CompetencyDemonstrate the use of the normal distribution, the standard normal distribution, and the central limit theorem for calculating areas under the normal curve and exploring these concepts in real life applications.InstructionsFrank has only had a brief introduction to statistics when he was in high school 12 years ago, and that did not cover inferential statistics. He is not confident in his ability to answer some of the problems posed in the course. As Frank's tutor, you need to provide Frank with guidance and instruction on a worksheet he has partially filled out. Your job is to help him understand and comprehend the material. You should not simply be providing him with an answer as this will not help when it comes time to take the test. Instead, you will be providing a step-by-step breakdown of the problems including an explanation on why you did each step and using proper terminology.What to SubmitTo complete this assignment, you must first download the word document, and then complete it by including the following items on the worksheet: Incorrect Answers Correct any wrong answers. You must also explain the error performed in the problem in your own words. Partially Finished Work Complete any partially completed work. Make sure to provide step-by-step instructions including explanations. Blank Questions Show how to complete any blank questions by providing step-by-step instructions including explanations. Your step-by-step breakdown of the problems, including explanations, should be present within the word document provided. You must also include an Excel workbookwhich shows all your calculations performed.

Consider the following definition. Definition. An integer n is sane if 3 | (n2 + 2n). Give a counterexample to the following: All odd integers are sane.n =

Respond to the following in a minimum of 175 -400 words:The most frequently used measures of central tendency for quantitative data are the mean and the median. The following table shows civil service examination scores from 24 applicants to law enforcement jobs:83 74 85 7982 67 78 7018 93 64 2793 98 82 7868 82 83 9996 62 93 58Using Excel, find the mean, standard deviation, and 5-number summary of this sample.Construct and paste a box plot depicting the 5-number summary.Does the dataset have outliers? If so, which one(s)?Would you prefer to use the mean or the medianas this dataset’s measure of central tendency? Why?