Question

question 6
you are performing a left - tailed t - test with test statistic ( t=-1.17 ) and a sample of size 41, find the p - value to 4 decimal places.
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Explanation:

Step1: Determine the degrees of freedom

The degrees of freedom \(df=n - 1\), where \(n = 41\). So \(df=41-1 = 40\).

Step2: Use the t - distribution table or software

For a left - tailed t - test with \(t=-1.17\) and \(df = 40\). Using a t - distribution calculator (or software like R: pt(-1.17,40)), the p - value is calculated.
The formula for the p - value in a left - tailed t - test is \(P(T<t)\) where \(T\) follows a t - distribution with \(df\) degrees of freedom.

Answer:

\(0.1241\)