The average height of adult American men is 69" with a standard deviation of 3".  If samples of 50 men are taken: a.  What is the mu of the x bars? b.  What is the sigma of the x bars? c.  What is the probability that the next x bar is less than 68 inches? d.  What is the height above which you will find 75% of the x bars?

Q: The head circumferences of women are normally distributed with a mean of 32 cm and a standard…

A: We have given that.   X~N( μ , ?^2 )   μ =32 , ? =9   , n= 16   Z-score =( x - μ )/?   Note…

Q: 1.The average length of adult rabbit is 30 cm with the standard deviation of 4 cm. If their length…

A: Given : Let X : Length of adult rabbit is normally distributed with Mean (μ) = 30  (in cm) Standard…

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

A: Given that, mean, mu= 57 Standard deviation, sigma= 3.5 We know that, Z score=(X-mu)/sigma Here…

Q: Moore Reno, an officer in the highway patrol group, observed that the speeds of vehicles on a…

A:

Q: Given that x is distributed normally with mean 74 and standard deviation 10, what is P(72 < x < 82)…

A:

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

A: From the given information,   Mean  = 35 Standard deviation = 7.5   The objective is to find the…

Q: If a variable is normally distributed with a mean of 30 and a standard deviation of 6, what is the…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

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

A: P(X&gt;30)=1-Pz&lt;30-311045=1-P(z&lt;-0.67)=1-0.2514=0.7486

Q: Assume that the mean number of yearly burglary attempts in Normal, IL is μ=μ= 16, with a standard…

A: Solution: Let X be the number of yearly burglary attempts. From the given information, X follows…

Q: The IQs of 300 applicants to a certain college are approximately normally distributed with a Mean of…

A: The mean and standard deviation are given by μ=115,σ=12 The probability of getting a score more…

Q: he height of the candidate for Police Officer at JayBie Town is normally distributed with a ean 165…

A: Let X be the random variable from normal distribution with mean (μ) = 165 cm and standard deviation…

Q: The average income of right-handed adults is $54,000 with a standard deviation of $2,000. If you…

A:

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

A: Solution: Let X be the monthly utility bills in a city. From the given information, X follows normal…

Q: If the mean height of a population of university students is 166cm (μ=166) and the standard…

A: Consider,X be the height of students which follows normal distribution with mean of 166 cm and…

Q: A normal distribution has a mean of u=54 and a standard deviation of o=6, what is the probability of…

A:

Q: 8, and the sample standard deviation, s, is found to be 4.6. ...

A:

Q: Thwhe average arm height of jaguars is 16 inches, with a standard deviation of 2 inches. out of a…

A:

Q: 2. Given a standard deviation of 3.7, what is the mean if1 0% of the population has a distribution…

A: We have given that,  Let x be the random variable from normal distribution with standard deviation…

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

A: P(X&lt;30)=Pz&lt;30-28540=P(z&lt;2.53)=0.9943

Q: For a normal distribution curve with a mean of 15 and a standard deviation of 5, which range of the…

A:

Q: Consider that in a population of Filipino adults ages 18 to 65, Body Mass Index (BMI) is normally…

A: Given that, Mean, mu= 28 And standard deviation, sigma= 6 P(X=x)= 20% = 0.20 We know that,  Z score=…

Q: A population with u = 85 and o = 12 is transformed into z-scores. After the transformation, what is…

A: When the raw scores are transformed to z-scores the mean will be always equal to 0 and the standard…

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

A: From the provided information, Mean (µ) = 56 Standard deviation (σ) = 3.2 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 Data Population Mean,μ = 100.0 Population Standard Deviation,σ = 12.0

Q: 4) According to one pollster, 59 % of people are afraid of flying. Suppose that a sample of size 26…

A:

Q: The average teachers salary in a particular state is $54,141. If the standard deviation is $10,430,…

A: From the provided information, Mean (µ) = $54141 Standard deviation (σ) = $10,430 X~N (54141, 10430)…

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

A:

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

A: (a) Let x be the monthly utility bills in a city which follows normal distribution with mean 100,…

Q: Suppose a survey finds that the mean monthly rent of a two-bedroom apartment in seattle is $560,…

A: Given Information:Mean, μ=$560Standard Deviation, σ=$35

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

A: Given X is normal Distributed with mean µ = 57.0 and standard deviation σ = 3.5 now will using…

Q: Given the amount of annual snowfall in Big Bear City is normally distributed with μ=62 inches, and a…

A: Here the amount of annual snowfall is normally distributed with mean=62 and standard deviation=10. A…

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

A:

Q: "The weights of 1,000 children, in average, is 46kg with standard deviation of 11kg. Suppose the…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: A normal distribution has a mean of u=54 and a standard deviation of o=6, what is the probability of…

A: Mean = 54 Standard deviation = 6 Sample size, n = 36

Q: Given that the mean weight of senior high school students is 65kg with a standard deviation of 10.…

A: Given information Population mean µ = 65 kg Standard deviation σ = 10 We have to determine the…

Q: A normal distribution has a mean of 54, and a standard deviation of 6. What is the probability of…

A:

Q: For a normal distribution curve with a mean of 15 and a standard deviation of 4, which range of the…

A: Let X be the random variable from normal distribution with mean (μ) = 15  and standard deviation (σ)…

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

A:

Q: The AAA reports that the average time it takes to respond to an emergency call is 25 minutes. Assume…

A:

Q: it was determined that the survival time, in weeks, of an animal subjected to a certain exposure of…

A:

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

A: Let X denote the population of men has normally distributed weights with a mean of 172 lb and a…

Q: Assume that the heights of blocks are normally distributed, with a mean of 14.6 inches and a…

A:

Q: The number of cars crossing the Pigeon River border crossing each day is known to be normally…

A: GivenMean(μ)=2500standard deviation(σ)=600

Q: It is known that the distribution of the Wechsler Adult Intelligence test is normal, the mean is µ =…

A: It is given that the mean is 130, the standard deviation is 15 and the sample size is 9.

Q: are normally​ distributed, with a mean of $100 and a standard deviation of ​$13. Find the…

A: Given: μ=100, σ=13 The corresponding z-values needed to be computed are: The probability that 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…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.