Dawnbridge

TI-84 Plus CE field manual for IB Math

AI HL only · 41 of 45

41

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

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

2

Set Inpt to Stats (you have summary statistics, not raw data). Enter μ0: 50, x̄: 51.2, Sx: 4.1, n: 16, and select the alternative ​μ>μ0​. If you had the raw data instead, set Inpt to Data, point List at the list holding it (e.g. L1, typed with ) with Freq: 1, and the calculator finds ​xˉ​ and ​Sx​​ for you.

NORMALFLOATAUTOREALRADIANMP
T-Test
Inpt:DataStats
μ₀:50
x̄:51.2
Sx:4.1
n:16
μ:≠μ₀<μ₀>μ₀
Color:BLUE
CalculateDraw
3

Move down to Calculate and press .

Result

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

NORMALFLOATAUTOREALRADIANMP
T-Test
μ>50
t=1.170731707
p=0.129985159
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.