Answer
$H_{o}: μ = 7000$
$H_{a}: μ \ne 7000$
Here we have n = 19, x̅ = 11555.16, s = 6095.015
$s_{x̅} = \frac{6095.015}{\sqrt 19} = 1398.29$
$t = \frac{11555 - 7000}{1398.29} = 3.26$
Using technology, we have p = 0.0044 at 95% confidence level.
Since P < 0.05, we will reject the Null Hypothesis.
Hence, there is strong evidence that the mean number of words spoken is different from 7000.
Work Step by Step
Given above