A study of the amount of time it takes a hiker to hike to the bottom of the Grand Canyon ane back to the top shows that the mean is 10 hours and the standard deviation is 2 hours. If 9 hikers are randomly selected, find the probability that their mean hiking time is less than hours. P(x < 9 hours) =F %3D (z <

Q: A random variable X is normally distributed with a mean of 175 and a standard deviation of 25. Given…

A:

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2010 Chevrolet…

A: Concept of sampling distribution of sample mean: Let a particular characteristic of a population is…

Q: Given the population of men has normally distributed weights with a mean of 172 lb and a standard…

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Q: A sample with a mean of M = 40 and a variance of s2 = 12 has an estimated standard error of 2…

A:

Q: A proton emitter produces proton beams with changing kinetic energy that is uniformly distributed…

A: Given : A proton emitter produces proton beams with changing kinetic energy that is uniformly…

Q: The number of people getting sick from imported meat products in a certain city in one month was…

A: Given data,μ=190σ=22P(X&gt;160)=?

Q: A normal distribution has a mean of u = 100 with o = 20. If one score is randomly selected from this…

A: The random variable X follows normal distribution. The population mean is 100. The population…

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: If the probability of a defective bolt is 0.1, find (a) the mean, and (b) the standard deviation of…

A: here  p= probability of defective bolt = 0.1 q = 1-p = 0.9 n= 900 here use binomial theorem because…

Q: A normal distribution has a mean of µ = 70 with σ = 12. If one score is randomly selected from this…

A: According to the provided information,

Q: Q4 The weight of McMaster students is Gaussian distributed with mean 86kg and standard deviation…

A: Given that: Mean = 86 kg S. D = 8 kg By using standard normal distribution z score...

Q: If systolic blood pressure (SBP) in the population is normally distributed with mean = 120 mm Hg and…

A: X~N(μ,σ)μ=120σ=15

Q: A sample with a variance of s2 = 36 has a standard deviation equal to s = 6. Tru or false

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Q: On average a supermarket sells 500 litres of milk a day with a standard deviation of 50 litres. If…

A: Assume, X be the random variable representing the quantity of milk sold per day (in liters). It is…

Q: A sample of n = 25 scores has a mean of x̅ = 65 and an estimated standard error of sx̅ = 2 points.…

A: The standard error is 2 points.

Q: A man height and weight  are nomally distributed with mean u= 70 inches and standard deviation a =…

A:

Q: A manufacturer produces a commodity where the length of the commodity has approximately normal…

A: Mean = 17.4 Standard deviation = 1.2 Sample size = 48

Q: The amount of time between taking a pain reliever and getting relief is nomally distributed with a…

A: Let "X" be the time between taking the medication and getting relief.

Q: et x denote the time it takes to run a road race. Supposex is approximately normally distributed…

A:

Q: The random variable x represents the reaction times, in milliseconds, of girls in a driving…

A: (a) (i) The value P(x&lt;325) is obtained Excel function “=NORMDIST(x, mean, standard deviation,…

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet…

A: Given Information: Mean = 8.4 Standard Deviation = 1.8 n = 40

Q: The weight of a tub of ice-cream from a certain brand is normally distributed with mean of 250g and…

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Q: A consumer survey indicates that the average household spends µ = 300 TL on heating per month during…

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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: Let the random variable X follow a normal distribution with a mean of 18 and a standard deviation of…

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Q: A sample of size 52 will be drawn from a population with a mean of 18 and a standard deviation of…

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Q: A forester studying the effects of fertilization on certain pine forests in the Southeast is…

A: Probability : Probability is a field of mathematics that deals with numerical descriptions of how…

Q: (a) The random samples of size n from an infinite population has a standard deviation of two. Show…

A: Introduction: It is required to show that precision of the estimator for μ will be increased when…

Q: Random samples of a Gaussian distribution will fall within two standard deviations of the mean with…

A: Concept:  68% of the data is within 1 standard deviation (σ) of the mean (μ), 95% of the data is…

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: From a normally distributed population, we took a simple random sample of 700 students with a mean…

A: Given: n=700, x=640, σ=300 and 1-α=90%. Then,1-α=0.9⇒α=0.1   The value of z at α=0.1 is 1.645.

Q: A normal distribution has a mean of u = 100 with o= 20. If one score is randomly selected from this…

A: Mean = 100 Standard deviation = 20

Q: If a random sample of 15 bolts is selected from your production process, compute the probability…

A: Let X denote the distribution of diameters of the bolt. Given that X follows N(mean = 1, SD = 0.1)…

Q: a) The weights of kindergarten students are known to be normally distributed with a mean of 19.5 kg…

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Q: The fill amount of bottles of a soft drink is normally distributed with a mean of 2.0 liters and a…

A:

Q: The weights of a population of barrels are normally distributed with a mean of 45.0 lb and a…

A: From the provided information, Mean (µ) = 45.0 lb Standard deviation (σ) = 7.9 lb X~N (45, 7.9) Let…

Q: The average price of a kilogram of ham is P1,300. Assume that the standard deviation is P150. If a…

A:

Q: The average weight of insects for a laboratory experiment is 13.2 g with a standard deviation of 0.8…

A: Given: Mean=13.2g Standard Deviation=0.8g

Q: "An electrical firm manufactures light bulbs that have a length of life that is approximately…

A: Given,mean(μ)=800standard deviation(σ)=100sample size(n)=29

Q: If the random variable of X is normally distributed with a mean of 50 and a standard deviation of…

A: Given that, Let X is normally distributed random variable with a mean of 50 and a standard deviation…

Q: The probability that a planted radish seed germinates is 0.80. A gardener plants nine seeds. Let X…

A:

Q: In City Y, the weights of adult males are normally distributed with mean 80 kg and standard…

A: Given: It is given that the weights of adult males are normally distributed with mean 80 kg and…

Q: A population has a mean of 60 and a standard deviation of 18. A sample of 81 observations will be…

A:

Q: A manufacturer of a low-tar cigarette claims that its cigarettes contain an average of 16.3 mg. of…

A: Given information- Population mean, µ = 16.3 mg Population standard deviation, σ = 3.1 mg Let, X be…

Q: In a study of the amount of time to rebuild a transmission, the mean was μ=6.5 hours and the…

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 probability that a person who exercises and eats well has a heart attack is predicted to be 0.6…

A: It is given that n=19 and p=0.6.

Q: An orange juice producer buys all his oranges from a large orange grove. The amount of juice…

A: An orange juice producer buys all his oranges from a large orange grove. The amount ofjuice squeezed…

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.