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Does it take less time for seeds to germinate if they are near rock music that is continuously playing compared to being near classical music? The 57 seeds that were exposed to rock music took an average of 27 days to germinate. The standard deviation was 8 days. The 57 seeds that were exposed to classical music took an average of 31 days to germinate. The standard deviation for these seeds was 12 days. What can be concluded at the ax = 0.05 level of significance?

Does it take less time for seeds to germinate if they are near rock music that is continuously playing compared to being near classical music? The 57 seeds that were exposed to rock music took an average of 27 days to germinate. The standard deviation was 8 days. The 57 seeds that were exposed to classical music took an average of 31 days to germinate. The standard deviation for these seeds was 12 days. What can be concluded at the ax = 0.05 level of significance?

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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Does it take less time for seeds to germinate if they are near rock music that is continuously playing compared to being near classical music? The 57 seeds that were exposed to rock music took an average of 27 days to germinate. The standard deviation was 8 days. The 57 seeds that were exposed to classical music took an average of 31 days to germinate. The standard deviation for these seeds was 12 days. What can be concluded at the x = 0.05 level of significance? a. For this study, we should use t-test for the difference between two independent population means b. The null and alternative hypotheses would be: Ho: 1 8 8 H₁ : 1 c. The test statistic t d. The p-value = e. The p-value is sv a u2 f. Based on this, we should reject u2 (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) the null hypothesis. g. Thus, the final conclusion is that ... Ⓒ The results are statistically significant at x = 0.05, so there is sufficient evidence to conclude that the population mean time for seeds exposed to rock music to germinate is less than the population mean time for seeds exposed to classical music to germinate. The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the mean germination time for the 57 seeds exposed to rock music that were observed is less than the mean germination time for the 57 seeds that were exposed to classical music that were observed. The results are statistically insignificant at = 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. O The results are statistically insignificant at = 0.05, so there is insufficient evidence to conclude that the population mean time for seeds exposed to rock music to germinate is less than the population mean time for seeds exposed to classical music to germinate.
Transcribed Image Text:Does it take less time for seeds to germinate if they are near rock music that is continuously playing compared to being near classical music? The 57 seeds that were exposed to rock music took an average of 27 days to germinate. The standard deviation was 8 days. The 57 seeds that were exposed to classical music took an average of 31 days to germinate. The standard deviation for these seeds was 12 days. What can be concluded at the x = 0.05 level of significance? a. For this study, we should use t-test for the difference between two independent population means b. The null and alternative hypotheses would be: Ho: 1 8 8 H₁ : 1 c. The test statistic t d. The p-value = e. The p-value is sv a u2 f. Based on this, we should reject u2 (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) the null hypothesis. g. Thus, the final conclusion is that ... Ⓒ The results are statistically significant at x = 0.05, so there is sufficient evidence to conclude that the population mean time for seeds exposed to rock music to germinate is less than the population mean time for seeds exposed to classical music to germinate. The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the mean germination time for the 57 seeds exposed to rock music that were observed is less than the mean germination time for the 57 seeds that were exposed to classical music that were observed. The results are statistically insignificant at = 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. O The results are statistically insignificant at = 0.05, so there is insufficient evidence to conclude that the population mean time for seeds exposed to rock music to germinate is less than the population mean time for seeds exposed to classical music to germinate.
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