Question

estimate the p - value for the one - mean t - test using the information given below.
left - tailed test, n = 11, and test statistic = - 1.541
click here to view page 1 of the t - table.
click here to view page 2 of the t - table.
the p - value is

Explanation:

Step1: Determine the degrees of freedom

For a one - mean t - test, the degrees of freedom \(df=n - 1\). Given \(n = 11\), so \(df=11-1 = 10\).

Step2: Locate the test statistic in the t - table

We have a left - tailed test with \(t=-1.541\). Looking at the row for \(df = 10\) in the t - table:
The t - table values for \(df = 10\) are: \(t_{0.10}=-1.372\), \(t_{0.075}=-1.564\)

Step3: Estimate the P - value

Since \(-1.564<-1.541<-1.372\), the P - value is between \(0.075\) and \(0.10\)

Answer:

The P - value is between \(0.075\) and \(0.10\)