Environment Canada conducted a study to determine the hydrocarbon emissions at idling speed, in parts per million (ppm), for automobiles. The emissions measurement was assumed to be normally distributed with a standard deviation of 10 ppm. Using a random sample of n = 25 cars of each year model, an environmental engineer is interested in testing the null hypothesis H₁ : µ = 170, against the alternative hypothesis that Haμ> 170. If the engineer decides to reject the null hypothesis if the sample mean is 172 or greater, that is, if X > 172, what is the probability that the engineer commits a Type I error?

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[Statistical Power and Type I and II Errors] How do you calculate the Type I error? Round to four decimal points. Thanks!

Environment Canada conducted a study to determine the hydrocarbon emissions at idling speed, in
parts per million (ppm), for automobiles. The emissions measurement was assumed to be normally
distributed with a standard deviation of 10 ppm. Using a random sample of n = 25 cars of each year
model, an environmental engineer is interested in testing the null hypothesis H₁ : µ = 170, against
the alternative hypothesis that Haμ> 170. If the engineer decides to reject the null hypothesis if
the sample mean is 172 or greater, that is, if X > 172, what is the probability that the engineer
commits a Type I error?
Transcribed Image Text:Environment Canada conducted a study to determine the hydrocarbon emissions at idling speed, in parts per million (ppm), for automobiles. The emissions measurement was assumed to be normally distributed with a standard deviation of 10 ppm. Using a random sample of n = 25 cars of each year model, an environmental engineer is interested in testing the null hypothesis H₁ : µ = 170, against the alternative hypothesis that Haμ> 170. If the engineer decides to reject the null hypothesis if the sample mean is 172 or greater, that is, if X > 172, what is the probability that the engineer commits a Type I error?
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