a.Suppose that the mean retail price per litre of unleaded petrol in the greater region ofSydney is $1.96 with a standard deviation of $0.15. Assume that the retail price per litreis normally distributed. Use the empirical rule to answer the following questions:i.What percentage of unleaded petrol prices in the Sydney greater region fallsbetween $1.66 and $2.26 per litre?ii.Between what two values does the middle 99.7% of unleaded petrol prices inthe Sydney greater region fall?

Answered: Image /qna-images/answer/b2cea650-0574-46f4-832e-6646dfbb7dc8.jpg

Answered: a. Suppose that the mean retail price…

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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A team of ten (10) construction workers who are working on a project are classified according to the skill levels, Classes A to D. The table below shows the number of workers in each of the four (4) classes and their respective hourly pay-rate. Pay-rate (Rands/hour) Number of workers Class A 80 Class B 60 Class C 55 Class D 50 4. Calculate the mean hourly pay-rate for the 10 workers. A. R24.50/hour B. R57/hour C. R57.50/hour D. R61.75/hour
1. According to one study, the average hours of sleep on a weeknight for men was 6.9 hours with a standard deviation of 1.5 hours. a. Find the proportion of men who sleep for more than 8 hours per night. b. Find the proportion of men who sleep for less than 6 hours per night. c. Find the proportion of men who sleep between 6-8 hours per night. d. Find the number of hours that represents the 90th percentile.
According to a government study among adults in the 25 to 34-year age group, the mean amount spent per year on reading and entertainment is $1,994. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $350. a. What percent of the adults spend more than $2,500 per year on reading and entertainment? b. What percent spend between $2,500 and $2,800 per year on reading and entertainment?
What is the level of measurement of the variable “age”? A. IQR B. Range C. Median D. Ordinal E. Mode F. Nominal G. Mean H. Interval/Ratio I. IQV J. Standard deviation
Assume that the test scores for biostatistics midterm examination are normally distributed with a mean of 74 and a standard deviation of 10. i. Suppose that you receive a score of 88. What percent of the class received scores higher than yours? ii. Suppose that the teacher wants to limit the number of A grades in the class to no more than 20%. What would be the lowest score for an A?
1- Assume that the mean hourly cost to operate a commercial airplane follows a normal distribution with a mean of $2100 per hour and a standard deviation of $250. Determine the lowest 6% of the operating cost.
3. The fill volume of an automated filling machine used for filling cans of carbonated beverage isnormally distributed. Suppose that the mean of the filling operation can be adjusted easily, but thestandard deviation remains at 0.4 fluid ounce.a. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces?b. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces if thestandard deviation can be reduced to 0.09 fluid ounce?
Q. 2. Suppose Country B's government now reports that its population mean disposable household income is $1,000 per month, with a standard deviation of $150. Country A's population mean is $1,100, with a standard deviation of $310. a. b. Which country has more variation in income? Explain using popular phrases, such as "gap between rich and poor." Each country defines the poverty level to be $755. If you assume that income has a normal distribution, find the probability that a household's income is below the poverty level in i. Country A ii. Country B Does it seem reasonable to assume a normal distribution? In general, is income symmetric or skewed?
Researchers collected information on the body parts of a new species of frog. The thumb length for the female frog has a mean of 8.28 mm and a standard deviation of 0.78 mm. Let x denote thumb length for a female specimen. a. Find the standardized version of x. b. Determine and interpret the z-scores for thumb lengths of 10.3 mm and 7.1 mm. Round your answers to two decimal places. a. Find the standardized version of x. z=enter your response here
12. Stem and leaf Plot: (Sample )Variable: Gas $ Key: 12 = 1:2 1 : 2 2 : 3 : 4 : 5 : 55 6 : 7 : 88 8 : 9 12a. Use the above Stem and leaf plot and calculate the range. 12b. Use the above Stem and leaf plot and calculate the Quadratic Mean. 12c. Calculate the upper fence. 12d. Estimate the standard deviation.
The following data represents the number of children in each household on Wisteria Lane. 1, 3, 4, 0, 0, 1, 2, 3, 2, 2 Match the correct value with the correct measure of spread. 1.04 1. Range 4 2. Interquartile Range 1.32 3. Mean Absolute Deviation 4. Standard Deviation
Q) The RATES of a SWEET BOX follows a normal distribution with a mean of $2.20 and a standard deviation of $0.20. Find the RATE for which 10.23% of sweet boxes are exceeded. Round your answer to nearest cent (hundredth) if necessary.

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