Dawnbridge

TI-84 Plus CE field manual for IB Math

AI only · 28 of 41

28

One-sample t-test from data

Maths AI

Enter raw data into a list and run a one-sample t-test on it, letting the calculator find xˉ and sx​ before reading t and the p-value.

Goal

Test ​H0​:μ=12​ against ​Ha​:μ<12​ using the sample ​11.6,12.3,11.4,11.9,12.1,11.2,11.8,11.5,12.0,11.7.

1

Open the list editor with → 1: Edit and enter the data values in L1.

NORMALFLOATAUTOREALRADIANMP
L1L2L3L4L511.6------------------------12.311.411.912.111.211.811.512
2

Press , move right to TESTS, and choose 2: T-Test.

3

Set Inpt to Data (you have the raw data, not summary statistics). Enter μ0: 12, set List to L1 (typed with ), leave Freq: 1, and select the alternative ​μ<μ0​. The calculator finds ​xˉ​ and ​Sx​​ from the list itself. If you only had summary statistics, you would set Inpt to Stats and type them in instead.

NORMALFLOATAUTOREALRADIANMP
T-Test
Inpt:DataStats
μ₀:12
List:L1
Freq:1
μ:≠μ₀<μ₀>μ₀
Color:BLUE
CalculateDraw
4

Move down to Calculate and press .

Result

​t≈−2.34​ and ​p≈0.0219, so at the 5% level there is sufficient evidence to reject ​H0​.

NORMALFLOATAUTOREALRADIANMP
T-Test
μ<12
t=-2.342606428
p=0.0219163756
x̄=11.75
Sx=0.3374742789
n=10

Your turn

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

  1. 1

    Test ​H0​:μ=30​ against ​Ha​:μ<30​ using the sample ​29.6,28.9,30.4,28.4,30.1,29.3,30.2,28.6, at the 5% level.

  2. 2

    Test ​H0​:μ=8​ against ​Ha​:μ<8​ using the sample ​7.9,8.2,7.6,8.0,7.7,8.1,7.5,7.8,8.3,7.6,7.9,7.7, at the 5% level.

  3. 3

    Test ​H0​:μ=120​ against ​Ha​:μ<120​ using the sample ​118,122,116,119,117,123,118,115,121,117, at the 5% level.