Type I error. Type Il error.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Three years ago, the mean price of an existing single-family home was $243,779. A real estate broker believes that existing home prices in her neighborhood are lower.
(a) Determine the null and alternative hypotheses.
(b) Explain what it would mean to make a Type I error.
(c) Explain what it would mean to make a Type Il error.
(a) State the hypotheses.
Ho:
H1:
(Type integers or decimals. Do not round.)
(b) Which of the following is a Type I error?
O A. The broker rejects the hypothesis that the mean price is $243,779, when the true mean price is less than $243,779.
B. The broker fails to reject the hypothesis that the mean price is $243,779, when the true mean price is less than $243,779.
C. The broker rejects the hypothesis that the mean price is $243,779, when it is the true mean cost.
D. The broker fails to reject the hypothesis that the mean price is $243,779, when it is the true mean cost.
(c) Which of the following is a Type Il error?
O A. The broker fails to reject the hypothesis that the mean price is $243,779, when the true mean price is less than $243,779.
B. The broker fails to reject the hypothesis that the mean price is $243,779, when it is the true mean cost.
C. The broker rejects the hypothesis that the mean price is $243,779, when it is the true mean cost.
D. The broker rejects the hypothesis that the mean price is $243,779, when the true mean price is less than $243,779.
Transcribed Image Text:Three years ago, the mean price of an existing single-family home was $243,779. A real estate broker believes that existing home prices in her neighborhood are lower. (a) Determine the null and alternative hypotheses. (b) Explain what it would mean to make a Type I error. (c) Explain what it would mean to make a Type Il error. (a) State the hypotheses. Ho: H1: (Type integers or decimals. Do not round.) (b) Which of the following is a Type I error? O A. The broker rejects the hypothesis that the mean price is $243,779, when the true mean price is less than $243,779. B. The broker fails to reject the hypothesis that the mean price is $243,779, when the true mean price is less than $243,779. C. The broker rejects the hypothesis that the mean price is $243,779, when it is the true mean cost. D. The broker fails to reject the hypothesis that the mean price is $243,779, when it is the true mean cost. (c) Which of the following is a Type Il error? O A. The broker fails to reject the hypothesis that the mean price is $243,779, when the true mean price is less than $243,779. B. The broker fails to reject the hypothesis that the mean price is $243,779, when it is the true mean cost. C. The broker rejects the hypothesis that the mean price is $243,779, when it is the true mean cost. D. The broker rejects the hypothesis that the mean price is $243,779, when the true mean price is less than $243,779.
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