A botanist wishes to estimate the mean number of seeds for a certain fruit. She samples 8 specimens and finds the average number of seeds is 50 with a standard deviation of 5. Construct a 95% confidence interval for the mean number of seeds for the species. Round your final answers to two decimal places Lower bound of CI = Upper bound of CI = // What conditions are required for the validity of the interval? Select ALL that apply.

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Author:Amos Gilat
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**Estimating the Mean Number of Seeds: Confidence Interval Calculation**

A botanist aims to estimate the mean number of seeds for a specific fruit. She collects data from 8 specimens, discovering the average number of seeds to be 50 with a standard deviation of 5. The task is to calculate a 95% confidence interval for the mean number of seeds in this species.

**Calculation Instructions:**

Round your final answers to two decimal places.

- **Lower bound of CI =** [   ]
- **Upper bound of CI =** [   ]

**Conditions for the Validity of the Interval:**

Select all that apply:

- [ ] random sample  
- [ ] σ known  
- [ ] normal population  
- [ ] μ known
Transcribed Image Text:**Estimating the Mean Number of Seeds: Confidence Interval Calculation** A botanist aims to estimate the mean number of seeds for a specific fruit. She collects data from 8 specimens, discovering the average number of seeds to be 50 with a standard deviation of 5. The task is to calculate a 95% confidence interval for the mean number of seeds in this species. **Calculation Instructions:** Round your final answers to two decimal places. - **Lower bound of CI =** [ ] - **Upper bound of CI =** [ ] **Conditions for the Validity of the Interval:** Select all that apply: - [ ] random sample - [ ] σ known - [ ] normal population - [ ] μ known
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