Three years ago, the mean price of an existing single-family home was $243,715. A real estate broker believes thatexisting home prices in her neighborhood are higher.14.(a) Determine the null and alternative hypotheses.(b) Explain what it would mean to make a Type I error.(c) Explain what it would mean to make a Type Il error.(a) State the hypotheses.Ho: (1)(2)2$H1: (3)(4)(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 $243,715, when it is the true mean cost.O B. The broker fails to reject the hypothesis that the mean price is $243,715, when the true mean price is greater than $C. The broker rejects the hypothesis that the mean price is $243,715, when the true mean price is greater than $243,7O D. The broker fails to reject the hypothesis that the mean price is $243,715, when it is the true mean cost.(c) Which of the following is a Type Il error?O A. The broker rejects the hypothesis that the mean price is $243,715, when it is the true mean cost.O B. The broker rejects the hypothesis that the mean price is $243,715, when the true mean price is greater than $243,7O C. The broker fails to reject the hypothesis that the mean price is $243,715, when it is the true mean cost.O D. The broker fails to reject the hypothesis that the mean price is $243,715, when the true mean price is greater than $

The type I error is defined as the rejecting the null hypothesis when actually it is true. The type…

Answered: . Three years ago, the mean price of an…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Three years ago, the mean price of an existing single-family home was $243,761. A real state broker believes that existing home prices in her neighborhood are lower. The Null and Alternative hypothesis are stated below: H0: μ=243,761 H1: μ<243,761 Which of the following is a type II error?
Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. They conducted a hypothesis test, and found that they had a Type I error, which is: to conclude that the current mean hours per week is higher than 4.5, when in fact, it is higher to conclude that the current mean hours per week is higher than 4.5, when in fact, it is the same
Three years ago, the mean price of an existing single-family home was $243,722. 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 II error.
How would a person set up the hypotheses if the wanted to test the claim: the mean length of a pyramid lake trout is greater than 21 inches? What would be a type 2 error in this case?
A travel analyst claims that the mean of the room rates for two adults at three-star hotels in Salt Lake City is $134. In a random sample of 37 three-star hotels in Salt Lake City, the mean room rate for two adults is $143. Assume the population standard deviation is $30. At is there enough evidence to reject the analyst's claim? a) Identify the claim and state the and b) Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and whether to use a z-test or a t-test. Explain your reasoning. c) Choose one of the options: a. Option 1: Find the critical value(s) identify the rejection region(s) by drawing a sketch, and find the appropriate standardized test statistic. b. Option 2: Find the appropriate standardized test statistic and the P-value by drawing sketch. d. Decided whether to reject or fail to reject the null hypothesis. e. Interpret the decision in the context of the original claim.
A company that manufactures steel wires guarantees that the mean breaking strength (in kN) of the wires is greater than 50. They measure the strengths for a sample of wires and test H0 : μ ≤ 50 versus H1 : μ > 50. a) If a Type I error is made, what conclusion will be drawn regarding the mean breaking strength? b) If a Type II error is made, what conclusion will be drawn regarding the mean breaking strength?
State the statistical hypotheses against a population with a mean of 90 for a one-tailed test where scores are expected to be lower than the population.
A manufacturer claims that the mean lifetime, μ, of its light bulbs is 44 months. The standard deviation of these lifetimes is 6 months. Fifty bulbs are selected at random, and their mean lifetime is found to be 42 months. Can we conclude, at the 0.05 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 44 months? State the null hypothesis H0 and the alternative hypothesis H1 Would the Z test be used? Find the value of the z test? Find the p-value? Can we conclude that the mean lifetime of light bulbs made by this manufacturer differs from 44 months? Yes or No?
Three years ago, the mean price of a single-family home was $243,741. A real estate broker believes that the mean price has increased since then. The null and alternative hypotheses are H0: μ=$243,741, Ha: μ>$243,741. Explain what it would mean to make a type I error. A. A type I error would occur if in fact μ>$243,741, but the results of the sampling lead to the conclusion that μ= $243,741. B. A type I error would occur if in fact μ=$243,741, but the results of the sampling lead to the conclusion that μ>$243,741. C. A type I error would occur if in fact μ=$243,741, but the results of the sampling fail to lead to the conclusion that μ>$243,741.
A chemical engineer claims that the average daily yield of a chemical manufactured in a chemical plant is 880. A sample of 50 daily yields is taken, and the sample mean is determined to be 871, with a standard deviation of 21. What would be the null hypothesis?
Three years ago the mean price of an existing single family home was 243,757. Determine the null and alternative hypothesis
A researcher is conducting a study to determine the mean trough dosage of medication for a population. Assume a previous study was conducted for the same medication and the mean trough dose was found to be 490 mg with a standard deviation of 30 mg. If the researcher wants to be 95% confident the true mean trough dosage of the medication is within 10 mg of the true mean trough dosage, what sample size is needed if the study is predicted to have an 76% retention rate?

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