ccording to the American Automobile Association (AAA), the average cost of a gallon of regular unleaded fuel at gas stations in May 2014 was $3.65 (AAA Fuel Gauge Report). Assume that the standard deviation of such costs is $.15. Suppose that a random sample of n = 100 gas stations is selected from the population and the cost per gallon of regular unleaded fuel is determined for each. Consider x, the sample mean cost per gallon. Calculate mx and sx. What is the approximate probability that the sample has a mean fuel cost between $3.65 and $3.67? What is the approximate probability that the sample has a mean fuel cost that exceeds $3.67?

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A: Let X be the random variable for the number of ants in a group. Given that, X~N(μ=67.0, σ=83.64)…

Q: The weights of adult California Condors average 14.8lbs with a standard deviation of 3.25lbs.…

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Q: Suppose a small paint manufacturing company has a daily production that is normally distributed with…

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Q: uppose that the resting h stributed with mean 80 a /hat heart rate would a m

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Q: A data set with an unknown distribution has mean ?=360 and standard deviation ?=20.  State Chebyshev…

A: Given , μ = 360 , σ = 20

Q: A particular fruit's weights are normally distributed, with a mean of 486 grams and a standard…

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Q: A parenting magazine reports that the average amount of wireless data used by teenagers each month…

A: The objective of the question is to state the null and alternative hypotheses for the test. The null…

Q: Steel rods are manufactured with a mean length of 25 centimeters (cm). Because of the variability in…

A: Given, Steel rod length are normally distributed with mean 25 cm and standard deviation 0.07.

Q: Determine whether the samples are independent or dependent. To test the effectiveness of a drug,…

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Q: A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally…

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Q: A particular fruit's weights are normally distributed, with a mean of 305 grams and a standard…

A: Given: Formula: Let "X" be the weight of fruits in grams.

Q: Steel rods are manufactured with a mean length of 27 centimeter​ (cm). Because of variability in the…

A: Given Data Population Mean,μ = 27.0 Population Standard Deviation,σ = 0.06

Q: A set of data items is normally distributed with a mean of 20 and the standard deviation of 8.…

A: z-score: A z-score describes how many standard deviations a data item in a normal distribution lies…

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A: Let  X be the random variable from normal distribution with mean (μ) = 0.9 and standard deviation…

Q: The mean volume of a carton of milk filled by a machine is 1.0 quart, with a standard deviation of…

A: Normal distribution is also known as the Gaussian distribution . It is widely used in statistics .

Q: A particular fruit's weights are normally distributed, with a mean of 659 grams and a standard…

A: From the provided information, Mean (µ) = 659 grams Standard deviation (σ) = 7 grams Let X be a…

Q: The mean weight of a new- born baby is 7.58 pounds with a standard deviation of 0.67 pounds. Assume…

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Q: Assume that the heights of women are normally distributed with a mean of 65.4 inches and a standard…

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Q: A ski gondola carries to the top of a mountain. Assume that weights of skiers are normally…

A: Given :  Load limit = 3500lb Number of passengers = 25 mean = 180lb standard deviation = 44l

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A: a) Consider that µ1 is population mean wind speed of region A and µ2 is population mean wind speed…

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Q: The mean gas mileage for cars driven by the students at Chillville High School is 28.0 miles per…

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Q: A particular fruit's weights are normally distributed, with a mean of 464 grams and a standard…

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Q: An insurance company wants to know if the average speed at which men drive cars is greater than that…

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Q: Assume that the hourly cost to operate Saint-Martin Hyundai bus follows the normal distribution with…

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Q: tablet PC contains 3217 music files. The distribution of file size is highly skewed with many small…

A: * SOLUTION :-

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Q: Provide the null and alternative hypotheses used to address these problems. Make sure that your…

A: It is needed to find the null and alternative hypotheses.

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Q: In a survey, the mean weight of 1032 rats was calculated to be 132 gr. The standard deviation of the…

A: Given data,n=1032μ=132s=3P(X<124.5<X<139.5)=?

Q: The weight of potato chips in a large-size bag is stated to be 24 ounces. The amount that the…

A: