Three years ago, the mean price of an existing single-family home was $243,793. 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 l error. (c) Explain what it would mean to make a Type Il error. (a) State the hypotheses. Ho: H,: (Type integers or decimals. Do not round.) (b) Which of the following is a Type I error? O A. The broker fails to reject the hypothesis that the mean price is $243,793, when it is the true mean cost. O B. The broker rejects the hypothesis that the mean price is $243,793, when it is the true mean cost. O C. The broker fails to reject the hypothesis that the mean price is $243,793, when the true mean price is less than $243,793. O D. The broker rejects the hypothesis that the mean price is $243,793, when the true mean price is less than $243,793. (c) Which of the following is a Type Il error? O A. The broker rejects the hypothesis that the mean price is $243,793, when it is the true mean cost. O B. The broker rejects the hypothesis that the mean price is $243,793, when the true mean price is less than $243,793. OC. The broker fails to reject the hypothesis that the mean price is $243,793, when it is the true mean cost. O D. The broker fails to reject the hypothesis that the mean price is $243,793, when the true mean price is less than $243,793.

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Three years ago, the mean price of an existing single-family home was $243,793. A real estate broker believes that existing home prices in her neighborhood are lower.

(a) Determine the null and alternative hypotheses.

(a) State the hypotheses.

H₀: μ = $243,793  
H₁: μ < $243,793  
(Type integers or decimals. Do not round.)

(b) Which of the following is a Type I error?

- A. The broker fails to reject the hypothesis that the mean price is $243,793, when it is the true mean cost.
- B. The broker rejects the hypothesis that the mean price is $243,793, when it is the true mean cost.
- C. The broker fails to reject the hypothesis that the mean price is $243,793, when the true mean price is less than $243,793.
- D. The broker rejects the hypothesis that the mean price is $243,793, when the true mean price is less than $243,793.

(c) Which of the following is a Type II error?

- A. The broker rejects the hypothesis that the mean price is $243,793, when it is the true mean cost.
- B. The broker rejects the hypothesis that the mean price is $243,793, when the true mean price is less than $243,793.
- C. The broker fails to reject the hypothesis that the mean price is $243,793, when it is the true mean cost.
- D. The broker fails to reject the hypothesis that the mean price is $243,793, when the true mean price is less than $243,793.
Transcribed Image Text:Three years ago, the mean price of an existing single-family home was $243,793. A real estate broker believes that existing home prices in her neighborhood are lower. (a) Determine the null and alternative hypotheses. (a) State the hypotheses. H₀: μ = $243,793 H₁: μ < $243,793 (Type integers or decimals. Do not round.) (b) Which of the following is a Type I error? - A. The broker fails to reject the hypothesis that the mean price is $243,793, when it is the true mean cost. - B. The broker rejects the hypothesis that the mean price is $243,793, when it is the true mean cost. - C. The broker fails to reject the hypothesis that the mean price is $243,793, when the true mean price is less than $243,793. - D. The broker rejects the hypothesis that the mean price is $243,793, when the true mean price is less than $243,793. (c) Which of the following is a Type II error? - A. The broker rejects the hypothesis that the mean price is $243,793, when it is the true mean cost. - B. The broker rejects the hypothesis that the mean price is $243,793, when the true mean price is less than $243,793. - C. The broker fails to reject the hypothesis that the mean price is $243,793, when it is the true mean cost. - D. The broker fails to reject the hypothesis that the mean price is $243,793, when the true mean price is less than $243,793.
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