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Does it take a different amount of time for seeds to germinate if they are near rock music that is continuously playing compared to being near classical music? The 54 seeds that were exposed to rock music took an average of 23 days to germinate. The standard deviation was 11 days. The 54 seeds that were exposed to classical music took an average of 17 days to germinate. The standard deviation for these seeds was 12 days. What can be concluded at the a = 0.01 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 V Select an answer V Select an answer v(please enter a decimal) H: Select an answer Select an answer vSelect an answer v (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.)

Does it take a different amount of time for seeds to germinate if they are near rock music that is continuously playing compared to being near classical music? The 54 seeds that were exposed to rock music took an average of 23 days to germinate. The standard deviation was 11 days. The 54 seeds that were exposed to classical music took an average of 17 days to germinate. The standard deviation for these seeds was 12 days. What can be concluded at the a = 0.01 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 V Select an answer V Select an answer v(please enter a decimal) H: Select an answer Select an answer vSelect an answer v (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.)

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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**Final Conclusion and Interpretation in a Seed Germination Study** In this study, we explored the effect of music type on seed germination times. Here is the detailed statistical analysis and final conclusions based on the data: ### Final Conclusion: 1. **Results at α = 0.01:** - **Option 1:** The results are statistically insignificant; there's insufficient evidence to conclude any difference in mean germination times between seeds exposed to rock music and classical music. - **Option 2:** The results are statistically significant; there's enough evidence to conclude that exposure to rock music affects seed germination times differently compared to classical music. - **Option 3:** The results are statistically insignificant; there's evidence that the germination times for seeds exposed to rock music and classical music are equal. - **Option 4:** The results are statistically significant; the mean germination time for seeds exposed to each type of music is different. ### Interpretation of the p-value: - **Context:** - If the germination time for seeds exposed to rock music is the same as for seeds exposed to classical music, the observed data would result in a 0.78% chance of showing a difference of at least 6 days in mean germination times. - **Interpretations:** - This p-value indicates a small likelihood of observing a data difference as extreme as what was recorded if there's no true difference between the music types. ### Interpretation of the Level of Significance: 1. **1% Chance:** - Suggests a 1% likelihood that any observed difference in germination times is due to random chance rather than an actual effect of music type. 2. **Type I Error:** - The chance of mistakenly concluding that the music types differ in their effects on germination times is minimal. Through this study, insights are gained into how musical stimuli might influence biological processes such as seed germination. Whether rock or classical music affects germination proves significant for future experimental designs and applications in agricultural practices.
Transcribed Image Text:**Final Conclusion and Interpretation in a Seed Germination Study** In this study, we explored the effect of music type on seed germination times. Here is the detailed statistical analysis and final conclusions based on the data: ### Final Conclusion: 1. **Results at α = 0.01:** - **Option 1:** The results are statistically insignificant; there's insufficient evidence to conclude any difference in mean germination times between seeds exposed to rock music and classical music. - **Option 2:** The results are statistically significant; there's enough evidence to conclude that exposure to rock music affects seed germination times differently compared to classical music. - **Option 3:** The results are statistically insignificant; there's evidence that the germination times for seeds exposed to rock music and classical music are equal. - **Option 4:** The results are statistically significant; the mean germination time for seeds exposed to each type of music is different. ### Interpretation of the p-value: - **Context:** - If the germination time for seeds exposed to rock music is the same as for seeds exposed to classical music, the observed data would result in a 0.78% chance of showing a difference of at least 6 days in mean germination times. - **Interpretations:** - This p-value indicates a small likelihood of observing a data difference as extreme as what was recorded if there's no true difference between the music types. ### Interpretation of the Level of Significance: 1. **1% Chance:** - Suggests a 1% likelihood that any observed difference in germination times is due to random chance rather than an actual effect of music type. 2. **Type I Error:** - The chance of mistakenly concluding that the music types differ in their effects on germination times is minimal. Through this study, insights are gained into how musical stimuli might influence biological processes such as seed germination. Whether rock or classical music affects germination proves significant for future experimental designs and applications in agricultural practices.
**Title: Analyzing the Effect of Music on Seed Germination Time** **Research Question:** Does it take a different amount of time for seeds to germinate if they are near rock music that is continuously playing compared to being near classical music? **Study Details:** - **Rock Music Exposure:** 54 seeds, average germination time = 23 days, standard deviation = 11 days. - **Classical Music Exposure:** 54 seeds, average germination time = 17 days, standard deviation = 12 days. **Objective:** Determine if there is a statistically significant difference in germination times at the \(\alpha = 0.01\) level of significance. **Steps for Analysis:** **a. Determine the Appropriate Test:** - Identify the statistical test used for comparing two independent sample means. **b. Formulate Hypotheses:** - Null Hypothesis (\(H_0\)): No difference in mean germination time. - Alternative Hypothesis (\(H_1\)): There is a difference in mean germination time. **c. Calculate the Test Statistic:** - Use the appropriate formula to calculate the test statistic (show answer to 3 decimal places). **d. Determine the p-value:** - Calculate the p-value from the test statistic (show answer to 4 decimal places). **e. Compare the p-value to \(\alpha\):** - Determine whether the p-value is less than \(\alpha = 0.01\). **f. Conclusion:** - Based on the results, decide to accept or reject the null hypothesis. This structured approach will help in drawing conclusive evidence on whether exposure to different types of music affects seed germination times significantly.
Transcribed Image Text:**Title: Analyzing the Effect of Music on Seed Germination Time** **Research Question:** Does it take a different amount of time for seeds to germinate if they are near rock music that is continuously playing compared to being near classical music? **Study Details:** - **Rock Music Exposure:** 54 seeds, average germination time = 23 days, standard deviation = 11 days. - **Classical Music Exposure:** 54 seeds, average germination time = 17 days, standard deviation = 12 days. **Objective:** Determine if there is a statistically significant difference in germination times at the \(\alpha = 0.01\) level of significance. **Steps for Analysis:** **a. Determine the Appropriate Test:** - Identify the statistical test used for comparing two independent sample means. **b. Formulate Hypotheses:** - Null Hypothesis (\(H_0\)): No difference in mean germination time. - Alternative Hypothesis (\(H_1\)): There is a difference in mean germination time. **c. Calculate the Test Statistic:** - Use the appropriate formula to calculate the test statistic (show answer to 3 decimal places). **d. Determine the p-value:** - Calculate the p-value from the test statistic (show answer to 4 decimal places). **e. Compare the p-value to \(\alpha\):** - Determine whether the p-value is less than \(\alpha = 0.01\). **f. Conclusion:** - Based on the results, decide to accept or reject the null hypothesis. This structured approach will help in drawing conclusive evidence on whether exposure to different types of music affects seed germination times significantly.
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