In a random sample of 37 criminals convicted of a certain crime, it was determined that the mean length of sentencing was 61 months, with a standard deviation of 8 months. Construct and interpret a 95% confidence interval for the mean length of sentencing for this crime. Click here to view the standard normal distribution table (page 1) Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values *** Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to one decimal place as needed.) OA. There is a 95% probability that the mean length of sentencing for the crime is between OB. 95% of the sentences for the crime are between and months OC. We can be 95% confident that the mean length of sentencing for the crime is between and and months. months

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### Confidence Interval for Mean Length of Sentencing

In a random sample of 37 criminals convicted of a certain crime, it was determined that the mean length of sentencing was 61 months, with a standard deviation of 8 months. Construct and interpret a 95% confidence interval for the mean length of sentencing for this crime.

Resources:
- [Click here to view the standard normal distribution table (page 1).](#)
- [Click here to view the standard normal distribution table (page 2).](#)
- [Click here to view the table of critical t-values.](#)

---

### Exercise: Complete the Confidence Interval Statement

Select the correct choice below and fill in the answer boxes to complete your choice. *(Use ascending order. Round to one decimal place as needed.)*

A. There is a 95% probability that the mean length of sentencing for the crime is between ____ and ____ months.

B. 95% of the sentences for the crime are between ____ and ____ months.

C. We can be 95% confident that the mean length of sentencing for the crime is between ____ and ____ months.

Please use the links provided to access the necessary distribution tables to complete this exercise.
Transcribed Image Text:### Confidence Interval for Mean Length of Sentencing In a random sample of 37 criminals convicted of a certain crime, it was determined that the mean length of sentencing was 61 months, with a standard deviation of 8 months. Construct and interpret a 95% confidence interval for the mean length of sentencing for this crime. Resources: - [Click here to view the standard normal distribution table (page 1).](#) - [Click here to view the standard normal distribution table (page 2).](#) - [Click here to view the table of critical t-values.](#) --- ### Exercise: Complete the Confidence Interval Statement Select the correct choice below and fill in the answer boxes to complete your choice. *(Use ascending order. Round to one decimal place as needed.)* A. There is a 95% probability that the mean length of sentencing for the crime is between ____ and ____ months. B. 95% of the sentences for the crime are between ____ and ____ months. C. We can be 95% confident that the mean length of sentencing for the crime is between ____ and ____ months. Please use the links provided to access the necessary distribution tables to complete this exercise.
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