Math / Data & Statistics

QuestionVideo: How to Find T-Value from a T-Table? t-table.pdf $\square$ What is the $t$ value with a $95 \%$ confidence interval for the true population mean if the sample size $\mathrm{n}=23$ ? (Please keep three decimal places) t value = $\square$ Submit Question

Studdy Solution

STEP 1

1. The sample size $n = 23$ .
2. The degrees of freedom $df = n - 1$ .
3. We are looking for a two-tailed $t$ -value corresponding to a $95\%$ confidence interval.

STEP 2

1. Calculate the degrees of freedom.
2. Locate the $t$ -value in the $t$ -table using the degrees of freedom and the confidence level.

STEP 3

Calculate the degrees of freedom:
$df = n - 1 = 23 - 1 = 22$

STEP 4

Use the $t$ -table to find the $t$ -value for $df = 22$ and a $95\%$ confidence interval. This corresponds to a two-tailed test with $\alpha = 0.05$ .
The $t$ -value is approximately:
$\boxed{2.074}$

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