According to the Department of Education, 60% of college students enjoy taking Statistics. Suppose 200 college students are sample and you record the number of students who enjoy taking Statistics. Find the mean and standard deviation for the random variable, X, the number of students who enjoy taking Statistics in a sample of 200.

Q: In a series of 5 observations, the values of mean and variance are 4.4 and 8.24. If three…

A: It is given that the mean and standard deviation are 4.4 and 8.24.

Q: A group of students wrote an entrance Math exam and the scores were normally distributed. The mean…

A: The scores were normally distributed with mean 750 and standard deviation 95 μ=750σ=95 Z-score is…

Q: a history class has 75 members. if there is a 12% absentee rate per class meeting, find the mean and…

A:

Q: The university campus has a record of temperatures in recent years, which have a mean of 25.5…

A: To test whether the data follows normal distribution or not, let us consider Chi-square test for…

Q: When I am taking a Simple Random Sample, what do I do if say I take 23 samples from a range of 93…

A: The random number table is used to obtain the sample random sample which provides each member of the…

Q: Suppose we would like to know the difference between the true proportion of females and males who…

A: The z- test for two sample proportions can be defined as a statistical technique that can be used to…

Q: You take a random sample of size 25 students and find the 5 who understand this lecture. With 99%…

A:

Q: If each score is increased by 25, what will be the mean and standard deviation of the distribution…

A: Given that  The distribution of raw scores on particular achievement test Mean = 500 Standard…

Q: What is the probability of getting a sample mean between 500 and 520 if the population mean is 500…

A: The population mean is 500 and the standard error of the mean is 20.The probability of getting a…

Q: In a normal PD, the mean equals 1100 and the standard deviation equals 80. If you choose a sample of…

A:

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: A simple random sample of 28 observations was taken from a large population. The sample mean equaled…

A: It is given that, a simple random sample of 28 observations was taken from a large population with…

Q: Find standard deviation of each sampling distribution

A: here  given, According to a gallup survey of boys 77% of boys had played computer games in the past…

Q: Seventy-four percent of Americans favor spending government money to develop alternative sources of…

A:

Q: The sum of the squared deviation scores, aka the sum of the squares, is SS=60 for a sample of n=5…

A:

Q: There are only 4 teams in a league. The winning percentages of the teams are given as follows:…

A:

Q: It is often quoted that in a normal distribution, 95% of the data lies 1.96 deviations either side…

A:

Q: A sample with a mean of  8 has ∑ x = 72. How many scores are in the sample?

A:

Q: The college physical education department offered an advanced first aid course last semester. The…

A: Given Information: The scores on the comprehensive final exam were normally distributed, and the  z…

Q: Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard…

A: Given:  Let n represents the number of students in the class (n=100). Let p represents the…

Q: How would you find the standard deviation by hand, of the following numbers: 1,1,3,01,6,2

A: Standard deviation:Standard deviation quantifies the dispersion of a data set from its mean. The…

Q: Suppose that for a random sample , the mean is 4 and the coefficient of variation is 87.5 % then the…

A:

Q: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: In statistics, variance is the average squared distance of each data points from the population…

Q: The standard deviation of the scores on a skill evaluation test is 290 points with a mean of 1286…

A: We have to find given Probability.

Q: If you go out 3 standard deviation units on both sides of the mean in a normal distribution, what…

A: Empirical rule (68-95-99.7 rule): About 68% of data lies within the first standard deviation of the…

Q: Suppose that insurance companies did a survey. They randomly surveyed 450 drivers and found that 310…

A: Number of drivers who claim that they always buckle up, x=310. Number of drivers who were surveyed,…

Q: A distribution has a mean of 75 and a median of 70. This distribution is probably positively skewed

A:

Q: A population has µ = 50 and o - 5. If 10 points are added to every score in the population, what are…

A:

Q: For a set of data, μ = 71, X=35, z = -0.60. What is the standard deviation of the population?

A: Given that.   X~N( μ , ?^2 )   μ=71   , ?=?  , X=35 , z=-0.60   Z-score =( x - μ )/?

Q: The mean of a normal probability distribution is 600; the standard deviation is 20. About 95% of…

A: GivenMean(μ)=600standard deviation(σ)=20

Q: The sampling distribution of the mean will have the same mean as the original population from which…

A:

Q: A sample of 30 distance scores measured in yards has a mean of 7, a variance of 16, and a standard…

A: Given statistics:Consider the variable x represents the distance scores in yards.The given…

Q: A school board would like to determine whether there is a difference in average SAT scores for…

A: Paired data is used when experimental Unit is same on which two different treatment are apllied

Q: Alex wonders if the same proportion of people are left-handed in the United States and Canada. He…

A: Provided information, Alex wonders if the same proportion of people are left-handed in the United…

Q: What is the value of the variance if the mean of a frequency distribution is 100 and the coefficient…

A:

Q: In a normal PD, the mean equals 1100 and the standard deviation equals 80. If you choose a sample of…

A: Solution: Let X be the random variable. From the given information, X follows normal distribution…

Q: You hypothesize that 75% of physics students are guys. You take a random survey of 12 physics…

A: In order to determine, whether the percentage of guys is different from 75%, or proportion of guys…

Q: The CEO of an airline estimates that 15% of all flights arrive late. How many flights must he…

A: Given Information: Proportion p=0.15 Confidence level = 96% = 0.96 Significance level α=1-0.96=0.04…

Q: On a multiple choice test with 10 questions, each question has four possible answers, one of which…

A:

Q: Alex wants to find out: if the standard deviation of the mean for the sampling distribution of…

A: Solution: given standard deviations of sample s1=9. fir sample size n1=256  Then what will be the…

Q: A population has a mean of 45 If 6 points are added to each score What is the mean for the…

A:

Q: A telecommunications company knows that 90% of their customers own smart phones. Ten customers are…

A: Let "X" be the customers who own smartphones. The variance of the binomial distribution is given by

Q: The Variance for a set of scores is 36, what is the standard deviation, what is the range?

A: Given, variance = 36Therefore,  Standard deviation = square root of variance…

Q: The A.C Nielsen company reports that about 85.5% of U.S households have a color T.V. Find the mean…

A: The mean number of households have a color T.V is, μ=np=6×0.855=5.13 Thus, the mean mean number of…

Q: In most cases, if you have the variance, how do you compute standard deviation?

A: We have the variance, how do you compute standard deviation.  We use here the formula of variance to…

Q: If a distribution is normal with μ = 60 and σ = 15, what proportion of the scores fall between 60…

A: If X~N(μ,σ2), then Z=X-μσ is called the standard normal variate. The mean and variance of a standard…

Q: The mean of the distribution of sample means would be equal to:

A: The mean of the distribution of sample means would be equal to ?

Q: The mean of small dogs is 4.1 and the standard deviation is .9, what is the probability of choosing…

A: The weight of the small dogs is the continuous data. Let X be the weights of the small dogs which…

Q: The mean of the test is 89 with a standard deviation of only 4. How likely (what probability) is…

A: Consider,Mean (µ) = 89Standard deviation (σ) = 4

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.