Scores are normally distributed with a mean = 360 and standard deviation = 60. If a random sample of size 144 is chosen, what is the probability that the sample mean is less than 357?

Q: The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard…

A:

Q: The average height of flowering cherry trees in a nursery is 10.5 feet.  If the heights are normally…

A: Mean = 10.5 Standard deviation = 1.5

Q: Temperatures in a city are distributed approximately normal, with a mean of 80 degrees fahrenheit…

A: Given here, Temperatures in a city are distributed approximately normal, with a mean of 80 degrees…

Q: X is normally distributed with mean 500 and standard deviation 20

A: It is given that the X is normally distributed with mean 500 and standard deviation 20. So,…

Q: The random variable X has a uniform distribution with values between 11 and 21. What is the mean…

A:

Q: The numerical population of grade point averages at a college has mean 2.61 and standard deviation…

A: Given,sample size(n)=100sample mean(μ)=2.61standard deviation(σ)=0.5

Q: If a normal distribution has a Mean of 26 and a Standard Deviation of 3.1. Find the probability of a…

A: The normal distribution: A continuous random variable X is said to follow normal distribution with…

Q: Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509…

A:

Q: The average daily high temperature in June in LA is 77℉ with a standard deviation of 5℉. Suppose…

A: Solution: Let X be the LA’s temperatures in June. From the given information, X follows normal…

Q: A random sample of size 36 is taken from a population that is normal. Given that the population mean…

A: Answer- A random sample of size n =36 is taken from a population that is normal.               Given…

Q: It has been observed that a random variable follows a normal distribution with a mean of 80, and a…

A:

Q: The daily price in dollars per metric ton of cocoa in 2007 was normally distributed with mean $2,014…

A:

Q: Blood glucose levels are normally distributed with a mean of 85 mg/dl and a standard deviation of 25…

A: Answer: Given that:   ‘x’ is Normally distributed with                 Mean  µ =85       standard…

Q: Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509…

A: a).Given, The required probability is obtained as- Therefore, the required probability that the…

Q: The distribution of annual returns on common stocks has a mean of 9 percent and a standard deviation…

A:

Q: The marks on a statistics midterm test are normally distributed with a mean of 78 and a standard…

A:

Q: A normal distribution has a mean of µ = 70 with σ = 12. If one score is randomly selected from this…

A: According to the provided information,

Q: Heights of children are approximately normally distributed at each age and gender. If the mean…

A:

Q: Body temperatures of adults are normally distributed with a mean of 98.60◦ F and a standard…

A: Given that body  temperatures of adults are normally distributed with a mean of 98.60◦ F and a…

Q: Scores on a certain standardized test have a mean of 500, and a standard deviation of 50. How common…

A: Given: Meanμ=500 Standard Deviationσ=50 The probability that the score is between 350 and 400 is…

Q: The average height of a certain age group of people is 53 inches. The standard  deviation is 4…

A:

Q: Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509…

A: Let "X" be the scores for men on the verbal portion of the SAT-I test. Draw the normal curve and…

Q: A normal distribution has a mean of 150 and a standard deviation of 50. Calculate the probability we…

A: Mean = 150 Standard deviation = 100

Q: A normal distribution has a mean 80 and standard deviation is 10. What is the probability of…

A: Given:    µ = 80     σ = 10

Q: Suppose x,the grade on a midterm exam,is normally distributed with mean 70 and standard deviation…

A:

Q: Heights of men are normally distributed with a mean of 68.5 in and a standard deviation of 2.4 in.…

A: Given that, Heights of men are normally distributed with a mean of 68.5 in and a standard deviation…

Q: a random variable is normally distributed with a mean of 50 and a standard deviation of 5 What is…

A: Given information Mean(µ) = 50 Standard deviation(σ) = 5 probability that the random variable will…

Q: Birth weights are distributed normally, with a mean of 3.39kg and a standard deviation of…

A: z-score for sample mean: z=x¯-μσn where,  x¯-sample meanμ-population meanσ-population standard…

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: IQ is normally distributed with a mean of 100 and a standard deviation of 15.  When selecting…

A:

Q: The amount of coffee in a can has a mean of 350g. The standard deviation is 5g. Use the normal…

A:

Q: A normal distribution has a mean of 34 and a standard deviation of 4. Find the probability that a…

A: Given information- Population mean, μ = 34 Population standard deviation, σ = 4 Now probability is-…

Q: The numerical population of grade point averages at a college has mean 2 and standard deviation…

A:

Q: Random samples of a Gaussian distribution will fall within two standard deviations of the mean with…

A: Concept:  68% of the data is within 1 standard deviation (σ) of the mean (μ), 95% of the data is…

Q: The average age of managers is 40 years. Assume the variable is normally distributed. If the…

A: Given data,μ=40σ=5P(35<X<46)=?

Q: Americans spend an average 12.2 minutes in the shower. If the standard deviation of the variable is…

A:

Q: The tip percentage at a restaurant has a mean value of 18% and a standard deviation of 2%.…

A:

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

A:

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

A: Given,sample size(n)=20mean(μ)=43standard deviation(σ)=8

Q: Annual precipitation in a certain city is normally distributed with a mean of 99 inches, and a…

A: Given: standard deviation(σ) = 18 inches sample size(n) = 35 population mean(μ) = 99 inches

Q: The scores of an examination are assumed to be normally distributed with mean of 75 and variance of…

A:

Q: Find the probability that the height of a single randomly chosen man is less than 69 in.

A: Nomal distribution is also known as the Gaussian distribution . It is widely used in statistics .

Q: A population has a mean of 90 and a standard deviation of 10. A sample of 100 observations will be…

A:

Q: Men's weights are normally distributed with a mean of 189 pounds and a standard deviation of 39…

A: The probability that the when 25 men is load on the water taxi their weight will exceed the load…

Q: The random variable X has a uniform distribution with values between 13 and 21. What is the mean?…

A: Given,A random variable X~U(a=13 , b=21)f(x)=1b-a; a≤x≤bf(x)=121-13f(x)=18  ;  13≤x≤21

Q: A normal distribution has a mean of 31 and a standard deviation of 6. Find the probability that a…

A: Answer 1: Given: The curve represents the X lies between the values 25 and 37. Calculate the…

Q: Men’s heights have a mean of 174 cm and a standard deviation of 6.1 cm, and are normally…

A:

Q: The life expectancy of a vital and expensive part of a machine is normally distributed with a mean…

A: Given: X~N(μ,σ)μ=50σ=16

Q: Suppose that X is normally distributed with a mean 90 and standard deviation of 28. A. What is the…

A:

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.