You are thinking about opening a restaurant and are searching for a good location. From research you have done, you he mean income of those living near the restaurant must be over $85,000 to support the type of upscale restaurant y pen. You decide to take a simple random sample of 50 people living near one potential location. Based on the mean his sample, you will perform a test of Ho: μ = $85,000 H₁:μ> $85,000 where μ is the true mean income in the population of people who live near the restaurant. Which of the following is not true regarding Type I and Type II errors in this setting? All of these statements are true

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
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You are thinking about opening a restaurant and are searching for a good location. From research you have done, you know that
the mean income of those living near the restaurant must be over $85,000 to support the type of upscale restaurant you wish to
open. You decide to take a simple random sample of 50 people living near one potential location. Based on the mean income of
this sample, you will perform a test of
Ho : μ = $85,000
Haμ> $85,000
where is the true mean income in the population of people who live near the restaurant.
Which of the following is not true regarding Type I and Type II errors in this setting?
All of these statements are true.
A possible consequence of a Type I error here is you may open your restaurant in a location where the residents will
not be able to support it, so your restaurant may go out of business.
A Type I error occurs when you find convincing evidence that the mean income of all residents near the restaurant
exceeds $85,000 when in reality it does not.
A Type II error occurs when you do not find convincing evidence that the mean income of all residents near the
restaurant exceeds $85,000 when in reality it does.
A possible consequence of a Type II error here is you may not open your restaurant in a location where the residents
would have been able to support it and you lose potential income.
Transcribed Image Text:You are thinking about opening a restaurant and are searching for a good location. From research you have done, you know that the mean income of those living near the restaurant must be over $85,000 to support the type of upscale restaurant you wish to open. You decide to take a simple random sample of 50 people living near one potential location. Based on the mean income of this sample, you will perform a test of Ho : μ = $85,000 Haμ> $85,000 where is the true mean income in the population of people who live near the restaurant. Which of the following is not true regarding Type I and Type II errors in this setting? All of these statements are true. A possible consequence of a Type I error here is you may open your restaurant in a location where the residents will not be able to support it, so your restaurant may go out of business. A Type I error occurs when you find convincing evidence that the mean income of all residents near the restaurant exceeds $85,000 when in reality it does not. A Type II error occurs when you do not find convincing evidence that the mean income of all residents near the restaurant exceeds $85,000 when in reality it does. A possible consequence of a Type II error here is you may not open your restaurant in a location where the residents would have been able to support it and you lose potential income.
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