1) For what values of X should Ho be rejected so that the level of the test will be 0.01? What will the power then be? )How large of a sample is needed so that a 5% level test has power 0.90?

MATLAB: An Introduction with Applications
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1. The mean drying time of a certain paint in a certain application is 12 minutes. A
new additive will be tested to see if it reduces the drying time. One hundred
specimens will be painted, and the sample mean drying time will be computed.
Assume the population standard deviation of drying times is 2 minutes. Let u be the
mean drying time for the new paint. Assume that unknown to the investigator, the
true mean drying time of the new paint is 11.5 minutes.
d) For what values of X should Ho be rejected so that the level of the test will be
0.01? What will the power then be?
e) How large of a sample is needed so that a 5% level test has power 0.90?
Transcribed Image Text:1. The mean drying time of a certain paint in a certain application is 12 minutes. A new additive will be tested to see if it reduces the drying time. One hundred specimens will be painted, and the sample mean drying time will be computed. Assume the population standard deviation of drying times is 2 minutes. Let u be the mean drying time for the new paint. Assume that unknown to the investigator, the true mean drying time of the new paint is 11.5 minutes. d) For what values of X should Ho be rejected so that the level of the test will be 0.01? What will the power then be? e) How large of a sample is needed so that a 5% level test has power 0.90?
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