how to find critical t value on ti 84

A2 sample t-test is used to exam whether or not the ways of two populations are equal.

This tutorial explains how to conduct a two sample t-test on a TI-84 calculator.

Example: Ii Sample t-test on a TI-84 Calculator

Researchers desire to know if a new fuel treatment leads to a modify in the average mpg of a certain car. To test this, they behave an experiment in which 12 cars receive the new fuel treatment and 12 cars do not. For the control group, the mean mpg is 21 mpg and the standard departure is two.73 mpg. For the handling group, the mean mpg is 22.75 mpg and the standard deviation is 3.25 mpg.

Employ this data to perform a two sample t-test to determine if the boilerplate mpg is unlike between the ii groups.

Pace 1: Select 2-SampTTest.

PrintingStat. Ringlet over to TESTS. Scroll downwardly to 2-SampTTest and press ENTER.

Two sample t-test on a TI-84

Step ii: Fill in the necessary info.

The calculator will ask for the following data:

Inpt:Choose whether yous are working with raw data (Data) or summary statistics (Stats). In this case, we will highlight Stats and pressENTER.
xane: The sample mean of the first group. We will type 21 and pressENTER.
Sx1:The sample standard deviation of the first group. Nosotros volition type 2.73 and printingENTER.
n1:The sample size of the beginning group. We volition type 12 and printingENTER.
ten2: The sample mean of the second group. Nosotros will blazon 22.75 and pressENTER.
Sx2:The sample standard deviation of the second group. Nosotros will type 3.25 and printingENTER.
n2:The sample size of the second group. We volition blazon 12 and pressENTER.
μ1:The alternative hypothesis to be used. Since we are performing a ii-tailed test, nosotros will highlight ≠ μ2and pressENTER. This indicates that our culling hypothesis is μ1≠μ2. The other two options would be used for left-tailed tests (μ1<μ2) and right-tailed tests (μ1>μ2) .
Pooled: Cull whether you desire to pool the variances of the two groups or not. In about cases, we will cull no. Highlight no and pressENTER.

Lastly, highlight Calculate and pressENTER.

Two sample t-test on a TI-84 calculator

Footstep 3: Interpret the results.

Our reckoner will automatically produce the results of the two sample t-exam:

Output of two sample t-test on a TI-84 calculator

Hither is how to translate the results:

μ_i≠μ_two : This is the culling hypothesis for the test.
t=-ane.42825817: This is the t test statistic.
p=0.1676749174: This is the p-value that corresponds to the examination statistic.
df=21.36350678:This is the degrees of freedom used to calculate the test statistic.
x _one=21. This is the sample mean that we entered for the first group.
ten ₂=22.75:This is the sample mean that we entered for the second group.
Sx1=ii.73. This is the sample standard deviation that nosotros entered for the kickoff grouping.
Sx2=3.25: This is the sample standard deviation that nosotros entered for the second group.
n1=12:This is the sample size we entered for the offset grouping.
n2=12:This is the sample size we entered for the 2nd grouping.

Because the p-value of the exam (0.1676749174) is not less than 0.05, we fail to reject the cypher hypothesis. This ways we do not take sufficient prove to say that the mean mpg is unlike between the two groups.

Source: https://www.statology.org/two-sample-t-test-ti-84-calculator/

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