Water samples are taken from water used for cooling as it is being discharged from a power plant into river. It has been determined that as long as the mean temperature of the discharged water is at most 150°F, there will be no negative effects on the river's ecosystem. To investigate whether the plant is in compliance with regulations that prohibit a mean discharge water temperature above 150°, 50 water samples will be taken at randomly selected times and the temperature of each sample recorded. The resulting data will be used to test the hypotheses Ho: μ = 150° versus H₂: > 150°. In the context of this situation, describe type I error. O A type I error occurs when our estimate for the mean discharge temperature is higher than the actual temperature. O A type I error occurs when we say that the plant is not in compliance when in fact it is. O A type I error occurs when our estimate for the mean discharge temperature is lower than the actual temperature. O A type I error occurs when we don't have enough information to conclude whether or not the plant is in compliance. O A type I error occurs when we say that the plant is in compliance when in fact it is not. In the context of this situation, describe type II error. O A type II error occurs when we don't have enough information to conclude whether or not the plant is in compliance. O A type II error occurs when our estimate for the mean discharge temperature is lower than the actual temperature. O A type I error occurs when we conclude that the plant is not in compliance when in fact it is. O A type II error occurs when we conclude that the plant is in compliance when in fact it is not. A type II error occurs when our estimate for the mean discharge temperature is higher than the actual temperature. Which type of error would you consider more serious? Explain. O If our focus is trying to prevent harm to the environment, then type II error is more serious because it could have an unnecessary negative impact on the power plant. O If our focus is trying to prevent harm to the environment, then type I error is more serious because it could have an unnecessary negative impact on the power plant. If our focus is trying to prevent harm to the environment, then type I error is more serious because it could result in damage that we are unaware of.

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Chapter1: Starting With Matlab
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Water samples are taken from water used for cooling as it is being discharged from a power plant into a river. It has been determined that as long as the mean temperature of the discharged water is
at most 150°F, there will be no negative effects on the river's ecosystem. To investigate whether the plant is in compliance with regulations that prohibit a mean discharge water temperature above
150°, 50 water samples will be taken at randomly selected times and the temperature of each sample recorded. The resulting data will be used to test the hypotheses Ho: μ = 150° versus
H₂: μ > 150°. In the context of this situation, describe type I error.
a
A type I error occurs when our estimate for the mean discharge temperature is higher than the actual temperature.
A type I error occurs when we say that the plant is not in compliance when in fact it is.
A type I error occurs when our estimate for the mean discharge temperature is lower than the actual temperature.
A type I error occurs when we don't have enough information to conclude whether or not the plant is in compliance.
A type I error occurs when we say that the plant is in compliance when in fact it is not.
In the context of this situation, describe type II error.
A type II error occurs when we don't have enough information to conclude whether or not the plant is in compliance.
A type II error occurs when our estimate for the mean discharge temperature is lower than the actual temperature.
A type II error occurs when we conclude that the plant is not in compliance when in fact it is.
A type II error occurs when we conclude that the plant is in compliance when in fact it is not.
O A type II error occurs when our estimate for the mean discharge temperature is higher than the actual temperature.
Which type of error would you consider more serious? Explain.
If our focus is trying to prevent harm to the environment, then type II error is more serious because it could have an unnecessary negative impact on the power plant.
If our focus is trying to prevent harm to the environment, then type I error is more serious because it could have an unnecessary negative impact on the power plant.
If our focus is trying to prevent harm to the environment, then type I error is more serious because it could result in damage that we are unaware of.
If our focus is trying to prevent harm to the environment, then type II error is more serious because it could result in damage that we are unaware of.
Transcribed Image Text:Water samples are taken from water used for cooling as it is being discharged from a power plant into a river. It has been determined that as long as the mean temperature of the discharged water is at most 150°F, there will be no negative effects on the river's ecosystem. To investigate whether the plant is in compliance with regulations that prohibit a mean discharge water temperature above 150°, 50 water samples will be taken at randomly selected times and the temperature of each sample recorded. The resulting data will be used to test the hypotheses Ho: μ = 150° versus H₂: μ > 150°. In the context of this situation, describe type I error. a A type I error occurs when our estimate for the mean discharge temperature is higher than the actual temperature. A type I error occurs when we say that the plant is not in compliance when in fact it is. A type I error occurs when our estimate for the mean discharge temperature is lower than the actual temperature. A type I error occurs when we don't have enough information to conclude whether or not the plant is in compliance. A type I error occurs when we say that the plant is in compliance when in fact it is not. In the context of this situation, describe type II error. A type II error occurs when we don't have enough information to conclude whether or not the plant is in compliance. A type II error occurs when our estimate for the mean discharge temperature is lower than the actual temperature. A type II error occurs when we conclude that the plant is not in compliance when in fact it is. A type II error occurs when we conclude that the plant is in compliance when in fact it is not. O A type II error occurs when our estimate for the mean discharge temperature is higher than the actual temperature. Which type of error would you consider more serious? Explain. If our focus is trying to prevent harm to the environment, then type II error is more serious because it could have an unnecessary negative impact on the power plant. If our focus is trying to prevent harm to the environment, then type I error is more serious because it could have an unnecessary negative impact on the power plant. If our focus is trying to prevent harm to the environment, then type I error is more serious because it could result in damage that we are unaware of. If our focus is trying to prevent harm to the environment, then type II error is more serious because it could result in damage that we are unaware of.
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