Do the poor spend more time in the shower than the rich? The results of a survey asking poor and rich people how many minutes they spend in the shower are shown below. Poor 10 14 16 24 30 23 19 40 27 40 19 Rich: 11 20 14 2 22 23 21 5 3 17 16 23 24 Assume both follow a Normal distribution. What can be concluded at the the αα = 0.05 level of significance level of significance? 1. For this study, we should use? Select an answer: t-test for a population mean? t-test for the difference between two dependent population means ? t-test for the difference between two independent population means? z-test for a population proportion? or z-test for the difference between two population proportions? 2. The null and alternative hypotheses would be: H0: Select an answer μ1 or p1 ? Select an answer >, =, <, or ≠ ? Select an answer p2 or μ2 ? (please enter a decimal) H1: Select an answer: μ1 or p1 ? Select an answer ≠, =, >, or < ? Select an answer μ2 or p2 ? 3. The test statistic : t or z ? =_______ (please show your answer to 3 decimal places.) 4. The p-value = ______ (Please show your answer to 4 decimal places.) 5. The p-value is ? ≤ or > 6. Based on this, we should? Select an answer accept? fail to reject? or reject? the null hypothesis. 7. Thus, the final conclusion is that ... The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the population mean time in the shower for the poor is more than the population mean time in the shower for the rich. The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population mean time in the shower for the poor is more than the population mean time in the shower for the rich. The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the mean time in the shower for the eleven poor people that were surveyed is more than the mean time in the shower for the thirteen rich people that were surveyed. The results are statistically insignificant at αα = 0.05, so there is statistically significant evidence to conclude that the population mean time in the shower for the poor is equal to the population mean time in the shower for the rich.

Do the poor spend more time in the shower than the rich? The results of a survey asking poor and rich people how many minutes they spend in the shower are shown below. Poor 10 14 16 24 30 23 19 40 27 40 19 Rich: 11 20 14 2 22 23 21 5 3 17 16 23 24 Assume both follow a Normal distribution. What can be concluded at the the αα = 0.05 level of significance level of significance? 1. For this study, we should use? Select an answer: t-test for a population mean? t-test for the difference between two dependent population means ? t-test for the difference between two independent population means? z-test for a population proportion? or z-test for the difference between two population proportions? 2. The null and alternative hypotheses would be: H0: Select an answer μ1 or p1 ? Select an answer >, =, <, or ≠ ? Select an answer p2 or μ2 ? (please enter a decimal) H1: Select an answer: μ1 or p1 ? Select an answer ≠, =, >, or < ? Select an answer μ2 or p2 ? 3. The test statistic : t or z ? =_ (please show your answer to 3 decimal places.) 4. The p-value = (Please show your answer to 4 decimal places.) 5. The p-value is ? ≤ or > 6. Based on this, we should? Select an answer accept? fail to reject? or reject? the null hypothesis. 7. Thus, the final conclusion is that ... The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the population mean time in the shower for the poor is more than the population mean time in the shower for the rich. The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population mean time in the shower for the poor is more than the population mean time in the shower for the rich. The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the mean time in the shower for the eleven poor people that were surveyed is more than the mean time in the shower for the thirteen rich people that were surveyed. The results are statistically insignificant at αα = 0.05, so there is statistically significant evidence to conclude that the population mean time in the shower for the poor is equal to the population mean time in the shower for the rich.

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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Do the poor spend more time in the shower than the rich? The results of a survey asking poor and rich people how many minutes they spend in the shower are shown below.

Poor 10 14 16 24 30 23 19 40 27 40 19

Rich: 11 20 14 2 22 23 21 5 3 17 16 23 24

Assume both follow a Normal distribution. What can be concluded at the the αα = 0.05 level of significance level of significance?

1. For this study, we should use? Select an answer: t-test for a population mean? t-test for the difference between two dependent population means ? t-test for the difference between two independent population means? z-test for a population proportion? or z-test for the difference between two population proportions?

2. The null and alternative hypotheses would be:

H0: Select an answer μ1 or p1 ? Select an answer >, =, <, or ≠ ? Select an answer p2 or μ2 ? (please enter a decimal)

H1: Select an answer: μ1 or p1 ? Select an answer ≠, =, >, or < ? Select an answer μ2 or p2 ?

3. The test statistic : t or z ? =_______ (please show your answer to 3 decimal places.)

4. The p-value = ______ (Please show your answer to 4 decimal places.)

5. The p-value is ? ≤ or >

6. Based on this, we should? Select an answer accept? fail to reject? or reject? the null hypothesis.

7. Thus, the final conclusion is that ...

The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the population mean time in the shower for the poor is more than the population mean time in the shower for the rich.
The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population mean time in the shower for the poor is more than the population mean time in the shower for the rich.
The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the mean time in the shower for the eleven poor people that were surveyed is more than the mean time in the shower for the thirteen rich people that were surveyed.
The results are statistically insignificant at αα = 0.05, so there is statistically significant evidence to conclude that the population mean time in the shower for the poor is equal to the population mean time in the shower for the rich.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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