You are planning a survey of students at a large university to determine what proportion favors an increase in student fees to support an expansion of the student newspaper. Using records provided by the registrar, you can select a random sample of students. You will ask each student in the sample whether he or she is in favor of the proposed increase. Your budget will allow a sample of 100 students. Describe how the larger sample size will affect the results of the survey. The new margins of error with the larger sample size are less than half their former size. The new margins of error with the larger sample size are more than twice their former size. The new margins of error with the larger sample size are the same as their former size.

72. Use the list of data to make a box plot. What is the IQR? \[ 5,8,1,3,5,11,6,8,4 \]

2. Use the list of data to make a box plot what is the tgis? \[ 5,8,1,3,5,11,5,8,4 \]

I In your own words, what is mean absolute deviation and how do we calculate it?

Out of 500 households sampled, 190 had kids under 18 living at home. Assuming the conditions are met, use the theoretical formula to construct a(n) \( 90 \% \) confidence interval for the true population proportion of households with kids under 18 living at home. a. Give your theoretical confidence interval in decimal form. Use 4 decimal places in your calculations and round your answers to four decimal places. ( \( 0.334,0.415 \) ) b. Interpret the confidence interval in context: We are \( 90 \% \) confident that the proportion of households with kids Show your formula and steps on paper or in the add work box (don't skip the between \( 34.43 \% \) and \( 41.57 \% \). interpretation above):

Based on past experience, a bank believes that \( 9 \% \) of the people who receive loans will not make their payments on time. The bank has recently approved 200 loans. a. Write about and check each of the conditions needed in the context of this situation to use the sampling distribution for the proportion of people who will not make their payments on time (Central Limit Theorem). Conditions: distritution for the proportion of people who make their payment on time based on the cental limit theorem. we can proceeds to analyze the proportion of the sameple that does not make payment on time using normal approximation methods. What are the mean and standard deviation of this model? b. Mean = 18 c. Standard deviation (accurate to 4 decimal places) \( =4.047 \) d. What is the probability that \( 10 \% \) or more of these clients will not make timely payments to 4 decimal places? 0.312 .