hypothesized mean
8. Click on Option button
9. Chose the level of significance at which you want check the hypothesis by the default it is given as  0.05 or 95.
10. Chose the alternative hypothesis and click n OK button and see the result in session window.

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