question 5

Our friend the waffleman wishes to estimate the average revenue from ticket sales at Broadway for the past year. Using a random sample of 120 plays from the past year, she computed a 87% confidence interval of [112, 128]. She used a histogram to verify that her data was normally distributed. Which of the following is a correct statement? Select one or more: O a. With the information given in this problem, we cannot calculate the margin of error. b. The average revenue in the sample of 120 plays was 120.0 Oc. We are 87% confident that the true average revenue from ticket sales at Broadway from the past year is in the interval [112, 128]. Od. We are 87% confident that the average revenue from ticket sales of the sample will be between 112 and 128. De. If our friend the waffleman were to repeatedly take random samples of 120 plays and construct 87% confidence intervals with each sample, approximately 95% of the confidence intervals would contain the true average revenue from ticket sales at Broadway from the past year. Of. If our friend the waffleman selects a new sample of 140 plays and creates a new 87% confidence interval, the new interval would be wider than the interval calculated on 120 plays