Where you live, you can pick up an order from Costco in about 15 minutes by walking. We would like to test whether the average time for a robot delivery differs from this 15 minutes. Assuming the time X for a robot delivery is distributed as _X-N(µ, σ²), and we take a random sample of n=8, we wish to test Ho : μ = 15 US H₁ : µ‡15 at the 5% significance level. We observe n=8, T = 23. 1 and s-14.328 where s is the sample standard deviation. The value of the test statistic and the decision are 1.599, do not reject the null hypothesis 2.36, reject the null hypothesis 0.565, do not reject the null hypothesis 5.523, reject the null hypothesis

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Where you live, you can pick up an order from Costco in about 15 minutes by
walking. We would like to test whether the average time for a robot delivery differs
from this 15 minutes. Assuming the time X for a robot delivery is distributed as
X-N (μ, o2), and we take a random sample of n=8, we wish to test
Ho : μ = 15
US
H₁: μ 15
at the 5% significance level. We observe n=8, = 23.1 and s=14.328 where s is
the sample standard deviation. The value of the test statistic and the decision are
1.599, do not reject the null hypothesis
2.36, reject the null hypothesis
0.565, do not reject the null hypothesis
5.523, reject the null hypothesis
Transcribed Image Text:Where you live, you can pick up an order from Costco in about 15 minutes by walking. We would like to test whether the average time for a robot delivery differs from this 15 minutes. Assuming the time X for a robot delivery is distributed as X-N (μ, o2), and we take a random sample of n=8, we wish to test Ho : μ = 15 US H₁: μ 15 at the 5% significance level. We observe n=8, = 23.1 and s=14.328 where s is the sample standard deviation. The value of the test statistic and the decision are 1.599, do not reject the null hypothesis 2.36, reject the null hypothesis 0.565, do not reject the null hypothesis 5.523, reject the null hypothesis
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