4 Q2.Police recorded the average speed of cars driving on a busy street by a school. For a sample of 36speeds, it was determined that the average amount over the speed limit for the 36 speeds was 10.7 mphwith a standard deviation of 9 mph The 95% confidence interval estimate for this13.75 mph.ple is 7.65 mph toa) What is the margin of error for this problem?b) What size sample is needed to reduce the margin of error to no more than ± 22Q3 and its data:The data set in the accompanying table contains last month's credit card purchases of 100 customersrandomly chosen from a segment of a major credit card issuer The marketing department is considering aspecial offer for customers who spend more than $1000 per month on their card. From these dataconstruct a 95% confidence interval for the proportion of customers in this segment who will qualify.Click the icon to view the data table.www..What is the confidence interval? Select the correct choice below and, if necessary, fill in the answer boxeswithinyourchoiceO A. The 95% confidence interval is ( %.(Round to one decimal place as needed Use ascending order)%).O B. The conditions of a confidence interval are not satisfied Describe how the width of a 95% confidence interval for a mean changes as the standard deviation (s) of asample increases, assuming sample size remains the same.......Choose the correct answer below.O A. As the variability of a sample increases, the width of a 95% confidence interval decreases,assuming that sample size remains the same.O B. As the variability of a sample increases, the width of a 95% confidence interval increases,assuming that sample size remains the same.OC. As the variability of a sample increases, the width of a 95% confidence interval remains the same,assuming that sample size remains the same.

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