On average, a banana will last 6.1 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 12 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 5.5, 6.6, 5.1, 8.4, 7.1, 5.1, 4.8, 5.1, 8.1, 5.4, 7, 7.8 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer ✓ 4 H₁: ? Select an answer ✓ c. The test statistic ?v= (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value =

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**Banana Spoilage Time Study**

**Introduction:**
On average, a banana will last 6.1 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 12 bananas that are hung from the ceiling. Assume that the distribution of the population is normal.

Sample Data (in days): 
5.5, 6.6, 5.1, 8.4, 7.1, 5.1, 4.8, 5.1, 8.1, 5.4, 7, 7.8

**Hypothesis Testing:**
We aim to conclude if the spoilage time increases for bananas when hung from the ceiling at a significance level of α = 0.05.

**Steps & Questions:**
a. For this study, which statistical test should we use?
[Select an answer dropdown]

b. Formulate the null and alternative hypotheses:
\[ H_0: \]
[Select an answer dropdown]
\[ \]
[Write your hypothesis]

\[ H_1: \]
[Select an answer dropdown]
\[ \]
[Write your hypothesis]

c. Calculate the test statistic.
[Select an answer dropdown]
\[ \]
(Please show your answer to 3 decimal places.)

d. Determine the p-value.
\[ \text{p-value} = \]
(Please show your answer to 4 decimal places.)

---

By following these steps and using the provided data, we can determine if hanging bananas from the ceiling significantly affects their time to spoil.
Transcribed Image Text:--- **Banana Spoilage Time Study** **Introduction:** On average, a banana will last 6.1 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 12 bananas that are hung from the ceiling. Assume that the distribution of the population is normal. Sample Data (in days): 5.5, 6.6, 5.1, 8.4, 7.1, 5.1, 4.8, 5.1, 8.1, 5.4, 7, 7.8 **Hypothesis Testing:** We aim to conclude if the spoilage time increases for bananas when hung from the ceiling at a significance level of α = 0.05. **Steps & Questions:** a. For this study, which statistical test should we use? [Select an answer dropdown] b. Formulate the null and alternative hypotheses: \[ H_0: \] [Select an answer dropdown] \[ \] [Write your hypothesis] \[ H_1: \] [Select an answer dropdown] \[ \] [Write your hypothesis] c. Calculate the test statistic. [Select an answer dropdown] \[ \] (Please show your answer to 3 decimal places.) d. Determine the p-value. \[ \text{p-value} = \] (Please show your answer to 4 decimal places.) --- By following these steps and using the provided data, we can determine if hanging bananas from the ceiling significantly affects their time to spoil.
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