Question

Does it take more time for seeds to germinate if they are near rock music that is continuously playing compared to being near classical music? The 53 seeds that were exposed to rock music took an average of 20 days to germinate. The standard deviation was 13 days. The 45 seeds that were exposed to classical music took an average of 15 days to germinate. The standard deviation for these seeds was 7 days. What can be concluded at the α = 0.01 level of significance?

For this study, we should use

The null and alternative hypotheses would be: H 0 : (please enter a decimal) H 1 : (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 α

Based on this, we should the null hypothesis.

Thus, the final conclusion is that ...

The results are statistically significant at α = 0.01, so there is sufficient evidence to conclude that the mean germination time for the 53 seeds exposed to rock music that were observed is more than the mean germination time for the 45 seeds that were exposed to classical music that were observed.

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.

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 more than the population mean time for seeds exposed to classical music to germinate.

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 more than 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 0.89% chance that the mean germination time for the 53 seeds exposed to rock music is at least 5 days more than the mean germination time for the 45 seeds exposed to classical music.

There is a 0.89% 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 53 seeds exposed to rock music and 45 seeds exposed to classical music are observed then there would be a 0.89% chance that the mean germination time for the 53 seeds exposed to rock music would be at least 5 days more than the mean germination time for the 45 seeds exposed to classical music.

If the sample mean germination time for the 53 seeds exposed to rock music is the same as the sample mean germination time for the 45 seeds exposed to classical music and if another 53 seeds exposed to rock music and 45 seeds exposed to classical music are observed then there would be a 0.89% chance of concluding that the mean germination time for the 53 seeds exposed to rock music is at least 5 days more than the mean germination time for the 45 seeds exposed to classical music

Interpret the level of significance in the context of the study.

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 53 seeds exposed to rock music and 45 seeds exposed to classical music are observed then there would be a 1% chance that we would end up falsely concuding that the population mean time for seeds exposed to rock music to germinate is more than the population mean time for seeds exposed to classical music to germinate

There is a 1% 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 53 seeds exposed to rock music and 45 seeds exposed to classical music are observed, then there would be a 1% chance that we would end up falsely concuding that the sampe mean times to germinate for these 53 seeds exposed to rock music and 45 seeds exposed to classical music differ from each other.

There is a 1% chance that the seeds just don't like your taste in music, so please let someone else conduct the study.

Answer 1