Customers to your store purchase a mean of 15.18 items per trip, with a standard deviation of 5.05 items. You wish to know the probability that a sample of 12 customers will have a mean number of items purchased of 17.22 items or more. Answer each intermediate question below. Put your answers in the green boxes. Use formulas. A. B. C. D. Find the appropriate standard error to use for this problem Find the z-score associated with the observation of 17.22 items Find the probability that your 12-sample mean will be LESS than 17.22 items Find the probability that your 12-sample mean will be MORE than 17.22 items 17.22 items an 17.22 items Your plant manufactures circuit boards. You are worried that your production process is unusually faulty today. circuit boards are faulty. You willpurchased sample 15anboards. Findwarranty the Over the pastNormally, year, 38%8% of of customers in an electronics store extended probabilities described below by placing the appropriate formulas in the green boxes. You wish to know the probability in a given day, consisting of a a sample of 50 customers, 33% or fewer will purchase an extended warranty. Answer each intermediate question below. Put your answers in the green boxes. Use formulas. A. Find the appropriate standard error to use for this problem B. Find the z-score associated with the observation of 0.33 C. Find the probability that your 50-sample proportion will be less than 0.33 Employees' sales performance, in dollars per day, is distributed normally with mean $12,000 and standard $3,000. Find the the probabilities described below placing the appropriate You wish deviation to know something about mean number of times thatbycustomers visit your storeformulas on in the green boxes. average. The population standard deviation is unknown. Your sample of 90 customers has a number of trips with mean 71 and standard deviation 20. You wish to construct a 95% confidence interval for your result. Answer each intermediate question below. Put your answers in the green boxes. Use formulas. A. Does this question require a Z value or a T value? (Just answer Z or T) B. Find the critical value using a reference table or Excel C. Find the relevant standard error D. Find the margin of error E. Find the 95% confidence interval (put the lower end in one box and the upper end in the oth and the upper end in the other) A. Does this question require a Z value or a T value? (Just answer Z or T) B. Find the critical value using a reference table or Excel C. Find the relevant standard error D. Find the margin of error E. Find the 99% confidence interval (put the lower end in one box and the upper end in the oth and the upper end in the other) A. Required sample size A. Required sample size B. Find the critical value for 90% confidence using a reference table or Excel C. Find the relevant standard error D. Find the margin of error