On average, a banana will last 6.9 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 greater if the banana is hung from the ceiling? The data show results of an experiment with 13 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 6.2, 6.2, 7.9, 6.4, 5.8, 6.3, 8.3, 7.1, 9.3, 8.2, 6.5, 9.4, 9.2 What can be concluded at the the αα = 0.10 level of significance level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: 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 data suggest the population mean is not significantly more than 6.9 at αα = 0.10, 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 6.9. 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 more than 6.9 at αα = 0.10, 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 more than 6.9. The data suggest the populaton mean is significantly more than 6.9 at αα = 0.10, 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 more than 6.9.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

On average, a banana will last 6.9 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 greater if the banana is hung from the ceiling? The data show results of an experiment with 13 bananas that are hung from the ceiling. Assume that that distribution of the population is normal.

6.2, 6.2, 7.9, 6.4, 5.8, 6.3, 8.3, 7.1, 9.3, 8.2, 6.5, 9.4, 9.2

What can be concluded at the the αα = 0.10 level of significance level of significance?

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

H0:H0:

H1:H1:

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 data suggest the population mean is not significantly more than 6.9 at αα = 0.10, 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 6.9.
- 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 more than 6.9 at αα = 0.10, 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 more than 6.9.
- The data suggest the populaton mean is significantly more than 6.9 at αα = 0.10, 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 more than 6.9.