In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.6 inches, and standard deviation of 6.6 inches. What is the probability that the height of a randomly chosen child is between 58.7 and 64.1 inches? Do not round until you get your your final answer, and then round to 3 decimal places.

Q: What is the probability that a first grade classroom of 20 students who are chosen randomly from the…

A: Given Information: Mean μ=100 Standard deviation σ=15 Sample size n=20

Q: Five hundred children participated in a field demonstration. Their heights averaged 110cm with a…

A:

Q: a division wide aptitude test in mathematics was conducted to 1000 students. the mean of the test is…

A: Given : No. of students : Sample size (n) = 1000 Let X : Scores in aptitude test in mathematics…

Q: The amount of annual snowfall in a certain mountain range is normally distributed with a mean of 70…

A: The provided information are: Population mean (μ) = 70 Population standard deviation (σ) = 10…

Q: A soft drink machine outputs a mean of 27 ounces per cup. The machine's output is normally…

A: Given,Mean, μ = 27 ounces.Standard deviation, σ = 3 ounces.Let X be a random variable represents the…

Q: A soft drink machine outputs a made of 28 ounces per cup. The machines output is normally…

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

Q: Scores for a standardized test are normally distributed with a mean of 1200 and a standard…

A: given data μ = 1200σ = 60 normal distributionn = 64P(1200<x¯<1214) = ?

Q: The amount a household spends on groceries per week is normally distributed with a mean of $250 and…

A: given data, normal distributionμ=250σ=45n=121probability the sample mean spent on groceries per week…

Q: Tiger Woods hits an average driver 287.2 yards with a standard deviation of 24.6 yards. What is the…

A: The probability value is calculate by means of standard normal variate with the random variable,…

Q: An electrical firm manufactures light bulbs that have a length of life that is normally distributed…

A: According to the given information, we have Mean = 819 hours Standard deviation = 45 hours

Q: The mean height of male college students in a large city is 68 inches and the standard deviation is…

A: Solution

Q: On the Gulf Freeway at 7:00 AM, the average travel time from Beltway 8 to Downtown is 29.5 minutes…

A: We have given that the random variable X i.e. travel time is normally distributed with average(mean)…

Q: the distribution of heart rates for women ages 20-39 is approximately normal with a mean of 73 beats…

A: The mean is 73 and the standard deviation is 15.9.

Q: The height of American women ages 18 and 29 are normally distributed with a mean of 64.3 inches and…

A: Given:The height of American women ages 18 and 29 are normally distributed with a mean of 64.3…

Q: When Noah goes bowling, his scores are normally distributed with a mean of 135 and a standard…

A: Let X be the Noah goes bowling, his scores are normally distributed  mean μ=135, standard deviations…

Q: Trucks in a delivery fleet travel a mean of 130 miles per day with a standard deviation of 39 miles…

A: The data on per day mileage of a delivery truck is normally distributed. Population mean, Population…

Q: The mean of a test is 400 and the standard deviation is 75. It is normally distributed. A sample of…

A: 1] Mean μ=400 2] standard deviation σ=75 3] n=25 4] μx¯=400σx¯=σn=7525=15

Q: The population mean is 20 inches and population standard deviation is 4 inches. A random sample of…

A: mean = 20 s =4

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: A recent study revealed that 49% of adult Americans believe human activity contributes a great deal…

A:

Q: The average credit card debt for college seniors is $3262. If the debt is normally distributed with…

A: Let X be the random variable from normal distribution with mean (μ) = $3262 and standard deviation…

Q: A final exam in Science 150  has a mean of 80 with a standard deviation of 8. If 25 students are…

A: Given: μ = 80 σ = 8 n = 25

Q: A newly-hired school registrar in a Science High School would like to determine the overall…

A:

Q: amount of money an American spends on Holiday presents is normally distributed with a mean of $650…

A: given data, normal distributionμ=$650σ=$80probability that a randomly selected American spends less…

Q: soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed…

A: Suppose the random variable x defines the soft drink machine output.

Q: The life of light bulbs is distributed normally. The mean life time of a bulb is 520 hours and the…

A: Answer: Using the given data, Let X represent the life time of a light bulb X follows normal…

Q: A soft drink machine outputs a mean of 26 ounces per cup. The machine's output is normally…

A: From the provided information,

Q: The time until recharge for a battery in a laptop computer under common conditions is normally…

A:

Q: The amount of money an American spends on Holiday presents is normally distributed with a mean of…

A: Given Mean=650 Standard deviations=80

Q: The ACT math scores of a particular high school in New Jersey are approximately normally…

A: Given data, σ=100P(200<X<800)=0.997By using emperical formula99.7% of data lies within μ-3σ…

Q: hompop f 1 1,220 2 1,563 3 716 4 590 Total 4,089 응 29.8% 38.2% 17.5% 14.4% 99.9% c.f C.% 1,220 29.8%…

A: hompopf%c.fc.%1122029.8%122029.8%2156338.2%278368.0%371617.5%349985.5%459014.4%408999.9%4089

Q: Trucks in a delivery fleet travel a mean of 8080 miles per day with a standard deviation of 3030…

A:

Q: A racing car consumes a mean of 103 gallons of gas per race with a standard deviation of 6 gallons.…

A:

Q: The weight of all 5 pound bags of flour is Normally distributed with mean 5 pounds and standard…

A: Solution: Let X be the weight of all 5 pound bags of flour. From the given information, X follows…

Q: TV sets: According to the Nielsen Company, the mean number of TV sets in a U.S. household in 2013…

A: given  mean μ=2.24 standard deviation σ=1.2 n=80

Q: find the probability that the mean time of a sample of 15 Americans who shower will be less than 12…

A:

Q: If the gondola is filled with 25 randomly selected​ skiers, what is the probability that their mean…

A: Mean = 180 Standard deviation = 44 Sample size = 25

Q: The latest available data showed health care spending were $8086 per person in the United States…

A: Givenpopulation mean = $8086population standard deviation = $2500sample size = 100Health care…

Q: Assume that people playing World of Warcraft in a week has a normal distribution with a mean of 54…

A: The probability that a randomly selected person played more than 89 hours is obtained below, From…

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.