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 = (x - \mu )/(\sigma / √(n))`

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


`z-score = (24.6 - 20)/(12 / √(36))`

`z-score = (4.6)/(2) = 2.3`

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

Answer: 2.3