The exam scores of 200 students are distributed normally with a mean of 72 and a standard deviation of 10. Find the number of students with scores between 72% and 82%.

Q: On a standardized test, scores are normally distributed with a mean of 400 and a standard deviation…

A: Given data,μ=400σ=80P(X<x)=80%=0.80x=?

Q: The scores on a psychology exam were normally distributed with a mean of 50 and a standard deviation…

A:

Q: A population data set has a mean of 81 and a standard deviation of 5.2. Find the z-scores for each…

A: Population mean, μ=81 population standard deviation, σ=5.2 The formula of z-score is, z=x-μσ…

Q: Assume that the mathematics score on the SAT are normally distributed with a mean of 500 and a…

A: Given

Q: if heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard…

A:

Q: Given a distribution with a mean of 60 and standard deviation of 21, find a value with a z-score of…

A: Introduction:Consider X as a normally distributed random variable, with mean μ and standard…

Q: The number of minutes spent reading in one day is normally distributed with a mean of μ = 23 and a…

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

Q: A set of test papers is normally distributed with a standard deviation of 5. If Riley scored an 83…

A:

Q: If the height of 1000 students in a University Campus closely follows a normal distribution with a…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days…

A: From the given Information, Let X represent the length of pregnancies in a small rural village and…

Q: . Given a distribution with a mean of 60 and standard deviation of 21, find a value with a z-score…

A:

Q: Scores on a recent national statistics exam were normally distributed with a mean of 80 and standard…

A: Obtain the standard z-score for X equals 89 The standard z-score for X equals 89 is obtained below:…

Q: Students at Arrowhead High School took an English test with a mean of 120 and a standard deviation…

A: Let X be a random variable of normal distribution with mean 120 and standard deviation 25.  Let Z be…

Q: 1. On a final examination in Mathematics, the mean was 76 and the standard deviation was 5.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: the mean weight of a group of boys is 145 lb, with a standard deviation of 4lb. if the weights are…

A:

Q: If the mean exam score of a class was 75%, with a standard deviation of 15%,what percent of students…

A: Given,mean(μ)=0.75standard deviation(σ)=0.15

Q: The grades on a test follow a normal distribution with a mean mark of 70 and a standard deviation of…

A:

Q: 95% of 80 night students scored between 70% and 80% on a quiz. If this data is normally distributed,…

A: Given: Total number of students n=80.             let X  denote the marks of students then,  X ~N(µ,…

Q: In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a…

A: Given, Mean = μ =25SD = σ =4

Q: A candy store sells about 8 million pieces of candy per day with a standard deviation of 300,000…

A: Given : Let X : Number candy that they sell in a given day           μ = 8 million i.e   Mean (μ) =…

Q: When Lauren runs the 400 meter dash, her finishing times are normally distributed with a mean of 88…

A:

Q: Given a distribution with a mean of 70 and a standard deviation of 62, find a value with a z-score…

A:

Q: A pediatrician obtains the heights of her 200 three-year-old female patients.  The heights are…

A: It is given that the height of female patients is normally distributed with mean 37.8 inches and…

Q: For a sample of raw scores, you calculate a mean of 15.25 and a standard deviation of 3.19. What is…

A: Introduction:Suppose a random variable, X has sample mean, x̅ and sample standard deviation, s.For a…

Q: Consider a sample with a mean of 500 and a standard deviation of 100. What are thez-scores for the…

A: Introduction: Consider X as a normally distributed random variable, with mean μ and standard…

Q: The scores on a marketing exam were normally distributed with a mean of 67 and a standard deviation…

A: Given data normally distributed with mean (μ) =67, standard deviation (σ) =9.Let ‘X’ be a normal…

Q: A set of data items is normally distributed with a mean of 60. Convert the data item to a z -score,…

A: Solution: z-score for given data item is 1.

Q: For a sample of 18 cars, you find the standard deviation of the price is 6150. What is the standard…

A: Given: Sample size=n=18,Standard deviation=σ=6150.

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 62…

A: Given: μ=62 minutesσ=18 minutes

Q: In an all boys school, the heights of the student body are normally distributed with a mean of 69…

A:

Q: All the houses in Stanton county have a mean size of 1650 square feet with a standard deviation of…

A:

Q: If the weekly grocery expenditure of households in a certain urban market is known to be normally…

A:

Q: Assume that the test scores from a college admissions test are normally distributed, with amean of…

A:

Q: The average income of a graduate from the University of Eastern West Virginia is $50,000 per year,…

A: X follows a Normal distribution with mean = 50000 and S.D = 2500 Then z=(x-mean)/SD =…

Q: Given a distribution with a mean of 117 and standard deviation of 42, find a value with a z-score of…

A: Consider that X is a random variable and the given distribution follows normal distribution mean 117…

Q: A z-score of +1.6 represents a value which is how many standard deviations above the mean?

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 263 days…

A: Solution-: Given: μ=263 days, σ=13 days We want to find what range would you expect to find the…

Q: Books in the library are found to have an average length of 350 pages with a standard deviation of…

A: Given that, Books in the library are found to have an average length of 350 pages with a standard…

Q: The height of men in the United states fits with a normal distribution with a mean of 70 inches and…

A:

Q: the mean weight of a group of boys is 145 lb, with a standard deviation of 5lb. if the weights are…

A: We have to find correct answer..

Q: The heights of male students are normally distributed with a mean of 170 cm and a standard deviation…

A: The heights of male students are normally distributed with a mean of 170 cm and a standard deviation…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 263 days…

A:

Q: The distribution of heights of adult American men is approximately normal with a mean of 69 inches…

A: Let, X=the heights of adult American men Given that X follows a normal distribution with mean=69 and…

Q: The scores of students on an exam are normally distributed with a mean of 193 and a standard…

A:

Q: The gas mileage for a new model of car is normally​ distributed, with a standard deviation of 3.5…

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

Q: If a normally distributed group of test scores have a mean of 70 and a standard deviation of 12,…

A: It is given that the mean is 70 and the standard deviation is 12.

Q: The mean salary of all employees in a company is $3,485, and the standard deviation is $1,870. Find…

A:

Q: According to a recent survey, the salaries of assistant professors have a mean of $41,750 and a…

A:

Q: A mean of 200 and a standard deviation of 50. Find P60, the score which separates the lower 60% form…

A:

Q: In a distribution with a mean of 80 and a standard deviation of 8, what percentage of number would…

A: a. The mean is 80, and standard deviation is 8. The percentage of number would be less than 64 or…

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.