• The heights of students are approximately normally distributed with a mean of 175 cm and a standard deviation of 7 cm. Suppose a random sample of size 25 are drawn from this population. Determine the probability that that the sample mean 1. fall between 172 and 178 cm; 2. falling below 179 cm.

Q: The examination results of a large group of students in statistics are approximately normally…

A: Formula : Z =(X - μ)/σ

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: Given a normal distribution with a mean of 150 and a standard deviation of 10, what is the…

A: Given,   Mean = 150 Standard deviation = 10

Q: In a large population of college-educated adults, the mean IQ is 118 with a standard deviation of…

A: Given that, μ=118, σ=20, n=200 We have to find, PX>120

Q: A sample of size 10 will be drawn from a normal population with mean 15 and standard deviation 22.…

A: Sampling distribution of sample mean: If the population is normally distributed then the sampling…

Q: 1) Assume the gas mileage for a car is normally distributed with a mean of 20.0 miles per gallon and…

A: We hvae to find given probability..

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5 find P(X…

A: Solution:From the given information, normal distribution with population mean as 35 and standard…

Q: Suppose a nomal distribution has a mean of 50 and a standard deviation of 3. What is Aes 47y OA 0.16…

A: Given that a normal distribution has a mean of 50 and a standard deviation of 3. That means μ=50 and…

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

A:

Q: What is the probability that a randomly selected individual with an MBA degree will get a starting…

A: Given:  Let x be the starting salary of individual from normal distribution with mean u= $40000 and…

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: The duration of an NBA basketball game during the 2019-20 season is normally dis- tributed with the…

A: Solution: 4. Let X be the duration of an NBA basketball game during the 2019-2020 season. From the…

Q: Suppose that people heights (in centimeters) are normally distributed, with a mean of 170 and a…

A:

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: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A: X follows a Normal distribution with mean = 100 and S.D = 10 Then z=(x-mean)/SD = (x-100)/10…

Q: Suppose that the percentage of defective items on a certain production line is 15%. Draw 8 items at…

A: Given ,n=8p=0.15X=no.of defective itemsX~Binomial(n=8 , p=0.15)P(X=x)=cxn  px (1-p)n-x  ;…

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

A: Let X be the random variable from normal distribution with mean (μ) = 100 and standard deviation (σ)…

Q: Suppose samples of size 100 are drawn randomly from a normal population that has a mean of 20 and a…

A: Solution: Let X be the random variable. From the given information, X follows normal distribution…

Q: 1. The average grade of 2nd year students majoring in Civil Engineering is normally distributed with…

A: NOTE- AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY      Here Given For  Civil…

Q: Consider a puzzle is created where the amount of time it takes an individual to solve the puzzle…

A:

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

A: According to the provided information, Mean (μ) = 3.2 Standard Deviation (σ) = 0.3

Q: a population has a normal distribution with a mean of 50 and a stadnard deviation of 10. if a random…

A: Given,mean(μ)=50standard deviation(σ)=10sample size(n)=9

Q: A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be…

A:

Q: Suppose that the mean and standard deviation of plants height are 130 and 42, respectively, if a…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 130, standard…

Q: Given a population where p = 0.10, find the standard deviation of the samping distribution when n =…

A:

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10, w hat is the…

A: Let X be the random variable and it follows the normal distribution with mean μ and standard…

Q: The random variable, x, has a normal distribution. How many standard deviations above the mean must…

A: Given The random variable, x, has a normal distribution.

Q: Suppose that quiz scores in a beginning statistics class have a mean of 7.67.6 with a standard…

A: Given data ,Mean μ=7.6S.Dσ=0.5What is min % b/w 6.1 and 9.1 ?

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

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A:

Q: In a given year, the average annual salary of an NFL football player is $189,000 with a standard…

A:

Q: The average drive to work is 9.6 miles. Assume the standard deviation is 1.8 miles. If a random…

A: From the given information, x¯=9.6σ=1.8n=36

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

A: Let "X" be the raw score.

Q: The volume of cracker boxes are normally distributed, with a mean of 7 oz and a standard deviation…

A: It is given that:

Q: Assume that the heights of adult puffins are normally distributed, with a mean of u = 16.1 inches…

A: According to our guidelines we can solve only the first three-part of the question. ize (n) = 16

Q: The monthly In distributed, with mean of $100 standard deviation of $13. Find the probability that a…

A:

Q: 3. Assuming you obtained a random sample of blood glucose levels from 32 individuals from a…

A: It is given that the glucose levels are normally distributed with mean 120 and standard deviation of…

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

A:

Q: 12. The heights of male high school students are normally distributed with mean of 64 in and a…

A: From the provided information, Mean (µ) = 64 Standard deviation (σ) = 3.2 X~N (64, 3.2) Here X be a…

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

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

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A: Given data,μ=100σ=10P(X<81)=?

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A:

Q: If the value of goods declared by all Canadians returning to Canada at the Pigeon River border…

A: According to guidelines we solve first question when given questions are different.

Q: The average operating life of a popular brand of tablets is know to be 2000 days, with a standard…

A: Comment: As per the our company guidelines we are supposed to answer only three subparts. Kindly…

Q: The volume of cracker boxes are normally distributed, with a mean of 7 oz and a standard deviation…

A: Obtain the standard z-score for  equals 6.5. The standard z-score for equals 6.5 is obtained below:…

Q: Suppose that the mean and standard deviation of plants height are 130 and 32, respectively, if a…

A:

Q: The mean is µ = 15.2 and the standard deviation is Η = 0.9. Find the probability that X is between…

A:

Q: Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find:…

A:

Q: The volume of cracker boxes are normally distributed, with a mean of 7 oz and a standard deviation…

A: It is given that:

Q: For a normal distribution with a mean of 160 and a standard deviation of 10, what are the values…

A: Solution