Hi, I'm hoping all is well. I'm late in my Statistics I assignments... way behind and also I'm scared and terrified of Mathematics. I have attached pdfs with questions highlighted and circled. I have 7 more attachments, what is your recommendation-to keep sending them 2 at a time? Thank for your help and have a great day! Joseph. a. Compute the mean, variance, and standard devia-tion for each group.b. Is one group of scores noticeably more variable(more diverse) than the other?22. Wegesin and Stern (2004) found greater consistency(less variability) in the memory performance scoresfor younger women than for older women. Thefollowing data represent memory scores obtainedfor two women, one older and one younger, over aseries of memory trials.a. Calculate the variance of the scores for eachwoman.b. Are the scores for the younger woman moreconsistent (less variable)?20.deviation or oa. Would a score of X70 be consideredvalue (out in the tail) in this sample?b. If the standard deviation were o = 5, would ascore of X = 70 be considered an extreme value?=24. On an exam with a mean of M 78, you obtain ascore of X = 84.a. Would you prefer a standard deviation of s=2 orS =10? (Hint: Sketch each distribution and findthe location of your score.)b. If your score were X = 72, would you prefer s = 210? Explain your answer.or s =- and standard deviation?10.10. Why is the formula for sample variance different fromthe formula for population variance?11. For the following sample of n = 6 scores: 0, 11, 5,10, 5,5a. Sketch a histogram showing the sampledistribution.yourb. Locate the value of the sample mean insketch, and make an estimate of the standarddeviation (as done in Example 4.6).c. Compute SS, variance, and standard deviation forthe sample. (How well does your estimate comparewith the actual value of s?)=12. Calculate SS, variance, and standard deviation for thefollowing sample of n 8 scores: 0, 4, 1, 3, 2. 1, 1, 0.13. Calculate SS, variance, and standard deviation for thefollowing sample of n = 5 scores: 2, 9, 5, 5, 9.14. A population has a mean of μ = 50 and a standarddeviation of o= 10.a. If 3 points were added to every score in the рори.lation, what would be the new values for the meanand standard deviation?b. If every score in the population were multiplied by2, then what would be the new values for the meanand standard deviation?15. a. After 6 points have been added to every score ina sample, the mean is found to be M = 70 and thestandard deviation is s 13. What were the valuesfor the mean and standard deviation for the originalsample?=b. After every score in a sample is multiplied by 3,the mean is found to be M = 48 and the standarddeviation is s = 18. What were the values forthe mean and standard deviation for the originalsample?16. Compute the mean and standard deviation for thefollowing sample of n = 4 scores: 82, 88, 82, and 86.Hint: To simplify the arithmetic, you can subtracted80 points from each score to obtain a new sample con-sisting of 2, 8, 2, and 6. Then, compute the mean andstandard deviation for the new sample. Use the valuesyou obtain to find the mean and standard deviation forthe original sample.1, U, and 2. THUdeviation for the new sample.b. Using the values you obtained in part a, what arethe values for the mean and standard deviation forthe original sample?18. For the following population of N = 6 scores:2, 9, 6, 8, 9, 8a. Calculate the range and the standard deviation.(Use either definition for the range.)b. Add 2 points to each score and compute the rangeand standard deviation again. Describe how addinga constant to each score influences measures ofvariability.19. The range is completely determined by the twoextreme scores in a distribution. The standard devia-tion, on the other hand, uses every score.a. Compute the range (choose either definition) andthe standard deviation for the following sample of5 scores. Note that there are three scores clus-tered around the mean in the center of the distribu-tion, and two extreme values.nScores: 0,6, 7, 8, 14.h. Now we will break up the cluster in the centerof the distribution by moving two of the centralscores out to the extremes. Once again computethe range and the standard deviation.New scores: 0, 0, 7, 14, 14.c. According to the range, how do the two distribu-tions compare in variability? How do they compareaccording to the standard deviation?20. For the data in the following sample:10, 6, 8, 6, 5a. Find the mean and the standard deviation.b. Now change the score of X 10 to X = 0, andfind the new mean and standard deviation.=c. Describe how one extreme score influences themean and standard deviation.21. Within a population, the differences that exist fromone person to another are often called diversity.

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and standard deviation? 10. Why is the formula for sample variance different from the formula for population variance? 11. For the following sample of n = 6 scores: 0, 11, 5, 10, 5, 5 a. Sketch a histogram showing the sample distribution. b. Locate the value of the sample mean in your sketch, and make an estimate of the standard deviation (as done in Example 4.6). c. Compute SS, variance, and standard deviation for the sample. (How well does your estimate compare with the actual value of s?) 12. Calculate SS, variance, and standard deviation for the following sample of n = 8 scores: 0, 4, 1, 3, 2. 1, 1, 0. 13. Calculate SS, variance, and standard deviation for the following sample of n = 5 scores: 2, 9, 5, 5, 9. 14. A population has a mean of u = 50 and a standard deviation of o = 10. a. If 3 points were added to every score in the popu lation, what would be the new values for the mean and standard deviation? b. If every score in the population were multiplied by T, U, and 2. deviation for the new sample. b. Using the values you obtained in part a, what are the values for the mean and standard deviation for the original sample? 18. For the following population of N = 6 scores: 2, 9, 6, 8, 9, 8 a. Calculate the range and the standard deviation. (Use either definition for the range.) b. Add 2 points to each score and compute the range and standard deviation again. Describe how adding a constant to each score influences measures of variability. 19. The range is completely determined by the two extreme scores in a distribution. The standard devia- tion, on the other hand, uses every score. a. Compute the range (choose either definition) and the standard deviation for the following sample of n = 5 scores. Note that there are three scores clus- tered around the mean in the center of the distribu tion, and two extreme values. Scores: 0, 6, 7, 8, 14.

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA