19) In order to conduct inferential statistics the sample must be representative of the population. For lab purposes, we will assume that our sample of students is representative of the student body at BCTC. Is this the case? Explain. 20) Look at the 50% confidence interval for the population proportion of students who were born in Kentucky. a. Identify the interval. b. Explain why a 50% interval would not be of much use in estimating the population proportion. 21) Give the following confidence intervals for the population proportion of students who were born in Kentucky. a. 90% confidence interval b. 95% confidence interval c. 99% confidence interval d. What happens to the interval as the confidence level increases? Explain. 22) Look at the 95% confidence intervals for the population proportion of males/females who choose math as their favorite subject. a. Identify the interval for males. b. Interpret the interval for males. c. Identify the interval for females. d. Interpret the interval for females. 23) Look at the 95% confidence interval for the population mean of the variable Temp. a. Identify the interval. b. Interpret the interval. 24) Look at the 95% confidence intervals for the population means of the variable Sleep grouped by Gender. a. Identify the interval for males. b. Interpret the interval for males. c. Identify the interval for females. d. Interpret the interval for females