At one point the average price of regular unleaded gasoline was ​$3.44 per gallon. Assume that the standard deviation price per gallon is ​$0.05 per gallon and use​ Chebyshev's inequality to answer the following. ​(a) What percentage of gasoline stations had prices within 3 standard deviations of the​ mean? ​(b) What percentage of gasoline stations had prices within 1.5 standard deviations of the​ mean? What are the gasoline prices that are within 1.5 standard deviations of the​ mean? ​(c) What is the minimum percentage of gasoline stations that had prices between $3.24 and $3.64?

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A:

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A: It is given that the mean is 28.38 and standard deviation is 1.49.

Q: For a list of positive numbers, is it possible for the standard deviation to be greater than the…

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Q: Which of these statement accurately describes Chebychev's Inequality? a. For a data set, the…

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Q: What score would be necessary to obtain a grade A

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Q: At one point the average price of regular unleaded gasoline was ​$3.75 per gallon. Assume that the…

A: a) Suppose a random variable X defines the price of regular unleaded gasoline.

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Q: In a given school year, the ACT test mean score was 21 with a standard deviation of 4.9.  The same…

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Q: Suppose you have a test with a mean of 66 and a standard deviation of 5. If you first increase…

A: Given Mean =66 Standard deviation=5

Q: The sum of deviations (of actual observations) around the mean are always equal to zero TRUE OR…

A:

Q: If an adult male is told that his height is within 2 standard deviations of the mean of the normal…

A: If an adult male is told that his height is within 2 standard deviations of the mean.

Q: Suppose you are told that a computer programmer in Portugal who makes $809.40 has a z-score of -0.50…

A: Solution: It is given that a computer programmer in Portugal who makes $809.40 has a z-score of…

Q: At one point the average price of regular unleaded gasoline was ​$3.48 per gallon. Assume that the…

A: Given,Mean μ=3.48Standard deviation σ=0.09a)% of stations a)% of stations within 3 standard…

Q: If the mean is seven and the standard deviation is two, what value is three standard deviations to…

A: It is given that the The mean is 7 and the standard deviation is 2 i.e. μ =7 and σ =2. We have to…

Q: A class has an average height of 68 inches and a standard deviation of 2 inches. Find each value,…

A: For the given data Mean μ = 68 inchesStandard deviation σ = 2 inches

Q: For a population, a deviation score is computed as X – σ.

A: What is Deviation score ? Deviation score is basically a degree of score from which a raw score is…

Q: The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and female…

A: 1. The formula for the point estimate is: The point estimate for the true difference between the…

Q: For an exam with a mean of μ = 84 and a standard deviation of σ = 6, Mary has a score of X = 93,…

A: GivenMean(μ)=84standard deviation(σ)=6

Q: If the professor grades on a curve​ (for example, the professor could give​ A's to the top​ 10% of…

A: The z-score for grade of 81 is, z=81-729=99=1 The z-score for grade of 75 is, z=75-674=84=2

Q: If a set of numbers has a standard deviation of zero, what can you say about the numbers?

A: The standard deviation indicates that amount of deviation of data points from the mean.

Q: The deaths attributed to UV radiation have a mean of 141.5 with a standard deviation of 92.1.…

A: Mean = 141.5 Standard deviation = 92.1 Raw score = 343

Q: The residents of two towns both have a mean income of $30,000. Town A has a standard deviation of…

A: Mean income for town A and town B is $30,000. Standard deviation of Town A = $2600. Standard…

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 144 and a standard…

A: It is given that the population of a random variable follows normal distribution with mean 144 and…

Q: Suppose the exam average in a class is 82% with a standard deviation of 2. What proportion of…

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Q: The scores on a standardized mathematics test for 8th grade children in New York State from a normal…

A: Obtain the standard z-score for the random variable X equals 75. The standard z-score for the random…

Q: It is possible to have a standard deviation of -1 for some data set? True or False

A: See the below solution

Q: Is it possible for the standard deviation of a list of numbers to equal 0? If so, give an example.…

A: Standard deviation refers to the spread in the data set. If the standard deviation equals zero, it…

Q: Suppose that, for a certain exam, a teacher grades on a curve. It is known that the mean is 50 and…

A: Given mean is 50 and the standard deviation is 5. There are 35 students

Q: The mean difference equals 1.2, the standard deviation of the difference equals 1.5, and n equals…

A: It is given that mean difference is 1.2, the standard deviation of the difference is 1.5 and the…

Q: In an establishment, the co-efficient of variation of wages of male and female workers were 55% and…

A: Mean is the location of average and it a measure of central tendency. It is calculated by adding all…

Q: set of scores ranges from a low of X = 25 to a high of X = 33 and has a mean of 29. Which of the…

A: GivenRange XMin= 25Range XMax= 33

Q: At one point the average price of regular unleaded gasoline was ​$3.65 per gallon. Assume that the…

A: We have to find givén values...

Q: At one point the average price of regular unleaded gasoline was ​$3.44 per gallon. Assume that the…

A: given that mean =3.44

Q: Suppose you know that the amount of time it takes your friend Susan to get from her residence to…

A:

Q: The mean of fifty sales receipts is $65.75 and the standard deviation is $10.55. Using Chebyshev’s…

A: Here, The mean of fifty sales receipts is $65.75 and the standard deviation is $10.55. Chebyshev’s…

Q: At one point the average price of regular unleaded gasoline was ​$3.61 per gallon. Assume that the…

A: Given Information: Mean μ=$3.61 Standard deviation σ=$0.05 Chebyshev's inequality states that at…

Q: If the standard deviation of a data set was originally 5, and if each value in the data set was…

A: Given that  The Standard deviation is 5

Q: In a population with a mean of μ = 50 and a standard deviation of σ = 10, would a score of X = 58 be…

A: Given in a population with a mean of μ=50, and a standard deviation of σ=10, a score of X=58

Q: 2.5% Of scores on a normally distributed college entrance test or below 60% and 2.5% of the scores…

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Q: What is the best approximation of the standard deviation ofthe measures -4, -3.0, 8, and 9?

A: Solution: Let X be the measure. The given data is –4, –3, 8 and 9.

Q: At one point the average price of regular unleaded gasoline was $3.46 per gallon. Assume that the…

A: Chebyshev's inequality: Chebyshev's rule is appropriate for any distribution. That is, Chebyshev's…

Q: At one point the average price of regular unleaded gasoline was ​$3.49 per gallon. Assume that the…

A:

Q: Your hospital has just reset the safety stock level for sleeping pills to be 205 pills. If your…

A: Given that the hospital keeps a stock of 205 pills. μ=1441σ=78.544

Q: Based on a survey, the mean weekly allowance of the Grade 11 students of XZY University is ₱750.00…

A: Solution:- from given information mean μ=750 standard deviation σ=100assuming the weekly allowance…

Q: A group of adult males has foot lengths with a mean of 27.3127.31 cm and a standard deviation of…

A: The range rule of thumb is µ±2σ and the values which fall outside this range is said to be…

Q: If there are ten values each equal to 10, then standard deviation of these values is:

A: Standard deviation determines how the individual values of the data deviate from the value of mean.…

Q: IF your mean is 832 and your standard deviation is 86, what values like in the 36% range?? How do…

A: Given Data: Mean=832 SD=86

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.