Three years ago, the mean price of a single-family home was $243,763. A real estate broker believes that the mean price has decreased since then. The null and alternative hypotheses are Ho: u = $243,763, Ha:p< $243,763. ...... a. Explain what it would mean to make a type I error. O A. A type I error would occur if in fact u < $243,763, but the results of the sampling lead to the conclusion that u = $243,763. O B. A type I error would occur if in fact u = $243,763, but the results of the sampling fail to lead to the conclusion that u < $243,763. O C. A type I error would occur if in fact u = $243,763, but the results of the sampling lead to the conclusion that u < $243,763. b. Explain what it would mean to make a type Il error. O A. A type Il error would occur if in fact u = $243,763, but the results of the sampling lead to the conclusion that u < $243,763. O B. A type ll error would occur if in fact u < $243,763, but the results of the sampling lead to the conclusion that u<$243,763. O C. A type Il error would occur if in fact u< $243,763, but the results of the sampling fail to lead to the conclusion that u < $243,763. c. Explain what it would mean to make a correct decision. O A. A correct decision would occur if u = $243,763 and the results of the sampling lead to the rejection of that fact; or if u< $243,763 and the results of the sampling do not lead to that conclusion. O B. A correct decision would occur if u = $243,763 and the results of the sampling do not lead to the rejection of that fact; or if u < $243,763 and the results of the sampling lead to that conclusion. OC. A correct decision would occur if u # $243,763 and the results of the sampling lead to the rejection of that fact; or if u = $243,763 and the results of the sampling do not lead to that conclusion. d. Now suppose that the results of carrying out the hypothesis test lead to nonrejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean price of a single family home equals $243,763. O A. type I error O B. correct decision O C. type Il error e. Suppose that the results of carrying out the hypothesis test lead to nonrejection of the null hypothesis. Classify the conclusion by error type or as a correct decision if in fact the mean price of a single family home is below $243,763. O A. correct decision O B. type Il error O C. type I error

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Three years ago, the mean price of a single-family home was $243,763. A real estate broker believes that the mean price has decreased since then. The null and
alternative hypotheses are Ho: µ = $243,763, H2: µ< $243,763.
.....
a. Explain what it would mean to make a type I error.
A. A type I error would occur if in fact u < $243,763, but the results of the sampling lead to the conclusion that u = $243,763.
B. A type I error would occur if in fact u = $243,763, but the results of the sampling fail to lead to the conclusion that µ < $243,763.
C. A type I error would occur if in fact u = $243,763, but the results of the sampling lead to the conclusion that u < $243,763.
b. Explain what it would mean to make a type Il error.
O A. A type Il error would occur if in fact u = $243,763, but the results of the sampling lead to the conclusion that u< $243,763.
B. A type Il error would occur if in fact u < $243,763, but the results of the sampling lead to the conclusion that u< $243,763.
O C. A type Il error would occur if in fact u < $243,763, but the results of the sampling fail to lead to the conclusion that u< $243,763.
c. Explain what it would mean to make a correct decision.
O A. A correct decision would occur if u = $243,763 and the results of the sampling lead to the rejection of that fact; or if u < $243,763 and the results of the
sampling do not lead to that conclusion.
O B. A correct decision would occur if u = $243,763 and the results of the sampling do not lead to the rejection of that fact; or if µ< $243,763 and the results of
the sampling lead to that conclusion.
OC. A correct decision would occur if u # $243,763 and the results of the sampling lead to the rejection of that fact; or if u = $243,763 and the results of the
sampling do not lead to that conclusion.
d. Now suppose that the results of carrying out the hypothesis test lead to nonrejection of the null hypothesis. Classify that conclusion by error type or as a correct
decision if in fact the mean price of a single family home equals $243,763.
A. type I error
B. correct decision
C. type Il error
e. Suppose that the results of carrying out the hypothesis test lead to nonrejection of the null hypothesis. Classify the conclusion by error type or as a correct
decision if in fact the mean price of a single family home is below $243,763.
A. correct decision
В. tуpe II error
O C. type I error
Transcribed Image Text:Three years ago, the mean price of a single-family home was $243,763. A real estate broker believes that the mean price has decreased since then. The null and alternative hypotheses are Ho: µ = $243,763, H2: µ< $243,763. ..... a. Explain what it would mean to make a type I error. A. A type I error would occur if in fact u < $243,763, but the results of the sampling lead to the conclusion that u = $243,763. B. A type I error would occur if in fact u = $243,763, but the results of the sampling fail to lead to the conclusion that µ < $243,763. C. A type I error would occur if in fact u = $243,763, but the results of the sampling lead to the conclusion that u < $243,763. b. Explain what it would mean to make a type Il error. O A. A type Il error would occur if in fact u = $243,763, but the results of the sampling lead to the conclusion that u< $243,763. B. A type Il error would occur if in fact u < $243,763, but the results of the sampling lead to the conclusion that u< $243,763. O C. A type Il error would occur if in fact u < $243,763, but the results of the sampling fail to lead to the conclusion that u< $243,763. c. Explain what it would mean to make a correct decision. O A. A correct decision would occur if u = $243,763 and the results of the sampling lead to the rejection of that fact; or if u < $243,763 and the results of the sampling do not lead to that conclusion. O B. A correct decision would occur if u = $243,763 and the results of the sampling do not lead to the rejection of that fact; or if µ< $243,763 and the results of the sampling lead to that conclusion. OC. A correct decision would occur if u # $243,763 and the results of the sampling lead to the rejection of that fact; or if u = $243,763 and the results of the sampling do not lead to that conclusion. d. Now suppose that the results of carrying out the hypothesis test lead to nonrejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean price of a single family home equals $243,763. A. type I error B. correct decision C. type Il error e. Suppose that the results of carrying out the hypothesis test lead to nonrejection of the null hypothesis. Classify the conclusion by error type or as a correct decision if in fact the mean price of a single family home is below $243,763. A. correct decision В. tуpe II error O C. type I error
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