An IQ test is an assessment that measures a range of cognitive abilities and providesa score that is intended to serve as a measure of an individual's intellectual poten-tial and ability. The following data set gives a score of IQ test for 40 employees inCompany SM. Given the mean of this sample is 63.5 and the standard deviation is12.33.(a)(b)(c)(d)88.9 k 77.0 76.5 75.9 75.4 75.3 74.273.5 72.9 72.4 72.1 70.3 70.1 67.9 67.066.6 66.3 65.6 64.3 63.0 61.1 61.0 60.960.8 58.9 58.7 58.3 58.2 57.6 55.4 54.854.7 54.7 54.7 54.2 53.0 49.3 46.0 14.1Determine the value of k.Select a suitable graphing approach for this data and plot the data. Indicatethe distribution of the data.Determine the median and mode.By removing the smallest value (outlier), calculate the mean, median andmode. Compare these measures with the previous values before removingthe outlier. Comment on these three measures in the presence of outlier.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 34 and the age of the winner for best actress was 50. For all best actors, the mean age is 46.9 years and the standard deviation is 6.9 years. For all best actresses, the mean age is 35.6 years and the standard deviation is 11.4 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain. Since the z score for the actor is z= and the z score for the actress is z= the had the more extreme age. (Round to two decimal places.)
There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores is approximately Normal, with mean of 21.2 and standard deviation of 5.2, SAT scores are reported on a scale from 400 to 1600. The distribution of SAT scores is approximately Normal, with mean of 1,159 and standard deviation of 205. What ACT scores make up the top 10% of all the scores? Round to the nearest whole number. 80 888 #3 $ & 3 4. 7 E Y U F G H J K DI
Use z-scores to make the following comparison between students. a. Claudia has a score of 61. Her class had a mean score of 74 and a standard deviation of 4 . Convert Claudia's score to a z- score. b. Isabella has a score of 79. Her class had a mean test score of 82 and a standard deviation of 2. Convert Isabella’s score to a z-score. c. Based on the z-scores, which student did better on their test compared to their class (“had a better relative position”)?
Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 34 and the age of the winner for best actress was 43. For all best actors, the mean age is 42.5 years and the standard deviation is 6.2 years. For all best actresses, the mean age is 31.9 years and the standard deviation is 11.2 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain. Question content area bottom Part 1 Since the z score for the actor is z=enter your response here and the z score for the actress is z=enter your response here, the ▼ actress actor had the more extreme age. (Round to two decimal places.)
Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 33 and the age of the winner for best actress was 47. For all best actors, the mean age is 44.4 years and the standard deviation is 6.5 years. For all best actresses, the mean age is 32.8 years and the standard deviation is 11.2 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain. Since the z score for the actor is z= and the z score for the actress is z = the V had the more extreme age. (Round to two decimal places.)
There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores is approximately Normal, with mean of 21.9 and standard deviation of 5.8. SAT scores are reported on a scale from 400 to 1600. The distribution of SAT scores is approximately Normal, with mean of 1,059 and standard deviation of 203. What ACT scores make up the top 10% of all the scores? Round to the nearest whole number.
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Mario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?

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