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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 v Select an answer vSelect an answerV (Please enter a decimal) c. The test statistic ? v (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 ? v a f. Based on this, we should Select an answer v the null hypothesis.

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 v Select an answer vSelect an answerV (Please enter a decimal) c. The test statistic ? v (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 ? v a f. Based on this, we should Select an answer v the null hypothesis.

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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Please solve for parts D, E, and F.

**Title: Investigating the Impact of Music on Seed Germination** **Introduction:** The study explores whether the presence of different types of music affects the time taken for seeds to germinate. Specifically, it examines seeds exposed to rock music versus classical music and aims to reach conclusions at a significance level of α = 0.01. **Research Data:** - Seeds exposed to rock music: - Average germination time: 23 days - Standard deviation: 11 days - Seeds exposed to classical music: - Average germination time: 17 days - Standard deviation: 12 days **Study Questions:** a. **Statistical Test:** - Determine the appropriate test for this study by selecting an analysis method. b. **Hypotheses Formulation:** - Null Hypothesis (H₀): Select appropriate parameters and enter respective values to establish the hypothesis. - Alternative Hypothesis (H₁): Formulate using selected parameters and values. c. **Test Statistic:** - Calculate and input the test statistic with a precision of three decimal places. d. **p-Value Calculation:** - Derive the p-value and present your answer to four decimal places. e. **Significance Evaluation:** - Compare p-value with the significance level (α) to assess statistical significance. f. **Conclusion:** - Based on the analysis, decide whether to accept or reject the null hypothesis regarding the effect of music on seed germination. Please insert your data solutions in the provided spaces to complete this study.
Transcribed Image Text:**Title: Investigating the Impact of Music on Seed Germination** **Introduction:** The study explores whether the presence of different types of music affects the time taken for seeds to germinate. Specifically, it examines seeds exposed to rock music versus classical music and aims to reach conclusions at a significance level of α = 0.01. **Research Data:** - Seeds exposed to rock music: - Average germination time: 23 days - Standard deviation: 11 days - Seeds exposed to classical music: - Average germination time: 17 days - Standard deviation: 12 days **Study Questions:** a. **Statistical Test:** - Determine the appropriate test for this study by selecting an analysis method. b. **Hypotheses Formulation:** - Null Hypothesis (H₀): Select appropriate parameters and enter respective values to establish the hypothesis. - Alternative Hypothesis (H₁): Formulate using selected parameters and values. c. **Test Statistic:** - Calculate and input the test statistic with a precision of three decimal places. d. **p-Value Calculation:** - Derive the p-value and present your answer to four decimal places. e. **Significance Evaluation:** - Compare p-value with the significance level (α) to assess statistical significance. f. **Conclusion:** - Based on the analysis, decide whether to accept or reject the null hypothesis regarding the effect of music on seed germination. Please insert your data solutions in the provided spaces to complete this study.
g. Thus, the final conclusion is that ___. - (1) The results are statistically insignificant at α = 0.01, so there is insufficient evidence to conclude that the population mean time for seeds exposed to rock music to germinate is different than the population mean time for seeds exposed to classical music to germinate. - (2) The results are statistically significant at α = 0.01, so there is sufficient evidence to conclude that the mean germination time for the 54 seeds exposed to rock music that were observed is different than the mean germination time for the 54 seeds that were exposed to classical music that were observed. - (3) The results are statistically insignificant at α = 0.01, so there is statistically significant evidence to conclude that the population mean time for seeds exposed to rock music to germinate is equal to the population mean time for seeds exposed to classical music to germinate. - (4) The results are statistically significant at α = 0.01, so there is sufficient evidence to conclude that the population mean time for seeds exposed to rock music to germinate is different than the population mean time for seeds exposed to classical music to germinate. h. Interpret the p-value in the context of the study. - (1) If the sample mean germination time for the 54 seeds exposed to rock music is the same as the sample mean germination time for the 54 seeds exposed to classical music and if another 54 seeds exposed to rock music and 54 seeds exposed to classical music are observed then there would be a 0.78% chance of concluding that the mean germination time for the 54 seeds exposed to rock music differs by at least 6 days from the mean germination time for the 54 seeds exposed to classical music. - (2) There is a 0.78% chance that the mean germination time for the 54 seeds exposed to rock music differs by at least 6 days from the mean germination time for the 54 seeds exposed to classical music. - (3) There is a 0.78% chance of a Type I error. - (4) If the population mean time for seeds exposed to rock music to germinate is the same as the population mean time for seeds exposed to classical music to germinate and if another 54 seeds exposed to rock music and 54 seeds exposed to classical music are observed then there would be a 0.78%
Transcribed Image Text:g. Thus, the final conclusion is that ___. - (1) The results are statistically insignificant at α = 0.01, so there is insufficient evidence to conclude that the population mean time for seeds exposed to rock music to germinate is different than the population mean time for seeds exposed to classical music to germinate. - (2) The results are statistically significant at α = 0.01, so there is sufficient evidence to conclude that the mean germination time for the 54 seeds exposed to rock music that were observed is different than the mean germination time for the 54 seeds that were exposed to classical music that were observed. - (3) The results are statistically insignificant at α = 0.01, so there is statistically significant evidence to conclude that the population mean time for seeds exposed to rock music to germinate is equal to the population mean time for seeds exposed to classical music to germinate. - (4) The results are statistically significant at α = 0.01, so there is sufficient evidence to conclude that the population mean time for seeds exposed to rock music to germinate is different than the population mean time for seeds exposed to classical music to germinate. h. Interpret the p-value in the context of the study. - (1) If the sample mean germination time for the 54 seeds exposed to rock music is the same as the sample mean germination time for the 54 seeds exposed to classical music and if another 54 seeds exposed to rock music and 54 seeds exposed to classical music are observed then there would be a 0.78% chance of concluding that the mean germination time for the 54 seeds exposed to rock music differs by at least 6 days from the mean germination time for the 54 seeds exposed to classical music. - (2) There is a 0.78% chance that the mean germination time for the 54 seeds exposed to rock music differs by at least 6 days from the mean germination time for the 54 seeds exposed to classical music. - (3) There is a 0.78% chance of a Type I error. - (4) If the population mean time for seeds exposed to rock music to germinate is the same as the population mean time for seeds exposed to classical music to germinate and if another 54 seeds exposed to rock music and 54 seeds exposed to classical music are observed then there would be a 0.78%
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