#14 Three years ago, the mean price of an existing single-family home was $243 comma 700. A real estate broker believes that existing home prices in her neighborhood are higher. (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 II error. (a) State the hypotheses. Upper H 0: ▼ p sigma mu ▼ greater than less than not equals equals nothing Upper H 1: ▼ p mu sigma ▼ not equals less than equals greater than nothing (Type integers or decimals. Do not round. Do not include the $ symbol in your answer.) (b) Which of the following is a Type I error? A. The broker fails to reject the hypothesis that the mean price is $243 comma 700, when the true mean price is greater than $243 comma 700. B. The broker rejects the hypothesis that the mean price is $243 comma 700, when it is the true mean cost. C. The broker rejects the hypothesis that the mean price is $243 comma 700, when the true mean price is greater than $243 comma 700. D. The broker fails to reject the hypothesis that the mean price is $243 comma 700, when it is the true mean cost. (c) Which of the following is a Type II error? A. The broker rejects the hypothesis that the mean price is $243 comma 700, when it is the true mean cost. B. The broker fails to reject the hypothesis that the mean price is $243 comma 700, when the true mean price is greater than $243 comma 700. C. The broker rejects the hypothesis that the mean price is $243 comma 700, when the true mean price is greater than $243 comma 700. D. The broker fails to reject the hypothesis that the mean price is $243 comma 700, when it is the true mean cost. Click to select your answer(s).
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