Answer
$\bar{x}$ =15.75 minutes μ=15 minutes,σ=2.4 minutes,$σ_\bar{s}$ =$ \frac{2.4}{$36}$=0.4, n = 36
α = 0.01, df = 36-1=35, critical value=2.438
t=$ \frac{\bar{x}-μ }{σ_\bar{s}}$
= $ \frac{2540-2400 }{66.7509}$
=1.875
Rejection region = z > 2.438
Non rejection region = z <= 2.438
The value z = 1.875 falls within the non- rejection region, hence we failed to reject the null hypothesis and claim that the journalist’s conclusion is true. The conclusion is fair to the restaurant.
Work Step by Step
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