The lengths of lumber a machine cuts are normally distributed with a mean of 87 inches and a standard deviation of 0.5 inch. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 87.18 inches? (b) A sample of 35 boards is randomly selected. What is the probability that their mean length is greater than 87.18 inches? (a) The probability is (Round to four decimal places as needed.) (b) The probability is (Round to four decimal places as needed.)

Q: The average GPA at the University of North Carolina is 3.2, with a standard deviation of 0.3. Assume…

A: Given that.   X~N( μ , ?^2 )   μ=3.2     , ?=0.3   Z-score =( x - μ )/?

Q: in a certain region, the mean annual salary for electricians is $58,650. Let x be a random variable…

A: GivenMean(μ)=58650standard deviation(s)=1890sample size(n)=40

Q: The height of the students at Great Lake University is normally distributed with a mean (mu) of 68…

A: The question is about normal distribution.Given :Population mean height of students (  ) = 68…

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

A: According to guidline we are supposed to solve first three subparts only ,rest can be asked again by…

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 88 inches and a…

A: It is given that the mean is 88 and the standard deviation is 0.3.

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

A: Sampling distribution of x¯ : If simple random sample of size n is drawn from Normal population with…

Q: The distance travelled to work by the employees of PUP may be modelled by a normal distribution with…

A: Answer:- Given the distance traveled to work by the employees of PUP may be modeled by a normal…

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

A: The question is about normal distribution.Given :Population mean grade (  ) = 72Population standard…

Q: Motorola used the normal distribution to determine the probability of defects and the number of…

A: Refer to Standard normal table/Z-table to find the probability of z=-1 and z=1 to the left of the…

Q: The average cost per household of owning a brand new car is $5000. Suppose that we randomly selected…

A: Z-score formula : z = (x̄ - μₓ̄ )/σₓ̄

Q: The length of time it takes a college student to find a parking spot in the library parking lot…

A: Mean(μ)=7.0 standard deviation(σ)=1

Q: Many jobs require applicants for admission to take the driving examination. Scores on the driving…

A: Given,mean(μ)=526standard deviation(σ)=113

Q: In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a…

A:

Q: Physics students at a local university have designed a "hot dog gun" designed to shoot hot dogs into…

A: Let X: the distance it will shoot hot dogs. X is normally distributed.i.e. X~N(μ,σ2)where,…

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

A: Given information: Let X be the lengths of pregnancies. X~Nμ=267, σ=15

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

A: Given ,       Mean,μ =267standard deviation,σ=45using formula,Z-score = x-μσ

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 91 inches and a…

A:

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

A: The problem presented involves a normal distribution of pregnancy lengths with a mean of 269 days…

Q: A simple random sample of 144 observations was taken from a large population. The sample mean and…

A: sample mean is given by, x = 120.8 and sample standard deviation is given by, s = 32.46 Number of…

Q: A study indicates that 18- to 24- year olds spend a mean of 120 minutes watching video on their…

A: The mean is 120 minutes and the standard deviation is 20 minutes.

Q: Assume the credit card balances of younger college educated employed persons are normally…

A:

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

A: Assume the random variable x defines the fill amount of bottles of a soft drink.

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A: Given Information:Mean, μ=7Standard Deviation, σ=3

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A: Given Mean=64 Standard deviations=2.4

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

A:

Q: According to a study done by UCB students, the height for Martian adult males is normally…

A:

Q: Given a distribution with a mean of 80 and a standard deviation of 10, what is the probability of a…

A: Given that  Mean=80 , Standard deviation=10 Find  P(X<=65)

Q: Assume that blood pressure readings are normally distributed with a mean of 123 and a standard…

A:

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A: Mean()=13standard deviation()=2

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.