Casio fx-CG50 field manual for IB Math
One-sample t-test
Use the calculator's test menu to run a one-sample t-test from summary statistics and read t and the p-value.
Test H0:μ=50 against Ha:μ>50 using xˉ=51.2, Sx=4.1, n=16.
From the MAIN MENU, open Statistics. If you're already inside another app, press first to get back to MAIN MENU.
Press (TEST), then (t), then (1-SAMPLE) to open the one-sample t-test wizard.
Press (Var) to switch Data from List to Variable, since you have summary statistics rather than raw data. If you had the raw data instead, leave Data on List (soft key F1, List) and point the wizard at the list holding it (e.g. List 1); the Casio finds xˉ and sx from it.
Fill in the form, pressing after each value: set the alternative μ to >μ0, then μ0 = 50, xˉ=51.2, sx = 4.1, n = 16.
Move down to Execute and press .
t≈1.17 and p≈0.130, so at the 5% level there is insufficient evidence to reject H0.
Your turn
Work each one on your calculator, then check the answer.
- 1
Test H0:μ=100 against Ha:μ>100 using xˉ=104.2, sx=9.5, n=20, at the 5% level.
- 2
Test H0:μ=15 against Ha:μ>15 using xˉ=15.9, sx=2.3, n=12, at the 5% level.
- 3
Test H0:μ=3.5 against Ha:μ>3.5 using xˉ=3.62, sx=0.31, n=25, at the 5% level.