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 31 seeds that were exposed to rock music took an average of 22 days to germinate, and had a standard deviation was 14 days. The 66 seeds that were exposed to classical music took an average of 27 days to germinate, and had a standard deviation for these seeds was 6 days. What can be concluded at the αα = 0.05 level of significance? a. For this study, we should use- [Drop-down menu labeled "Select an answer"]b. The null and alternative hypotheses would be:- \( H_0 \): [Drop-down menu labeled "Select an answer"] [Drop-down menu labeled "Select an answer"] [Drop-down menu labeled "Select an answer"] (please enter a decimal)- \( H_1 \): [Drop-down menu labeled "Select an answer"] [Drop-down menu labeled "Select an answer"] [Drop-down menu labeled "Select an answer"] (Please enter a decimal)c. The test statistic \( \hat{?} = \) [Blank space for answer] (please show your answer to 3 decimal places.)d. The p-value = [Blank space for answer] (Please show your answer to 4 decimal places.)e. The p-value is [Drop-down menu labeled "?"] \( \alpha \)f. Based on this, we should [Drop-down menu labeled "Select an answer"] the null hypothesis.g. Thus, the final conclusion is that...- [Option 1] The results are statistically significant at \( \alpha = 0.05 \), so there is sufficient evidence to conclude that the mean germination time for the 31 seeds exposed to rock music that were observed is different than the mean germination time for the 66 seeds that were exposed to classical music that were observed.- [Option 2] The results are statistically significant at \( \alpha = 0.05 \), 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.- [Option 3, Checked] The results are statistically insignificant at \( \alpha = 0.05 \), 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.- [Option 4] The results are statistically insignificant at \( \alpha = 0.05 \), 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. ### Interpretation of Statistical Values in a Seed Germination Study#### h. Interpretation of the p-value in the context of the study- **Option 1**: 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 31 seeds exposed to rock music and 66 seeds exposed to classical music are observed, there would be a 6.46% chance that the mean germination time for the 31 seeds exposed to rock music would differ from the mean germination time for the 66 seeds exposed to classical music by at least 5 days.- **Option 2**: There is a 6.46% chance of a Type I error.- **Option 3**: If the sample mean germination time for the 31 seeds exposed to rock music is the same as the sample mean germination time for the 66 seeds exposed to classical music, and if another 31 seeds exposed to rock music and 66 seeds exposed to classical music are observed, then there would be a 6.46% chance of concluding that the mean germination time for the 31 seeds exposed to rock music differs by at least 5 days from the mean germination time for the 66 seeds exposed to classical music.- **Option 4**: There is a 6.46% chance that the mean germination time for the 31 seeds exposed to rock music differs by at least 5 days from the mean germination time for the 66 seeds exposed to classical music.#### i. Interpretation of the level of significance in the context of the study- **Option 1**: There is a 5% chance that there is a difference in the population mean time for seeds exposed to rock vs. classical music to germinate.- **Option 2**: 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 31 seeds exposed to rock music and 66 seeds exposed to classical music are observed, then there would be a 5% chance that we would end up falsely concluding that the population mean time for seeds exposed to rock music to germinate is different from the population mean time for seeds exposed to classical music to germinate.- **Option 3**: There is a 5%

We want find null hypothesis , alternate hypothesis , test statistics Note: According to bartleby…

Answered: a. For this study, we should use Select…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P