Dawnbridge

TI-Nspire CX II 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

From the Scratchpad calculator, press → 6: Statistics → 7: Stat Tests → 2: t Test. Set Data Input Method to Stats. If you had the raw data instead, choose Data here and select the list holding it; the Nspire computes the summary statistics itself.

2

Fill in the dialog, moving between fields with : μ0: 50, x̄: 51.2, Sx: 4.1, n: 16, and set Alternate Hyp to ​Ha​:μ>μ0​.

Scratchpad
RAD
t Test
μ0:50▶
x̄:51.2▶
Sx:4.1▶
n:16▶
Alternate Hyp:Ha: μ > μ0▶
OKCancel
3

Select OK and press . The test results land on the calculator page.

Result

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

Scratchpad
RAD
tTest 50,51.2,4.1,16,1:stat.results
⎣⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎡​”Title””Alternate Hyp””t””PVal””df””x̄””sx := sn-1x””n”​”t Test””μ > μ0”1.170730.12998515.51.24.116.​⎦⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎤​

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.