A professor has found that the grades on the Statistics Final are normally distributed               with a mean of 68 and a standard deviation of 15. If only the best 14 % of the students              in the class will receive an A, what grade must a student obtain in order to get an A?

Q: For this set of data, the standard deviation (s) is equal to: 9, 8, 10, 5, 5, 2, 3, 6, 3

A: Mean:The formula for finding mean is shown below:

Q: The scores on a standardized test are normally distributed with a mean of 95 and standard deviation…

A: Formula : Let , mean = μ and standard deviation = σ The test score below 'a' standard deviation of…

Q: A 4 year college will accept any student ranked in the top 60% of a national exam. If the test…

A: From the given information,Mean (µ) =600Standard deviation (σ) = 100Let the test score be a x which…

Q: Suppose the scores on a statistics exam follow a normal distribution with a mean of 70 and a…

A: GivenMean(μ)=70standard deviation(σ)=10

Q: The gestation period for human births can be taken as normally distributed with a mean of 256 days…

A:

Q: In New York State, the population of teachers is known to have an average of 12.2 years of classroom…

A:

Q: Suppose that the distribution of the scores of students in Statistics Assignment 1 is roughly…

A: From the provided information, Mean (µ) = 85 Standard deviation (σ) = 5 X~N (85, 5)

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 scores on a standardized test are normally distributed with a mean of 95 and standard deviation…

A: Given that, The scores on a standardized test are normally distributed with, Mean = 95 Standard…

Q: Marine biologist at Nova Southeastern University spent three months on a research expedition tagging…

A: The given information is: For females,  Sample sizen1=142 Sample meanx¯1=68.3 Sample standard…

Q: What is the standard deviation of 32, 21, 17, 38 and 6.

A:

Q: A teacher says that the top 9​% of the class received an A on the last test. The scores were…

A: Given that the mean is 67 and the standard deviation is 18. That is, μ=67, σ=18 A teacher says that…

Q: It seems these days that college graduates who are employed full-time work more than 40 -hour weeks.…

A: From the provided information, Population mean (µ) = 40 hours Sample size (n) = 19 Sample mean (x̅)…

Q: A reading exam was conducted for 4thgrade children and 9thgrade children. The 4thgrade children have…

A: Given: For 4th grade children mean μ is 20 and standard deviation σ is 5. The mean of 9th grade…

Q: Suppose​ 18% of​ movie-goers say that horror is their favorite movie genre. If a random sample of…

A: Obtain the mean number of movie-goers that prefer horror movie genre. The mean number of movie-goers…

Q: Students receive an A+ on a 60 point test if they score 55 points or more.  The marks of a large…

A: Given: X~N(μ,σ)μ=50σ=5

Q: The admission committee of AUCA passes 61% of those who took the exam. If the scores follow a normal…

A: We have given that.   X~N( μ , ?^2 )   μ =350 , ? =25   Z-score =( x - μ )/?

Q: what percent of the students scored higher than 68?

A: It is given thatMean, μ = 70Standard deviation, σ = 3Z-Score, Z = ( X - μ )/σwhere, Z be the…

Q: It seems these days that college graduates who are employed full-time work more than 40-hour weeks.…

A:

Q: It seems these days that college graduates who are employed full-time work more than 40 -hour…

A: Given information- Population mean, μ = 40 Sample size, n = 19 Sample mean, x-bar = 44 Sample…

Q: Carla and Patrisse began arguing about who did better on their tests, but they couldn't decide who…

A: given data  carla: math testx1 = 77.7μ1 = 71.2σ1 = 10.1patrisse : english testx2 = 68.7μ2 = 64.1σ2 =…

Q: uppose the distribution of heights of a group of 200 children is normal with a mean of 150…

A:

Q: A businessman calculated the average price of variety A rice per kilo at ₱32.00 with a standard…

A: First calculate sample mean and sample standard deviation for rice B varieties using Excel

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Consider X be a random variable which follows normal distribution indicating the score earned on a…

Q: An economist would like to estimate the mean amount of money that a family spends to within $45. If…

A: GivenMargin of Error(E)-45standard deviation(σ)=190α=1-0.93=0.07α2=0.035zα2=1.8119      (from z…

Q: The heights of women in a particular community are normally distributed with a mean of 65 inches and…

A: We have to find given proportion..

Q: Pyramid Lake is en the Paiute andan Reservation in Nevada. The lake is famous for cuthreat trout.…

A: a)   Assume that μ is the true mean length of trout caught in Lake P.

Q: Suppose that the body temperatures for normal and healthy adults follow a normal distribution with…

A: Obtain the temperature that this clinic will consider it as fever. The temperature that this clinic…

Q: standardized test has a pop. mean of 152 and a standard deviation of 16. Jenny's z score is -0.56…

A: Given that Jenny's z score= -0.56, Nicole's z score=1.13

Q: Nationally the average score on the college entrance exams (Verbal test) is 453 with a standard…

A: Consider that μ is the population mean score. Null hypothesis: H0: μ = 453. Alternative hypothesis:…

Q: Out of a class of 25 students, 24 took an exam in class and got a mean of 74 points and a standard…

A: Given: Total number of students, n = 25            Number of students who gave the test, n' = 24…

Q: For woman at Hartford college, times to run 400 meters are normally distributed with a mean of 85…

A: Solution: Let X be the time to run 400 meters. From the given information, X follows normal…

Q: Give two situations in which comparing two population standard deviations would be important

A: Two situations in which comparing two population standard deviations would be important is obtained…

Q: seems these days that college graduates who are employed full-time work more than  40 -hour weeks.…

A:

Q: A researcher wants to know if men have a lower anxiety level than women in response to social…

A: a)To test:H0:μ1=μ2H0:μ1<μ2

Q: It seems these days that college graduates who are employed full-time work more than 40-hour weeks.…

A: Given data is appropriate for testing of hypothesis to test t-test for single mean. because it is a…

Q: ominic would want to estimate the mean of a population which is normally distributed. The standard…

A:

Q: The scores in an intelligent test (IQ test) are known to be normally distributed with a  mean of 100…

A: Let X be the score of an IQ test.Given that, X is known to be normally distributed with a mean of…

Q: tal of 82 Grade 11 students of ABC senior high school took the 60 item test in General mathematics.…

A: To find the normal distribution with the mean 42 and standard deviation 6

Q: It seems these days that college graduates who are employed full-time work more than 40-hour weeks.…

A: We have to test claim.

Q: A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what…

A: Given that mean=15 and standard deviation = 2 Let, X= number of hours spent by a student in the…

Q: Can the standard deviation of a data set be zero

A: Standard deviation can not be negative.

Q: Suppose the test scores in a class are normally distributed with a mean of 70 and a standard…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

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.