Answer
$\bar{x}$ = 139, μ=150, $σ_\bar{s}$=$\frac{28}{\sqrt 25}$=5.6, n=25
α = 0.01 , df = 25-1=24, critical value= 2.492
t =$\frac{\bar{x}-μ }{σ_\bar{s}}$= 1413-138812.2
= 2.05
for α = 0.05,
Non rejection region = t >= 2.492
Rejection region = t < 2.492
t < 2.05, we reject H0 and the claim is false.
b. Type 1 error is the significant level of the test. This means the confidence level of the test is 99% accurate. The probability of making such an error is equal to 1%.
Work Step by Step
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