Suppose that the average number of Facebook friends users have is normally distributed with a mean of 140 and a standard deviation of about 50. Assume twelve individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. What is the distribution of ¯xx¯? ¯xx¯ ~ N(      ,      ) For the group of 12, find the probability that the average number of friends is more than 124.  Find the third quartile

Q: Assume that women's heights are normally distrubuted with a mean of 63.6 inches and a standard…

A: From the given information, the mean is 63.6 and the standard deviation is 2.5.

Q: The average height of adult American men is 69" with a standard deviation of 3".  If samples of 50…

A: The sample mean μx¯ is equal to the mean of the population μ, i.e, μx¯=μ The population mean μ is…

Q: During a recent week the mean price of regular gasoline in Houston was $2.15 with a standard…

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Q: (a) Find the percentage of women who should have heights of 63.5 inches or less.    (b) In a…

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Q: The percent of fat calories that a person in a city consumes daily is normally distributed with a…

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Q: At a local restaurant, the amount of time that customers have to wait for their food is normally…

A: The mean is 24 and the standard deviation is 3.

Q: A certain machine makes electrical resistors having a mean resistance of 40 ohm and a standard…

A: Given: The mean resistance of electrical resistors is μ=40 ohm. The standard deviation is σ=4 ohm.…

Q: Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of…

A: Given information Mean Diameter(µ) = 202 inches Standard deviation(σ) = 1.3 No of samples (n) = 70

Q: The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.53…

A: Given that  Let X denotes the diameter of a brand of tennis  X~N(2.53, 0.04) Sample size (n)=10 Let…

Q: Suppose that human pulse rates for children over 10 and adults are approximately normally…

A: Note: Please repost remaining subparts as i can author only 3 sub-parts as per my policy. Given…

Q: The salaries of elementary echool teachere are normally dietributed with a mean of $32,000 and a…

A:

Q: While checking receipts at Reds, it was determined that the average amount spent on       food per…

A: Mean = 21.50 Standard deviation = 2.22 n = 8

Q: The amount of revenue of a shop is approximately normally distributed with a mean of $4500 and a…

A: We have to find out given probability..

Q: Suppose the neck size of men is normally distributed, with a mean of 15.5 inches and a standard…

A: Given problem is : Suppose the neck size of men is normally distributed, with a mean of 15.5 inches…

Q: Researchers at a National weather center in the North Eastern United States recorded the number of…

A: To determine whether the data indicate that the past four years have had significantly more 90°days…

Q: What is the probability that the 49 fly balls traveled an average of less than 240 feet?

A: Suppose that the distribution of fly balls hit to the outfield (in baseball) is normally distributed…

Q: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56…

A: From the provided information, Mean (µ) = 56 hours Standard deviation (σ) = 3.3 hours Let X be a…

Q: A new brand of cell phone battery has a mean battery life of 54 hours with a standard deviation of…

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Q: The weights of the cereal in boxes of Kooky Krunch cereal are normally distributed, with a mean of…

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Q: Assume that the blood pressure data is normally distributed with a mean of 70.2 and a standard…

A: Let X denote the blood pressure data and it follows normal distribution with a mean of 70.2 and a…

Q: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56…

A: Let "X" be the lifetimes of light bulbs. Use excel formula "=NORM.S.DIST(1.5152, TRUE)" &…

Q: The ultimate tensile strength of an aircraft bolt has mean 20 kN and is believed to be (at least…

A:

Q: The salary for workers at a company are normally distributed with a mean of $60,000 and a standard…

A: Given  Mean = 60000 Standard deviation = 9000 Sample size = 36 Z score formula = (x -mu)/s/√n

Q: The average hourly wage for manufacturing workers in the United States is $20.89 per hour, With a…

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Q: assume that blood pressure readings are normally distributed with a mean of 135 and a standard…

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Q: It is will known that the proportion of smokers in Jordan = 0.7 , using a random sample of size n =…

A: It is will known that the proportion of smokers in Jordan = 0.7 , using a random sample of size n =…

Q: Assume that women's weights are normally distributed with a mean given by μ=143 and a standard…

A:

Q: The personal office at a large electronics firm regularly schedules job interviews and maintains…

A: Given, Mean = 34 Standard deviation = 7 Sample size = 9   The objective to is find the probability…

Q: While checking receipts at Reds, it was determined that the average amount spent on food per table…

A:

Q: The daily withdrawals from an ATM located at a service station is normally distributed with a mean…

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Q: he weight of the package is normally distributed with a mean of 650 g and a standard deviation of 42…

A: Given that  The weight of the package is normally distributed with a mean of 650 g and a standard…

Q: A small computing center has found that the number of jobs submitted per day to its computers has a…

A: Let X be a random variable such that X: Number of jobs submitted per day to its computers We know,…

Q: The monthly utility bills in a city are normally​ distributed, with a mean of $100 and a standard…

A:

Q: A certain species of fish is said to have an average lifespan of 2.5 yrs, with a standard deviation…

A:

Q: A certain species of fish is said to have an average lifespan of 2.5 yrs, with a standard deviation…

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Q: In a certain barangay, Peter Jhon wants to estimate the mean weight u, in kilograms, of all…

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Q: Suppose the body mass index (BMI) of a group of athletes has a population mean of 24.98 and a…

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Q: On the distant planet Cowabunga , the weights of cows have a normal distribution with a mean of 530…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: The arrival schedule of an ETS train from Kuala Lumpur to Sungai Petani follows a normal…

A: Given: X~N(μ,σ)μ=0954σ=7.4 The train is expected to arrive at 0948.

Q: Assume women’s heights are normally distributed with a mean of 63.6 inches and a standard deviation…

A:

Q: The personal office at a large electronics firm regularly schedules job interviews and maintains…

A: Given, μ=34 minutesσ=7 minutesn=9

Q: The number of feathers on a typical blue jay is believed to be normally distributed. On average, it…

A: Correct answer is (e). P(-7.5<Z<1)

Q: The personal office at a large electronics firm regularly schedules job interviews and maintains…

A: Given: Population mean μ=34Population standard deviation σ=7 Sample size(n)  = 9 Consider X be the…

Q: cholesterol levels in men aged 18 to 24 are normally distributed with a mean of 178.1 and a standard…

A: Consider a random variable X which represents the serum cholesterol levels in men aged 18 to 24.…

Q: The test scores of 600 students are normally distributed with a mean of 76 and a standard deviation…

A:

Q: The photoresist thickness of wafers in semiconductor manufacturing has a mean of 10.6 micrometers…

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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.