Answer
$\bar{x}$ =27.5minutes μ=25 minutes,σ=4.8 minutes,$σ_\bar{s}$ =$ \frac{4.8}{$16}$=1.2, n = 16
α = 0.01/2=0.005, df = 16-1=15, critical value=2.947
t=$ \frac{\bar{x}-μ }{σ_\bar{s}}$
= $ \frac{27.5-25 }{1.2}$
=2.083
Rejection region = z< -2.947 or z > 2.947
Non rejection region = -2.947 < z < 2.947
The value z = 2.083 falls within the non- rejection region, hence we failed to reject the null hypothesis and conclude that the mean waiting time at the emergency ward is no different from 25 minutes.
Work Step by Step
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