The weight of a 10 year old girl is normally distributed with a mean of 80 pounds with a standard deviation of 6 pounds. What is the probability that the average weight of a group of sixteen 10 year old girls is less than 77 pounds?  Suppose an elevator has a maximum weight allowance of 700 pounds. If nine 10 year old girls get on this elevator, what is the probability their total weight is over the maximum allowance?

Q: If the daily wage of a worker in a large factory has an average of 180 usd, the standard deviation…

A: Given: mean: 180 usd, standard deviation: 5 usd, n = 75.The required probability is…

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: From the provided information,Mean (µ) = 162000Standard deviation (σ) = 36000Sample size (n) = 58

Q: . What is the probability that the student will get into a college whose entrance score is 550?

A:

Q: The National Health and Nutrition Examination Survey (NHANES) reported that in a recent year, the…

A:

Q: The test scores in a class are normally distributed with a mean score of 77. if the standard…

A: The distribution of test score are normally distributed with mean of 77. Now consider the standard…

Q: The distribution of scores for the third exam in a statistics course has a mean of 74 and a standard…

A: Given Information: Mean, μ=74 Standard Deviation, σ=15 Sample Size, n=36

Q: The typical American adult eats an average of 48.5 hamburgers in a year. Assume the number of…

A: The information provided in the question are as follows :- The average number of hamburgers eaten by…

Q: Working in the garden pulling weeds/planting flowers burns an average of 200 calories per hour. If…

A: given data μ=200σ=9normal distribution P(200<x<225)=?

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: outhern Ocean food web, the krill species Euphausia superba is the most important prey species for…

A: given data, normal distributionμ=40σ=12n=4p(x¯>49)=?

Q: The National Health and Nutrition Examination Survey (NHANES) reported that in a recent year, the…

A: Given information Mean (µ) = 202 Standard Deviation (σ) = 42 Sample size (n) = 49   Z score is given…

Q: Suppose that the distribution of touchdown passes (in football) is normally distributed with a mean…

A:

Q: Working in the garden pulling weeds/planting flowers burns an average of 200 calories per hour. If…

A: It is given that  Mean, μ = 200 Standard deviation, σ = 9 Z-Score, Z = ( X - μ )/σ

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: μ=129, σ=28.5n=31x¯1=120, x¯2=181

Q: A factory plant is studying the number of accidents per month. The table below gives the…

A: Note: Hey there! Thank you for posting the question. However, since your question has more than 3…

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: A bank's loan officer rates applicants for credit. The rating are normally distributed with a mean…

A: From the given information,   Mean = 705 Standard deviation = 32 Sample size = 50

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: The scores on a test are normally distributed with an average (mean) of 72 and a standard  deviation…

A: As per our guidelines we are suppose to answer only three sub parts . Mean(μ)=72Standard…

Q: According to data released by New Town Chamber of Commerce, the weekly wages of office workers have…

A: Sample mean=$750population mean=$723Standard deviation=$151sample size=57

Q: according to the government data the probability that a woman between the age of 25 and 29 was never…

A: Given, Probability that a women between the ages of 25 and 29 was never marries is 40%. i.e. p =…

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: The average time a person spends shopping in a grocery store is 43 minutes.  If the time is normally…

A: Given:  The average time a person spends shopping in a grocery store is 43 minutes.  The time is…

Q: On average, the fasting blood glucose for pregnant women is 80 with a standard deviation of 10. You…

A: Let X be the fasting blood glucose for pregnant women.Given, µ=80 and σ=10.

Q: The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A: GivenMean(μ)=6.04standard deviation(σ)=0.21Sample size(n)=33

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 160 has a mean of 73 with a standard deviation of 7.8. If 25 students are…

A: Given information- Population mean, µ = 73 Population standard deviation, σ = 7.8 Sample size, n =…

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: Dr. Brown wants to conduct a study on 144 college age student who drink at a local bar in town. The…

A: Sampling Distribution of a Normal Variable : Given a random variable X. Suppose that the population…

Q: The National Health and Nutrition Examination Survey (NHANES) reported that in a recent year, the…

A: Solution: Let X be the cholesterol level. From the given information, µ=202 and σ=42.

Q: ow that a random individual will fall between 107 and 103 .if the mean IQ is 100 the standard…

A: Consider a random variable X which represents IQ of the individual.    X follows normal distribution…

Q: A running back on the Spartans football team gains an average of 3.5 yards per carry with a standard…

A: Given : A running back on the Spartans football team gains an average of 3.5 yards per carry with a…

Q: According to a medical journal, the distribution of weights of newborn babies is approximately…

A: The objective of this question is to find the probability that a newborn baby will weigh more than…

Q: The sizes of houses in Kenton County are normally distributed with a mean of 1369 square feet with a…

A: From the given information, the mean and standard deviation are 1,369 and 171.

Q: The height of 10 year old females is normally distributed with a mean of 54.8 inches and a standard…

A: It is given that mean and standard deviation are 54.8 inches and 2.74 inches, respectively.

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.