Suppose that prices of women’s athletic shoes have a mean of $75. and a standard deviation of $17.89. What is the probability that the mean price of a random sample of 50 pairs of women’s athletic shoes will differ from the population mean by less than $5.00?

Q: In an all boys school, the heights of the student body are normally distributed with a mean of 68…

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Q: Assume the returns of a stock follow a normal distribution with a mean return of 18% and a standard…

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Q: In a normal distribution with a mean of 72 and a standard deviation of 12 what is the probability…

A: Given,mean(μ)=72standard deviation(σ)=12

Q: According to the children’s growth chart that doctors use as a reference, the heights of…

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Q: The time that a shopper spends in the grocery store is normally distributed, with a mean of 65…

A: We have to find given probability..

Q: A student finds that the average price of a movie ticket in Washington is $12.25 and that the…

A: From the provided information, Mean (µ) = $12.25 Standard deviation (σ) = $2 Let X be a random…

Q: Suppose the grades in a mathematics class are Normally distributed with a mean of 75 and a standard…

A: Introduction :-  Here the grades in a mathematics class are Normally distributed with a mean of 75…

Q: If the mean height of a population of students is 68 inches with standard deviation 3 inches, what…

A: Given that      The mean height of a population of students is 68 inches with standard deviation 3…

Q: According to the study, the average number of hours that the student spent studying per week in the…

A: From the provided information, Mean (µ) = 56 hours Standard deviation (σ) = 14 hours X~N (56, 14)

Q: Since a population has a mean of 73.5 and a standard deviation of 2.5, what is the probability that…

A: We have to find given probability.....

Q: A study found that the heights of college males follow a normal distribution with a mean of 70…

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Q: The golf scores for a school team were normally distributed with a mean of 72 and a standard…

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: A set of final examination grades in an introductory statistics course is normally​ distributed,…

A: Given that, A set of final examination grades in an introductory statistics course is normally​…

Q: A local sports magazine reports the mean length of a baseball game to be 175.9 minutes with a…

A: Given, mean, μ= 175.9 minutes standard deviation,  = 27 minutes n = 30

Q: Suppose the probability a patient will recover from a disease following medication is 0.7. In a…

A: Given : the probability a patient will recover from a disease following medication is 0.7.  In a…

Q: The number of people in a department store is normally distributed with a mean of 85 and a standard…

A: We have to find the solution for the given problem.

Q: According to a Sallie Mae survey and credit bureau data, in 2008, college students carried an…

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Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

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Q: A study indicates that the weights of adults are normally distributed with a mean ? of 140 lbs and a…

A: 1.Let X be the weight of adults. X follows normal distribution that has mean µ = 140 and the…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 13 inches,…

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Q: Suppose the mean weight of school children's book bags is 17.5 pounds, with standard deviation 2.2…

A: Given problem Given that   The mean weight of school children's book bags = μ = 17.5 pounds…

Q: A civil engineer takes a public ride going to his firm. The average time for his trip is 24 minutes,…

A: The mean is μ=24 and the standard deviation σ=3.8 The office coffee time is 8:50 to 9:00 AM. So he…

Q: If the mean is two, the standard deviation is one, and a value for a normally distributed random…

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Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Given,mean(μ)=35standard deviation(σ)=7.5sample size(n)=50

Q: A professor at a university gives her large class an examination and finds that the scores follow…

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Q: Assume you have a binomial distribution. In an experiment with 100 trials and a probability of a…

A: Given that, n=100 p=1/2 =0.5 Standard deviation=?

Q: Suppose the area that can be painted using a single can of spray paint is slightly variable and…

A: It is given that the area that can be painted using a single can of spray paint has a normal…

Q: The average person uses 130 gallons of water daily. If the standard deviation is 35 gallons , find…

A: Given that, Mean = 130 Standard deviation = 35 Sample size = 25

Q: For a population with a mean of 100 and standard deviation of 16, what is the probability that a…

A: The central limit theorem states if the sample size (n) is large (greater than or equal to 30), then…

Q: A waitress believes the distribution of her tips has a model that is slightly skewed to the right​,…

A: a) The probability that she will earn at least $350 is obtained below: From the given information,…

Q: A set of final examination grades in an introductory statistics course is normally​ distributed,…

A: Let "X" be the grades of final examination. Use excel formula "=NORM.S.DIST(1.5714, TRUE)" to…

Q: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57…

A: Given data,μ=57σ=3.5

Q: Suppose the heights of 18 year old men are approximately normally diatributed, with mean 67 inches…

A: Mean = 67 Standard deviation = 5

Q: a survey found that 21% of Americans watch fireworks on television on July 4.  Find the mean,…

A: According to the given question, a survey found that 21% of Americans watch fireworks on television…

Q: In a recent​ year, the scores for the reading portion of a test were normally​ distributed, with a…

A: Given data,μ=22.9σ=6.7P(X<18)=?

Q: 3. Suppose that the IQ scores of Grade 11 students of OSFI is normally distributed with a mean of…

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Q: Given a sample with a mean of 151 and a standard deviation of 27, find the probability that a…

A: Given :  sample with mean of 151 and standard deviation of 27 we have to find P(X > 158 )

Q: According to the American Time Use Survey results released by the Bureau of Labor Statistics on June…

A: Given : μ = 168 , σ= 20 and n= 400       By Central Limit Theorem, x̅ follows a Normal…

Q: A set of final examination grades in an introductory statistics course is normally​ distributed,…

A: Here, µ = 72, σ = 9.

Q: The final exam scores in a Mathematics class were normally distributed with a mean of 75 and a…

A: As per our guidelines we are suppose to answer only one question. Given,mean(μ)=75standard…

Q: According to government data, the probability that a woman between the ages of 25 and 29 was never…

A: Let X be the random variable of number of women that never married Given n=10 p=0.4 X ~ Binomial(10,…

Q: The heights of 18 year-old men are approximately normally distributed, with a mean 68 inches and a…

A: The random variable height follows normal distribution. The population mean is 68. The population…

Q: According to the children’s growth chart that doctors use as a reference, the heights of…

A:

Q: A book publisher claims that its mean book length is 250 pages with a standard deviation of 70…

A:

Q: Suppose the area that can be painted using a single can of spray paint is slightly variable and…

A: It is given that the area that can be painted using a single can of spray paint has a normal…

Q: a distribution with a mean of 100 and a standard deviation of 15, what is the probability that a…

A:

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Given dataMean = 35Standard deviation = 7.5Sample size (n) = 40probability that the sample mean will…

Q: Suppose that IQ scores of Grade 11 students of Abuyog Academy is normally distributed with a mean of…

A:

Q: The heights of 18 year old men are normally distributed with a mean of 67 inches and a standard…

A: Given distribution is normally distributed with mean 67 and standard deviation 3 x~N(μ=67, σ=3)

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.