Dawnbridge

Casio fx-CG50 field manual for IB Math

AI HL only · 40 of 44

40

One-sample t-test

AI HL

Use the calculator's test menu to run a one-sample t-test from summary statistics and read t and the p-value.

Goal

Test ​H0​:μ=50​ against ​Ha​:μ>50​ using ​xˉ=51.2,  ​Sx​=4.1,  ​n=16.

1

From the MAIN MENU, open Statistics. If you're already inside another app, press first to get back to MAIN MENU.

2

Press (TEST), then (t), then (1-SAMPLE) to open the one-sample t-test wizard.

3

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.

4

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.

RadNorm2
d/cReal
1-Sample tTest
Data:Variable
μ:>μ0
μ0:50
x̄:51.2
sx:4.1
n:16
↓
CALCDRAW
5

Move down to Execute and press .

Result

​t≈1.17​ and ​p≈0.130, so at the 5% level there is insufficient evidence to reject ​H0​.

RadNorm2
d/cReal
1-Sample tTest
μ>50
t=1.17073171
p=0.12998516
x̄=51.2
sx=4.1
n=16

Your turn

Work each one on your calculator, then check the answer.

  1. 1

    Test ​H0​:μ=100​ against ​Ha​:μ>100​ using ​xˉ=104.2,  ​sx​=9.5,  ​n=20, at the 5% level.

  2. 2

    Test ​H0​:μ=15​ against ​Ha​:μ>15​ using ​xˉ=15.9,  ​sx​=2.3,  ​n=12, at the 5% level.

  3. 3

    Test ​H0​:μ=3.5​ against ​Ha​:μ>3.5​ using ​xˉ=3.62,  ​sx​=0.31,  ​n=25, at the 5% level.