1. How do we know if a population parameter from population 1 is significantly higher, significantly lower, or not significantly different than population 2? Look at the following two-population confidence interval example calculated from data from a business. The data came from random samples and passed all of the assumptions. Use this printout to answer questions #2-6. 95% confidence level Population 1: population mean average salary for part-time employees in dollars per hour. Population 2: population mean average salary for full-time employees in dollars per hour. Sample Difference: - $2.36 (Sample mean average salary for part-time employees was $2.36 less than for full-time employees.) Margin of Error: $0.82 Confidence Interval Lower Limit: - $3.18 Confidence Interval Upper Limit: - $1.54 Confidence Interval: ( -$3.18 , -$1.54 ) 2. How did the computer use the sample difference ( - $2.36 ) and the margin of error ( $0.82 ) to calculate the upper and lower limits of the confidence interval? 3. A statistics student was asked if the population mean average salary for part-time employees was significantly higher, significantly lower or not significantly different than for full time employees. The statistics student said, "I am 95% confident that the population mean average salary for population 1 (part-time employees) is significantly LOWER than the population mean average salary for population 2 (full-time employees). This is absolutely correct! How did the statistics student know this? 4. A statistics student says that the the population mean average salary for all part-time employees is exactly $2.36 less than the population mean average salary for full-time employees. This is totally wrong. Why do you think statistics students make this mistake? 5. A statistics student says that the population mean average salary for part-time employees is exactly $1.54 per hour and the population mean average salary for full-time employees is $3.18 per hour. This is totally wrong. Why do you think statistics students make this mistake? 6. A statistics student was asked much lower could the population mean average salary for all part-time employees be than the population mean average salary for all full-time employees? The statistics student said, "I do not know exactly how much lower since I only have sample data. I can say that I am 95% confident that the population mean average salary for part-time employees at this company is between $1.54 and $3.18 lower than for full-time employees". Explain why this is the correct interpretation of the confidence interval