On average, a banana will last 6.4 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil different if the banana is hung from the ceiling? The data show results of an experiment with 12 bananas that are hung from the ceiling. Assume that that distribution of the population is normal.

4.8, 7.2, 7.2, 6.9, 4.3, 4.1, 6.2, 5, 4.4, 5.1, 6.6, 7.2

What can be concluded at the the = 0.01 level of significance level of significance?

1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
2. The null and alternative hypotheses would be:

H0:H0: ? p Select an answer > = <

H1:H1: ? p Select an answer < > =

1. The test statistic ? t z = (please show your answer to 3 decimal places.)
2. The p-value = (Please show your answer to 4 decimal places.)
3. The p-value is ? >
4. Based on this, we should Select an answer accept fail to reject reject the null hypothesis.
5. Thus, the final conclusion is that ...
   • The data suggest that the population mean time that it takes for bananas to spoil if they are hung from the ceiling is not significantly different from 6.4 at = 0.01, so there is statistically insignificant evidence to conclude that the population mean time that it takes for bananas to spoil if they are hung from the ceiling is different from 6.4.
   • The data suggest the population mean is not significantly different from 6.4 at = 0.01, so there is statistically insignificant evidence to conclude that the population mean time that it takes for bananas to spoil if they are hung from the ceiling is equal to 6.4.
   • The data suggest the populaton mean is significantly different from 6.4 at = 0.01, so there is statistically significant evidence to conclude that the population mean time that it takes for bananas to spoil if they are hung from the ceiling is different from 6.4.