According to the American Petroleum Institute, the state taxes (in cents) per gallon of gasoline for all 50 states are as follows: State Taxes Per Gallon of Gasoline (Cents) Frequency 11 - 15 2 16 – 20 3 21 – 25 15 26 – 30 18 31 – 35 8 36 - 40 4 Find each of the following: Standard Deviation Coefficient of Variation

According to the American Petroleum Institute, the state taxes (in cents) per gallon of gasoline for all 50 states are as follows: State Taxes Per Gallon of Gasoline (Cents) Frequency 11 - 15 2 16 – 20 3 21 – 25 15 26 – 30 18 31 – 35 8 36 - 40 4 Find each of the following: Standard Deviation Coefficient of Variation

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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Question 1 An IQ test is an assessment that measures a range of cognitive abilities and provides a 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 in Company SM. Given the mean of this sample is 63.5 and the standard deviation is 12.33. (a) (b) (c) 88.9 k 77.0 76.5 75.9 75.4 75.3 74.2 73.5 72.9 72.4 72.1 70.3 70.1 67.9 67.0 66.6 66.3 65.6 64.3 63.0 61.1 61.0 60.9 60.8 58.9 58.7 58.3 58.2 57.6 55.4 54.8 54.7 54.7 54.7 54.2 53.0 49.3 46.0 14.1 Determine the value of k. Select a suitable graphing approach for this data and plot the data. Indicate the distribution of the data. Determine the median and mode. (d) By removing the smallest value (outlier), calculate the mean, median and mode. Compare these measures with the previous values before removing the outlier. Comment on these three measures in the presence of outlier.
QUESTION 13 The monthly expenditures on grocery shopping for all households in a town has a mean of $400 and a standard deviation of 75. The distribution of these monthly expenditures is symmetric and bell-shaped. At what percentile would the person who spends $475 per month on groceries be at in the distribution? O 5oth percentile O 75th percentile O 84th percentile O 34th percentile
PART 3 A car mat manufacture been having quality issues with its production. A series of tests were carried out to measure the resulting pH of the most common carpet produced, Type 1, as a good indicator of quality. For the following questions show all calculations and formula used. What is the mean, mode and range of the pH after dyeing? Table – Type 1 pH after addition of dye 5.105 to 5.3 5.305 to 5.5 5.5.05 to 5.7 5.705 to 5.9 5.905 to 6.1 6.105 to 6.3 6.305 to 6.5 No. of samples 1 5 7 8 7 4 1 For pH after addition of dye calculate the standard deviation, showing your calculations in full. Plot the standard deviation graph in Excel showing the distribution. From your calculations and the data Give the minimum and maximum limits the pH may be, given that the distribution is normal. Calculate the probability that a randomly selected carpet sample will have a PH of (i) 6.1 and (ii) 5.4. Further tests were carried on a…
Question 1 - Analysis of Heart Rate For fun a medical school professor once made a class of med students jump up and down for 1 minute and then measure their heart rate. Below are the values that were recorded: 136 144 99 145 135 125 115 127 124 101 100 103 130 119 121 123 116 115 126 114 125 125 116 137 152 Using StatCrunch - report back to the class the mean, median, and std deviation for the data by pasting the output into Word and attaching it to your post. Graph the data as a histogram with a fit to a Normal curve and include this in your Word document. One of the students had a rate of 127 and exclaimed, "I am in better shape than all you people!" Compute a z score to prove them right or wrong.
Question 3
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QUESTION 19 The monthly expenditures on grocery shopping for all households in a town has a mean of $300 and a standard deviation of 50. The distribution of these monthly expenditures is symmetric and bell-shaped. What percentage of households had a monthly expenditure of between $200 and $350 on groceries in this town? O 68% O 47.50% O 34.50% O 81.50%
When subjects who are treated in the SAME way differ in performance, what accounts for their measured difference? Question 7 options: Between-groups variation within-groups variation total variation treatment variation
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