On average, a banana will last 6.3 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 less if the banana is hung from the ceiling? The data show results of an experiment with 14 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. Use the p-value approach. 7.2, 4.6, 4.7, 6.7, 4, 4.3, 6.6, 7.1, 7, 3.7, 4.8, 4.9, 6, 5.9 What can be concluded at the the α = 0.01 level of significance level of significance? OB or a. For this study, we should use t-test for a population mean Or b. The null and alternative hypotheses would be: Ho: V H₁: ✓✓ c. The test statistic t✔✔✓ = d. The p-value = e. The p-value is > ✓ ✓ a or f. Based on this, we should fail to reject ✓ (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 data suggest that the population mean time that it takes for bananas to spoil if they are hung from the ceiling is not significantly less than 6.3 at a = 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 less than 6.3. The data suggest the populaton mean is significantly less than 6.3 at a = 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 less than 6.3. The data suggest the population mean is not significantly less than 6.3 at a = 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 6.3.

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On average, a banana will last 6.3 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 less if the banana is hung from the ceiling? The data show results
of an experiment with 14 bananas that are hung from the ceiling. Assume that that distribution of the
population is normal. Use the p-value approach.
7.2, 4.6, 4.7, 6.7, 4, 4.3, 6.6, 7.1, 7, 3.7, 4.8, 4.9, 6, 5.9
What can be concluded at the the α = 0.01 level of significance level of significance?
OB
or
a. For this study, we should use t-test for a population mean
Or
b. The null and alternative hypotheses would be:
Ho: V
H₁: ✓✓
c. The test statistic t✔✔✓ =
d. The p-value =
e. The p-value is > ✓ ✓ a
or
f. Based on this, we should fail to reject
✓
(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 data suggest that the population mean time that it takes for bananas to spoil if they are
hung from the ceiling is not significantly less than 6.3 at a = 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 less than 6.3.
The data suggest the populaton mean is significantly less than 6.3 at a = 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 less than 6.3.
The data suggest the population mean is not significantly less than 6.3 at a = 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 6.3.
Transcribed Image Text:On average, a banana will last 6.3 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 less if the banana is hung from the ceiling? The data show results of an experiment with 14 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. Use the p-value approach. 7.2, 4.6, 4.7, 6.7, 4, 4.3, 6.6, 7.1, 7, 3.7, 4.8, 4.9, 6, 5.9 What can be concluded at the the α = 0.01 level of significance level of significance? OB or a. For this study, we should use t-test for a population mean Or b. The null and alternative hypotheses would be: Ho: V H₁: ✓✓ c. The test statistic t✔✔✓ = d. The p-value = e. The p-value is > ✓ ✓ a or f. Based on this, we should fail to reject ✓ (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 data suggest that the population mean time that it takes for bananas to spoil if they are hung from the ceiling is not significantly less than 6.3 at a = 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 less than 6.3. The data suggest the populaton mean is significantly less than 6.3 at a = 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 less than 6.3. The data suggest the population mean is not significantly less than 6.3 at a = 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 6.3.
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