Suppose that a student collects sample data from their local fire department asking them about their experience and job satisfaction. They include a random sample of 59 full-time firefighters in their survey. Variable A: Number of years the firefighter has been working Variable B: Responses "satisfied" or "not satisfied" with their job. 1. Based on the sample data, the student finds the sample mean of the experience to be 9.3 years with a standard deviation of 3.5 years. What type of confidence interval should they construct to estimate the mean number of years of experience a firefighter has in the county? Explain. 2. Using the data in question 1, the student calculates a 90% confidence interval to be (8.538, 10.06). Interpret this confidence interval in a sentence v the appropriate context and terminology. 3. A city outside of the county is trying to recruit students into its academy. They post that their firefighter has on average 10 years of experience. Does the interval in question 2 provide evidence that the mean years of experience are lower for the firefighter in the county the students sampled from? Explain. 4. The student found that in the sample of 59 firefighters 29 are satisfied with their job. Calculate and interpret a 90% confidence interval (show work, inputs, or screenshots).