Problem 1: A random sample of 81 students at a local university showed that they work an average of 100 hours per month. The population standard deviation is known to be 27 hours. Answer the 4 questions below. 1) What is the point estimate for the mean hours per month all students at the university work 2) 95% confidence interval is 3) 99% confidence interval is 4) Type here which interval is wider. Why?

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**Problem 1:**
A random sample of 81 students at a local university showed that they work an average of 100 hours per month. The population standard deviation is known to be 27 hours. Answer the 4 questions below.

1) **What is the point estimate for the mean hours per month all students at the university work**

   - Point Estimate: 100

2) **95% confidence interval is**

   - ( __________ , __________ )

3) **99% confidence interval is**

   - ( __________ , __________ )

4) **Type here which interval is wider. Why?**

   - (Text box for response)

**Explanation:**
- The image features a spreadsheet with calculations related to confidence intervals for the mean hours students work per month. The problem provides data on a sample mean, the population standard deviation, and the sample size. Questions prompt students to calculate confidence intervals at the 95% and 99% confidence levels and discuss which interval is wider, fostering understanding of statistical estimation and interval width.
Transcribed Image Text:**Problem 1:** A random sample of 81 students at a local university showed that they work an average of 100 hours per month. The population standard deviation is known to be 27 hours. Answer the 4 questions below. 1) **What is the point estimate for the mean hours per month all students at the university work** - Point Estimate: 100 2) **95% confidence interval is** - ( __________ , __________ ) 3) **99% confidence interval is** - ( __________ , __________ ) 4) **Type here which interval is wider. Why?** - (Text box for response) **Explanation:** - The image features a spreadsheet with calculations related to confidence intervals for the mean hours students work per month. The problem provides data on a sample mean, the population standard deviation, and the sample size. Questions prompt students to calculate confidence intervals at the 95% and 99% confidence levels and discuss which interval is wider, fostering understanding of statistical estimation and interval width.
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