1. Minitab was used to construct the five number summary and boxplot below for a sample of checkout times (measured in seconds) taken at Corner Convenience Store last month. Use the Minitab output provided to answer the questions that follow on the page below. (32 points) Data Display Time (in seconds) 10aa10aa15aa18aa22aa25aa28aa29aa29aa30aa30aa30aa30 30aa31aa32aa32aa32aa35aa35aa35aa35aa35aa44aa45aa45 47aa48aa49aa51aa55aa55aa58aa59aa60aa60aa63aa63aa63 65aa66aa68aa69aa75aa75aa78aa79aa81aa82aa83aa83aa83 88aa89aa89aa90aa90aa90aa90aa90aa91aa92aa93aa94aa98 100aa115aa120aa120aa122aa123aa125aa145aa150aa175 Five Number Summary: Time (in seconds) Total Variableaaaaaaaa Count aMinimum aQ1aaaaMedian aaQ3aaaMaximum Time (in seconds)a 75aaa10.00aa a35.00aaa63.00aaa90.00aa175.00 Click here for a Boxplot of Time (in seconds) Located in Attached Assignment section. 1. (Cont’d.) a. True or False? The value of P20 could be 40 seconds. ______ (2 points) b. True or False? The value of P75 could be 90 seconds. ______ (2 points) c. True or False? The data is somewhat skewed left. ______ (3 points) d. True or False? The data set has an outlier. ______ (3 points) e. What check out time corresponds to the point labeled C? (3 points) f. The median is equal to the _________ percentile. (2 points) g. Compute the Interquartile Range (IQR). (3 points) h. Give the values of the fences. (6 points) Lower Fence = ______ Upper Fence = ______ i. Find the value of P65 and interpret its practical meaning. (5 points) j. Approximate the percentile rank for a customer who takes 45 seconds to check out. (3 points) 2. A random sample of 50 employees at a company was obtained. The one-way distance from home to work was recorded for ach employee in the sample. Suppose the mean of the sample was 15.2 miles and the standard deviation was 4.2 miles. (26 points) a.) Compute the standard score (z – score) for a distance of 25 miles. Round your answer to the nearest hundredth and interpret the meaning of your answer as it pertains to this problem. (6 points) b.) What is the one-way distance from home to work for an employee in the sample who had a standard score (z – score) of -2.00? (5 points) c.) At least what percent of the distances in this sample should we expect to find within 1.7 standard deviations of the mean? Give your answer to the nearest percent. (5 points) d.) At most what percent of the distances in this sample should we expect to find less than 2.6 miles and more than 27.8 miles? Give your answer to the nearest percent. (5 points) e.) At least what percent of the distances in this sample should we expect to find between 9.9 and 20.5 miles? Give your answer to the nearest percent. (5 points) 3. In a random sample of 250 toner cartridges, the mean number of pages a toner cartridge can print is 4302 and the standard deviation is 340 pages. Assume the distribution of data is normally distributed. (22 points) a.) Between what two values can you expect to find (the middle) 99.7% of the sample data? (5 points) b.) What percent of the sample data should you expect to be more than 1 standard deviation away from the mean? (5 points) c.) How many of the toner cartridges in the sample should you expect to print between 3962 pages and 4642 pages? (6 points) d.) The company that makes the toner cartridges guarantees to replace any cartridge that prints fewer than 3622 pages. Approximately how many of the cartridges in the sample would you expect to be replaced under the guarantee policy? (6 points),Is there any progress? Last time something showed up in here after a little bit.,Is it going to be soon? The deadline was for right now.,I submitted this at 11am and needed it by 5, should I just resubmit it or what is going on?