Suppose (rounded to the nearest thousand) that the mean cost of a house is $152,000 with a standard deviation of $44,000 in Pittsburgh and that house prices are normally distributed. Between what two prices do the middle 95% of houses fall in Pittsburgh?  Find the probability that a house costs less than $100,000.  If you are in the market for one of the most expensive 10% of houses, what price range are you exploring?

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 19.4…

A: Solution :  Mean = 19.4 Standard deviation = 2.8 Sample size = 36 P(xbar > 18) z-statistic: (xbar…

Q: 1. The iPhone battery capacity is normally distributed with a mean of 4 years and a standard…

A: 1 year = 12 months Given: μ = 484 years = 48 months σ = 1010 (a) The corresponding z-value…

Q: announced that the median sales price of new houses sold one year was ​$211,000​, and the mean sales…

A: According to the sum, A report announced that the median sales price of new houses sold one year was…

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A: Since you have submitted two questions, we'll answer the first question. For the second question…

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A: A. The z score formula is, z=x-μσ In the formula x is defined as random variable, μ is population…

Q: Traveling between two campuses of a university in a city via shuttle bus takes, on average, 31…

A: The given data are: Mean, μ=31 minutes Standard deviation, σ=5 minutes n=40 For sample average, z is…

Q: 14. The golf scores for a school team were normally distributed with a mean of 68 and a standard…

A:

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

A: Given that, Mean = 22.9 Standard deviation = 6.7

Q: a. How many standard deviations away from the mean is a beetle with mandible length of .44 mm? b.…

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Q: Assume that the traffic to the web site of Smiley’s People, Inc., which sells customized T-shirts,…

A: Since, you have you have posted a question with multiple subparts we will solve first three subparts…

Q: A report announced that the median sales price of new houses sold one year was $211,000​, and the…

A: Sample mean will also follow normal distribution with parameters,

Q: Assume that the traffic to the web site of Smiley’s People, Inc., which sells customized T-shirts,…

A: Note: Please repost part d as i can answer only 3 subparts as per my policy. Given data,Mean μ=4.56…

Q: A pharmaceutical company claims that a drug is effective in treating 90% of people having severe mig…

A: Given information: The percentage of people having severe migraine headaches is 90%. That is, p=0.90…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 5.8…

A: GivenMean(μ)=5.8standard deviation(σ)=1.2sample size(n)=39

Q: The operation manager at a tire manufacturing company believes that the mean mileage of a tire is…

A: The sampling distribution of sample mean follows the normal distribution, if the population is…

Q: Rochester, New York averages μ = 21.9 inches of snow for the month of December. The distribution of…

A: Consider X be a random variable which, follows normal distribution, indicates the pay off by the…

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

A: Since you have posted multiple question, we only provide answers of first three subparts . Please…

Q: If the grades on a statistics test are normally distributed with a mean of 80 and a standard…

A: Introduction: Define X as the grade of a randomly selected student. It is given that X has a normal…

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

A: Provided information is ; Let X be the monthly utility bill mean(μ) = 100 standard deviation(σ)=15…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 19.6…

A: The answer is attached below,

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 9.7…

A:

Q: The time required to complete a laboratory strep test is normally distributed with a mean time of 70…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11.7…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: In a recent study on world​ happiness, participants were asked to evaluate their current lives on a…

A: Given,mean(μ)=4.7standard deviation(σ)=2.3

Q: Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Solution: Let X be the transport time. From the given information, X has mean µ=28 minutes and a…

Q: Fraveling between two campuses of a university in a city via shuttle bus takes, on average, 28…

A: We want to find the probability  P(xbar>30)

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

A: X follows a Normal distribution with mean = 100 and S.D = 13 Then z=(x-mean)/SD = (x-100)/13…

Q: The amount of rain falling in Waimea Canyon State Park, Kauai is normally distributed with a mean of…

A:

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 15.2…

A: Given, n=41 which is greater than 30 which implies that the Here,

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 13.8…

A: The central limit theorem says that for a sequence of independent and identically distributed random…

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

A:

Q: Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Let X be the transport time. From the given information, X has mean µ=28 minutes and a standard…

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: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 9.5…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 9.5, standard…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 5.9…

A: Given that the sample size=n=31 Since n>30, so the sampling distribution follows a normal…

Q: Ten years after graduation, the salaries of Heriot-Watt University graduates are Normally…

A: Given that.   X~N( μ , ?^2 )   μ=55000    , ?=11000   Z-score =( x - μ )/?

Q: A report announced that the median sales price of new houses sold one year was $231,000​, and the…

A:

Q: Assuming that student incomes from employment in industry during the day are normally distributed…

A:

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 11…

A: Mean = 11 Standard deviation = 2.9 Sample size = 36

Q: If a gambler places a bet on the number 7 in​ roulette, he or she has a​ 1/38 probability of…

A:

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

A: It is given that the mean is 100 and the standard deviation is 15.

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

A: From the provided information, Mean (µ) = 57 Standard deviation (σ) = 3.5 Let X be a random variable…

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

A: Given : mean = 100 Standard deviation = 13

Q: In recent years, the average movie ticket cost $7.89. In a random sample of 50 movie tickets from…

A: From the provided information, Mean (µ) = $7.89 Population standard deviation (σ) = $1.39 X~N (7.89,…

Q: A technical assistance service with electronic equipment has that its service time is normally…

A: Given,mean(μ)=80standard deviation(σ)=25

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 19.6…

A: Given Data Population Mean,μ = 19.6 Population Standard Deviation,σ = 2.6 sample…

Q: According to AAA, the price of a gallon of regular, unleaded gas across gas stations in Ohio is…

A: According to AAA, the price of a gallon of regular, unleaded gas across gas stations in Ohio is…