A real estate agent believes that the mean home price in the northern part of a county is higher than the mean price in the southern part of the county and would like to test the claim. A simple random sample of housing prices is taken from each region. The results are shown below.### Table of Results:- **Southern Region:** - Mean: 155.056 - Variance: 345.938 - Observations: 18- **Northern Region:** - Mean: 168.889 - Variance: 560.928 - Observations: 18- **Pooled Variance:** 453.433- **Hypothesized Mean Difference:** 0- **Degrees of Freedom (df):** 34- **t Statistic:** 1.949- **P(T<=t) one-tail:** 0.030- **t Critical one-tail:** 2.441- **P(T<=t) two-tail:** 0.060- **t Critical two-tail:** 2.728- **Confidence Level:** 99%### Graph Explanation:The graph displays a normal distribution curve. There is a shaded area under the curve representing the p-value. The t-value is marked on the x-axis at the point where it occurs.- **p-value (p):** Enter p-value- **t-value (t):** Enter t-value### Calculations:- **n (Sample size):** 9- **Degrees of freedom:** Input - **Point estimate for the southern part of the county (x̄ₛ):** Enter value- **Point estimate for the northern part of the county (x̄ₙ):** Enter value

Answered: rice in the southern part of the county…

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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The average retirement age in America is 63 years old. Do small business owners retire at a different average age? The data below shows the results of a survey of small business owners who have recently retired. Assume that the distribution of the population is normal. 66, 60, 62, 71, 58, 73, 60, 72, 70, 61, 57 What can be concluded at the the a 0.05 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: uv = 63 H: uv> c. The test statistic ? = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that O The data suggest the population mean retirement age for small business owners is not significantly different from 63 at a = 0.05, so there is insufficient evidence to conclude that the population mean…
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please don't reject this question. I just need the standardized test statistic T=_____
The average retirement age in America is 64 years old. Do small business owners retire at a younger average age? The data below shows the results of a survey of small business owners who have recently retired. Assume that the distribution of the population is normal. 63, 54, 69, 69, 53, 53, 71, 51, 61, 60, 69, 54 What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: μν H1: c. The test statistic t (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) II
A real estate agent believes that the mean home price in the northern part of a county is higher than the mean price in the southern part of the county and would like to test the claim. A simple random sample of housing prices is taken from each region. The results are shown below. Mean Variance Observations Southern Northern 155.056 168.889 345.938 560.928 18 Pooled Variance 453.433 Hypothesized Mean Difference df 34 1949 t Stat P(T<=t) one-tail p= Ex: 1.234 0.030 2.441 0.060 t Critical one-tail P(T<=t) two-tail t Critical two-tail 2.728 2. Confidence Level 99% t = Ex: 1.234 n= Ex: 9 Degrees of freedom: df = Point estimate for the southern part of the county: 1 Ex: 1.234 Point estimate for the northern part of the county: 2 0耳_ 国 23 72°F
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A real estate agent believes that the mean home price in the northern part of a county is higher than the mean price in the southern part of the county and would like to test the claim. A simple random sample of housing prices is taken from each region. The results are shown below.

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