ED V I] E tarletonlinstructurecom 0 [1] + 33 ., Exam'l u Course Hero Examlpdf Instructions: please complete each problem below. You may submit your completed exam in Canvas using one of two le formats: either (1) write your solutions on paper and scan to a PDF, or (2) write your solutions in a Word/Openoice document. On either method, please show (or describe) as much work as possible. Report your nal answers rounded to 2 decimal places (with the exception of pvalues)l L A sample of N = 12 scores has a mean of f = 10. One score of X = 15 is removed from the sample. What is the new value for the sample mean? 2' An expert reviews a sample of 8 scientic articles and records the following numbers of errors in each article: 7, 5, 11, 5, 6, 4, 8, 10. Compute the mean and median for this data 3' A social psychologist records the age (in years) that a sample of seven participants rst experienced peer pressure The recorded ages are 18, 22, 14, 16, 10, 14, 18' Compute the variance and standard deviation for this data. 41 For a set of scores with mean 76 and standard deviation 8, nd the Z-score that corresponds to each of the following X values: 96, 80, 70, 521 5' For a set of scores with u = 45 and 17 = 12, nd the X -value that corresponds to each of the following Z-scores: 1.50, -0,50, 2.00, >1/3 6' A set of exams are reported as X values and Z-scorest On this exam a score of X = 84 corresponds to a Z 0.5 and X = 66 corresponds to a Z = 110. Use this information to nd the mean and standard deviation for the complete set of exams. 71 A set of exam scores has a mean of 55 and a standard deviation of 6. The instructor would like to transform the scores into a standardized distribution with a new mean of 100 and new stande deviation of 10. Find the transformed value for each of the following scores from the original population: 55, 67, 46, 34. 8' A normal distribution has a mean of u = 110 with :7 = 12. What proportion of scores in this distribution are: (a) above 1157 (b) below 118\".l (c) between 91 and 115? 9' The average employee in the US spends u = 30 minutes commuting to work each day Assume that the distribution of commute times is normal with a standard deviation of o = 16 minutes. (a) What proportion of employees spend less than 12 minutes a day commuting? (b) What proportion of employees spend more than 45 minutes commuting each day? 101 For a normal population with a = 60 and a = 12, what is the probability of obtaining a sample mean: (a) greater than 62 for a sample of n : 36 scores? (b) yeater than 62 for a sample of n = 9 scores