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 50 seeds that were exposed to rock music took an average of 26 days to germinate. The standard deviation was 10 days. The 44 seeds that were exposed to classical music took an average of 30 days to germinate. The standard deviation for these seeds was 8 days. What can be concluded at the αα = 0.05 level of significance?For this study, we should use The null and alternative hypotheses would be: H0:H0: (please enter a decimal) H1:H1: (Please enter a decimal)The test statistic = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ααBased on this, we should the null hypothesis.Thus, the final conclusion is that ...The results are statistically insignificant at αα = 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.The results are statistically significant at αα = 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 αα = 0.05, so there is sufficient evidence to conclude that the mean germination time for the 50 seeds exposed to rock music that were observed is less than the mean germination time for the 44 seeds that were exposed to classical music that were observed.The results are statistically insignificant at αα = 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.Interpret the p-value in the context of the study.There is a 1.7% chance of a Type I error.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 50 seeds exposed to rock music and 44 seeds exposed to classical music are observed then there would be a 1.7% chance that the mean germination time for the 50 seeds exposed to rock music would be at least 4 days less than the mean germination time for the 44 seeds exposed to classical music.There is a 1.7% chance that the mean germination time for the 50 seeds exposed to rock music is at least 4 days less than the mean germination time for the 44 seeds exposed to classical music.If the mean germination time for the 50 seeds exposed to rock music is the same as the sample mean germination time for the 44 seeds exposed to classical music and if another 50 seeds exposed to rock music and 44 seeds exposed to classical music are observed then there would be a 1.7% chance of concluding that the mean germination time for the 50 seeds exposed to rock music is at least 4 days less than the mean germination time for the 44 seeds exposed to classical musicInterpret the level of significance in the context of the study.There is a 5% chance that the seeds just don't like your taste in music, so please let someone else conduct the study.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.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 50 seeds exposed to rock music and 44 seeds exposed to classical music are observed, then there would be a 5% chance that we would end up falsely concuding that the sampe mean times to germinate for these 50 seeds exposed to rock music and 44 seeds exposed to classical music differ from each other.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 50 seeds exposed to rock music and 44 seeds exposed to classical music are observed then there would be a 5% chance that we would end up falsely concuding 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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Description: 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 50 seeds that were exposed to rock music took an average of 26 days to germinate. The standard deviatio

Given Data : For Sample 1 x̄1 = 26.0 s1 = 10.0 n1 = 50 For Sample 2…

Answered: was 10 days. The 44 seeds that were…

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 50 seeds that were exposed to rock music took an average of 26 days to germinate. The standard deviation was 10 days. The 44 seeds that were exposed to classical music took an average of 30 days to germinate. The standard deviation for these seeds was 8 days. What can be concluded at the αα = 0.05 level of significance?

For this study, we should use
The null and alternative hypotheses would be:

H0:H0: (please enter a decimal)

H1:H1: (Please enter a decimal)

The test statistic = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is αα
Based on this, we should the null hypothesis.
Thus, the final conclusion is that ...
- The results are statistically insignificant at αα = 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.
- The results are statistically significant at αα = 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 αα = 0.05, so there is sufficient evidence to conclude that the mean germination time for the 50 seeds exposed to rock music that were observed is less than the mean germination time for the 44 seeds that were exposed to classical music that were observed.
- The results are statistically insignificant at αα = 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.
Interpret the p-value in the context of the study.
- There is a 1.7% chance of a Type I error.
- 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 50 seeds exposed to rock music and 44 seeds exposed to classical music are observed then there would be a 1.7% chance that the mean germination time for the 50 seeds exposed to rock music would be at least 4 days less than the mean germination time for the 44 seeds exposed to classical music.
- There is a 1.7% chance that the mean germination time for the 50 seeds exposed to rock music is at least 4 days less than the mean germination time for the 44 seeds exposed to classical music.
- If the mean germination time for the 50 seeds exposed to rock music is the same as the sample mean germination time for the 44 seeds exposed to classical music and if another 50 seeds exposed to rock music and 44 seeds exposed to classical music are observed then there would be a 1.7% chance of concluding that the mean germination time for the 50 seeds exposed to rock music is at least 4 days less than the mean germination time for the 44 seeds exposed to classical music
Interpret the level of significance in the context of the study.
- There is a 5% chance that the seeds just don't like your taste in music, so please let someone else conduct the study.
- 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.
- 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 50 seeds exposed to rock music and 44 seeds exposed to classical music are observed, then there would be a 5% chance that we would end up falsely concuding that the sampe mean times to germinate for these 50 seeds exposed to rock music and 44 seeds exposed to classical music differ from each other.
- 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 50 seeds exposed to rock music and 44 seeds exposed to classical music are observed then there would be a 5% chance that we would end up falsely concuding 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

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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