2. Suppose that the mean retail price per gallon of regular grade gasoline in the United States is$3.43 with a standard deviation of $0.10 and that the retail price per gallon has a bell-shapeddistribution (again, refer to Figure 3.5 on p. 133 in the textbook for a bell-shaped distribution).a What percentage of regular grade gasoline sold between $3.33 and $3.53 per gallon?b. What percentage of regular grade gasoline sold between $3.33 and $3.63 per gallon?What percentage of regular grade gasoline sold for more than $3.63 per gallon?C.

Mean()=$3.43Standard deviation()=$0.10

Answered: 2. 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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2. The blood cholesterol levels of men age 55 to 64 are approximately Normal, with mean 222milligrams per deciliter (mg/dl) and standard deviation 37 mg/dl. A random sample of 58individuals will be collected and the sample mean cholesterol level will be computed. a. What is the mean of the sample mean? b. What is the standard deviation of the sample mean?
Suppose the durations of human pregnancies follow a mound-shaped distribution with a mean of 266 days and a standard deviation of 18 days. a. Approximately what percentage of human pregnancies last between 248 and 284 days? b. Between what two values will the durations of 95% of all human pregnancies fall? Answer in days
1. IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. Convert Einstein's IQ score to a z score. a. b. If we consider "usual IQ scores to be those that convert z scores between -2 and 2, is Einstein's IQ usual or unusual? C. The organization MENSA, which calls itself the "high IQ society", requires a score of 130 or higher. What percent of adults would qualify for membership? 2. In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of 5.4 and a standard deviation of 2.2. Find the probability that a randomly selected study participant's response was: a. Less than 4 b. Between 4 and 6 c. More than 8 3. The red blood cell count for a population of adult males can be approximated by a normal distribution, with a mean of 5.4 million cells…
Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
2. The scores from a state standardized test have a mean of 200 and a standard deviation of 50. The distribution of the scores is roughly bell shaped. The percentage of scores that lie between 100 and 300 is approximately a. 34% b. 47.5% c. 50% d. 68% e. 95%
Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?
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?
1. The mean age for licensed physicians in the United States is 51.5 years. A government officialrandomly selects 700 licensed physicians and computes their mean age to be 50.9 years.a. Which value is the parameter and which the statistic? b. Is it unreasonable that the mean of the 700 physicians is different than 51.5? Explain.
5. A. Draw a bell-shaped curve and label the axis with the 7 values including the mean of 500 in the center and the other 6 values of 1. 2, and 3 standard deviations away from the mean B. Approximately what percentage of data values fall below 500? C. Approximately what percentage of data values fall between 400 and 600 ? D. Approximately what percentage of data values fall between 300 and 700? E. Approximately what percentage of data values fall between 200 and 800? F. Approximately what percentage of data values fall above 600? G. Approximately what percentage of data values fall below 200? H. Approximately what percentage of data values fall between 400 and 700 ?
3. Based on a survey, the average monthly allowance of the international students in Oxford University is ₱25,000 with a standard deviation of ₱1,000.00. The monthly allowance is normally distributed, what is the z-score of an international student with a monthly allowance of ₱23,000.
42. The speeds of vehicles on a certain part of a highway are normally distributed with a mean of 60 mph and a standard deviation of 6 mph. Use the Empirical Rule to answer the following questions. a. Approximately what percentage of vehicles travel at a speed between 54 mph and 66 mph? b. Approximately what percentage of vehicles travel at a speed greater than 72 mph? c. Approximately what percentage of vehicles travel at a speed not greater than 78 mph?

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