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According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours different from the recommended number of hours per unit? The data show the results of a survey of 13 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 0.5, 2.9, 0, 0.2, 1, 2.8, 3.1, 1, 0.2, 2.5, 0, 1.1, 1.8 What can be concluded at the a= 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer

According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours different from the recommended number of hours per unit? The data show the results of a survey of 13 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 0.5, 2.9, 0, 0.2, 1, 2.8, 3.1, 1, 0.2, 2.5, 0, 1.1, 1.8 What can be concluded at the a= 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer

MATLAB: An Introduction with Applications
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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**Question** 1. The data suggest that the population mean study time per unit for statistics students is not significantly different from 2 at α = 0.05, so there is insufficient evidence to conclude that the population mean study time per unit for statistics students is different from 2. 2. The data suggest the population mean is significantly different from 2 at α = 0.05, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is different from 2. 3. The data suggest the population mean is not significantly different from 2 at α = 0.05, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is equal to 2. **h. Interpret the p-value in the context of the study.** - If the population mean study time per unit for statistics students is 2 and if you survey another 13 statistics students then there would be a 5.6363144% chance that the population mean would either be less than 1.32 or greater than 2.68. - There is a 5.6363144% chance that the population mean study time per unit for statistics students is not equal to 2. - There is a 5.6363144% chance of a Type I error. **i. Interpret the level of significance in the context of the study.** - If the population mean study time per unit for statistics students is different from 2 and if you survey another 13 statistics students, then there would be a 5% chance that we would end up falsely concluding that the population mean study time per unit for statistics students is equal to 2. - If the population mean study time per unit for statistics students is 2 and if you survey another 13 statistics students, then there would be a 5% chance that we would end up falsely concluding that the population mean study time per unit for statistics students is different from 2. - There is a 5% chance that the population mean study time per unit for statistics students is different from 2. - There is a 5% chance that students just don't study at all so there is no point to this survey.
Transcribed Image Text:**Question** 1. The data suggest that the population mean study time per unit for statistics students is not significantly different from 2 at α = 0.05, so there is insufficient evidence to conclude that the population mean study time per unit for statistics students is different from 2. 2. The data suggest the population mean is significantly different from 2 at α = 0.05, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is different from 2. 3. The data suggest the population mean is not significantly different from 2 at α = 0.05, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is equal to 2. **h. Interpret the p-value in the context of the study.** - If the population mean study time per unit for statistics students is 2 and if you survey another 13 statistics students then there would be a 5.6363144% chance that the population mean would either be less than 1.32 or greater than 2.68. - There is a 5.6363144% chance that the population mean study time per unit for statistics students is not equal to 2. - There is a 5.6363144% chance of a Type I error. **i. Interpret the level of significance in the context of the study.** - If the population mean study time per unit for statistics students is different from 2 and if you survey another 13 statistics students, then there would be a 5% chance that we would end up falsely concluding that the population mean study time per unit for statistics students is equal to 2. - If the population mean study time per unit for statistics students is 2 and if you survey another 13 statistics students, then there would be a 5% chance that we would end up falsely concluding that the population mean study time per unit for statistics students is different from 2. - There is a 5% chance that the population mean study time per unit for statistics students is different from 2. - There is a 5% chance that students just don't study at all so there is no point to this survey.
**Educational Resource: Hypothesis Testing for Study Hours** **Scenario:** According to the Carnegie unit system, the recommended number of hours students should study per unit is 2 hours. This research aims to determine if statistics students' study hours differ from this recommendation. The following data are the results from a survey of 13 statistics students, showing the hours studied per unit. Assume a normal distribution for the population. **Data Collected:** 0.5, 2.9, 0.2, 1, 2.8, 3.1, 1, 0.2, 2.5, 0, 1.1, 1.8 **Objective:** Determine the conclusion at the \( \alpha = 0.05 \) level of significance. **Procedure:** a. **Statistical Test Selection:** - Choose an appropriate test for the study. Options might include a t-test or another relevant statistical test based on the context. b. **Hypotheses Formulation:** - **Null Hypothesis (\( H_0 \)):** The mean study time per unit is 2 hours. - **Alternative Hypothesis (\( H_1 \)):** The mean study time per unit is not 2 hours. c. **Computation of Test Statistic:** - Calculate the test statistic based on the sample data (express this value to three decimal places). d. **p-value Calculation:** - Determine the p-value associated with the test statistic (express this value to four decimal places). e. **Comparison with Alpha:** - Compare the p-value against \( \alpha = 0.05 \). f. **Decision on Hypothesis:** - Choose whether to reject or fail to reject the null hypothesis based on the comparison. g. **Conclusion:** Evaluate and choose the correct statement: - **Option 1:** The data suggest that the population mean study time per unit for statistics students is not significantly different from 2 at \( \alpha = 0.05 \), implying insufficient evidence to conclude a difference from 2. - **Option 2:** The data suggest that the population mean is significantly different from 2 at \( \alpha = 0.05 \), indicating sufficient evidence to conclude a difference. - **Option 3:** The data suggest that the population mean is not significantly different from 2 at \( \alpha =
Transcribed Image Text:**Educational Resource: Hypothesis Testing for Study Hours** **Scenario:** According to the Carnegie unit system, the recommended number of hours students should study per unit is 2 hours. This research aims to determine if statistics students' study hours differ from this recommendation. The following data are the results from a survey of 13 statistics students, showing the hours studied per unit. Assume a normal distribution for the population. **Data Collected:** 0.5, 2.9, 0.2, 1, 2.8, 3.1, 1, 0.2, 2.5, 0, 1.1, 1.8 **Objective:** Determine the conclusion at the \( \alpha = 0.05 \) level of significance. **Procedure:** a. **Statistical Test Selection:** - Choose an appropriate test for the study. Options might include a t-test or another relevant statistical test based on the context. b. **Hypotheses Formulation:** - **Null Hypothesis (\( H_0 \)):** The mean study time per unit is 2 hours. - **Alternative Hypothesis (\( H_1 \)):** The mean study time per unit is not 2 hours. c. **Computation of Test Statistic:** - Calculate the test statistic based on the sample data (express this value to three decimal places). d. **p-value Calculation:** - Determine the p-value associated with the test statistic (express this value to four decimal places). e. **Comparison with Alpha:** - Compare the p-value against \( \alpha = 0.05 \). f. **Decision on Hypothesis:** - Choose whether to reject or fail to reject the null hypothesis based on the comparison. g. **Conclusion:** Evaluate and choose the correct statement: - **Option 1:** The data suggest that the population mean study time per unit for statistics students is not significantly different from 2 at \( \alpha = 0.05 \), implying insufficient evidence to conclude a difference from 2. - **Option 2:** The data suggest that the population mean is significantly different from 2 at \( \alpha = 0.05 \), indicating sufficient evidence to conclude a difference. - **Option 3:** The data suggest that the population mean is not significantly different from 2 at \( \alpha =
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