Cristian M. answered • 12/21/22
MS Statistics Graduate with 5+ Years of Tutoring Experience
On a TI-83 calculator (similar to TI-84, I expect):
To input data, go to STAT ---> 1: Edit to populate L1, L2, and L3 with the provided data. Leaving the editing screen saves the data automatically.
For ANOVA, STAT ---> TESTS ---> F: ANOVA( (this could be towards the bottom of your list, if it's not the very end)
The characters "ANOVA(" appear on my screen. For me, I need to type in L1 (2nd ---> 1), L2 (2nd ---> 2), and L3 (2nd ---> 3). I close off the parentheses and press ENTER.
I get One-way ANOVA output.
(a) What is the F-statistic that results from this calculation? (round to 4 places)
The first line says F = 12.39037657, so F = 12.3903.
(b) What is the P-value that results from this calculation? (round to 4 places)
The second line says p = 4.1325366E-4 (this is scientific notation for 0.00041325366), so p = 0.0004.
(c) State the conclusion of the ANOVA test in non-technical terms.
There is a significant difference in average salary between at least two fields.
(This is one way to interpret the results, but the idea is that at least one field has an average salary significantly different from the others, that at least one field's mean salary is not the same as the others. See your textbook for its template for interpreting ANOVA output.)
(As a side note, ANOVA alone will not say where the significant difference comes from, so most analysts go to post-hoc testing such as Tukey's HSD to determine this. For this problem, we stop here.)
I hope this helps! If this was supposed to be calculated by hand, let me know and I can help with that!
