Question

N = 36 = 24.6 s = 12 h0: ? 20 ha: ? > 20 refer to exhibit 9-1. the test statistic is

Answer 1

To find the test statistic or z-score given sample number (n), sample mean (x), standard deviation (σ),  and population mean (μ), we can use

$z-score = \frac{x - \mu }{\sigma / \sqrt{n}}$

Given that n = 36, x = 24.6, μ = 20, and σ = 12,

$z-score = \frac{24.6 - 20}{12 / \sqrt{36}}$
$z-score = \frac{4.6}{2} = 2.3$

From this, we see that the test statistic is 2.3.

Answer: 2.3