Suppose that the heights of college students are normally distributed with a mean of 66 inches and a standard deviation of 3 inches. We randomly sample a class of 36 students. a. If X = the height of one randomly selected student, then X ~ ______(_______,_______) b. What is the probability that a randomly selected student is taller than 65 inches? Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability. c. If xbar = the average height of the sample of 36 students in inches, then Xbar~ ______(_______,_______) d. What is the probability that the average height of the 36 students is more than 65 inches? Sketch the graph. Scale the horizontal axis for Xbar. Shade the region corresponding to the probability.

Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 90% of all…

A: GivenMean(μ)=14.3standard deviation(σ)=0.9

Q: Assume that adults have IQ scores that are normally distributed with a mean of µ-105 and a standard…

A: Given that  The adults have IQ scores normally distributed with  Mean (μ) = 105 Standard deviation…

Q: Create a portfolio consisting of one risk-free asset and one risky asset where you wish to have a…

A:

Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 90% of all…

A: Given : Men have hip breadths that are normally distributed with a mean of 14.3 in. and a standard…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: The readings at freezing on a batch of thermometers are normally distributed with a mean of 0…

Q: Assume that the random variable X is normally distributed, with mean 50 and standard deviation of 7.…

A: Given : Assume that the random variable X is normally distributed, with mean 50 and standard…

Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 95% of all…

A: We need to find out the 95th percentile for the hip breadth for men that separates the smallest 95%…

Q: A set of data items is normally distributed with a mean of 200 and a standard deviation of 40. find…

A:

Q: Bundles of firewood are normally distributed with a mean of 20 pounds, and a standard deviation of 2…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean 103.4 of and a standard…

A: IQ scores are normally distributed with a mean 103.4 and a standard deviation of 16.8.

Q: The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation…

A: Given: Mean number of days, μ=267 days. Standard deviation, σ=15 days. The objective is, To find…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A: Given that, Adults have IQ scores that are normally distributed with, Mean = 105 Standard deviation…

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

A:

Q: The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation…

A: Given: μ=269 and σ=15. a)PX≥308=PX-μσ≥308-μσ=PZ≥308-26915=PZ≥2.6=1-PZ<2.6=1-0.9953=0.0047…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100.3and a standard…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…

A: Solution: Let X be the IQ score. From the given information, X follows normal distribution with mean…

Q: Healty people have body temperatures that are normally distributed with a mean of 98.20∘F and a…

A: Obtain the probability if a healthy person is randomly selected that he or she has a temperature…

Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 95% of all…

A: We have to find p95..

Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 90% of all…

A: Men have hip breadths x that are normally distributed with mean =14.4 in. and standard deviation…

Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 95% of all…

A:

Q: ssume that a randomly selected subject is given a bone density test. Bone density test scores are…

A:

Q: assume that thermometer readings are normally distributed with a mean of 0 degree celsius and a…

A: Given that, Thermometer readings are normally distributed with Mean = 0 Standard deviation = 1

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: mean=145.2cm S.D=2.2cm

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A:

Q: The sick leave time of employees in a firm in a month is normally with a mean of 100 hours and a…

A: Let X be a continuous random variable of employees sick leave time in a firm in month (in hours) is…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 105   and a standard…

A: It is given that the mean and standard deviation are 105 and 15, respectively.

Q: The probability of a transformer that has been refurbished at a factory being defective is 0.12. An…

A: Given that - The probability of a transformer that has been refurbished at a factory beingdefective…

Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 90% of all…

A: Given : Men have hip breadths that are normally distributed with a mean of 14.6 in. and a standard…

Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 90% of all…

A: Obtain the value of hip breadth for men that separate the smallest 90% from the largest 10%. The…

Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 95% of all…

A: We have to find P95  we have given Population mean μ=14.9   Population Standard deviation σ = 1.1…

Q: Find the proportion of their long distance calls that is between 4.0  minutes and 5.5 minutes?

A: Let X be a random variable which denotes lengths of the long distance calls.…

Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 95% of all…

A: Given X is normal Distributed with mean µ = 14.8 and standard deviation σ = 1.1 now will use…

Q: The shape of the distribution of the time required to get an oil change at a 15-minute oil-change…

A: Solution: Given information: n= 40 Sample size μ= 16.1 Population meanσ= 3.2 Population standard…

Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 90% of all…

A: Given: Population meanμ=14.3Population standard deviationσ=1.1 Consider X be the random variable…

Q: Ten percent of the world's population is left-handed. A researcher claims that left-handed…

A: Given dataTen percent of the worlds population are left handed.A researcher took a sample of 900…

Q: assume that adults have IQ scores that are normally distributed with a mean of 99.5 and a standard…

A:

Q: The average age of a vehicle registered in the United States is 96 months. Assume the standard…

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

Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 90% of all…

A:

Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 95% of all…

A: Given that the hip breadth for men is normally distributed with mean = 14.5 inch and standard…

Q: The average score of all golfers for a particular course has a mean of 75 and a standard deviation…

A: Solution:  Given:  Average score( μ) =75      Standard deviation(σ) = 4.5…

Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 90​% of…

A: Given: Formula: Let "X" be the hip breadth for men in inches.

Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 95% of all…

A: Given that  Mean = 14.8  Standard deviation = 1.2 P95 means P( x < a ) = 0.95

Q: The heights of palm trees along a beach are normally distributed with a mean of 4.55m and a standard…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of…

A: Given information- Population mean, μ = $4.59 Population standard deviation, σ = $0.10

Q: The ages of the winners of a cycling tournament are aproximately bell-shaped. The mean age is 27.9…

A: Given  mu=27.9, sigma=3.5, X=34 We want to find the z score Z=(X-mu)/sigma

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A:

Q: The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation…

A: Indicated value is z0.02. z=φ(0.02) z=2.05375    (Calculated from standard normal table) Thus,…

Q: 5. A professor finds that the grades in a large class are normally distributed. The mean of the…

A: Let X be the random variable that denotes the grades in the class. Given: X~Normalμ=64,σ2=102 Let…

Q: A representative sample of trees in a forest shows the trees to have a mean circumference of 19.7…

A:

Q: Engineers want to design seats in commercial aircraft so that they are wide enough to fit 90% of all…

A: Given data,Mean μ=14.8sd σ=1.2Find P90P(X<x)=0.90x=?

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.