(a) Can a normal distribution be used for the p distribution? Explain.

Q: Explain Student t distribution & F distribution?

A: Student t distribution: Shape of a student’s t distribution is bell shaped curve with mean zero and…

Q: Bivariate normal distribution an assumption for the Pearson Correlation?

A: For the purpose of evaluating the intensity of linear relationship between two variables, we do not…

Q: Describe the standard normal distribution. What are its characteristics?

A: Standard normal distribution curve is given.

Q: State the properties of s normal distribution.

A: Normal distribution- when mean is 0 and standard deviation is  1 is called standard normal…

Q: Scenario: A researcher gathers information on retirement age to see if it is different than 65…

A: given data, claim: μ≠65n=34X¯=64.8S=10

Q: Which of the four sets of data represents a normal distribution? O { 10, 12, 13, 13, 13, 14, 16} O…

A:

Q: rue of False? As the sample size of randomly selected samples increases, the distribution of the…

A: The statement is given.

Q: Search and describe the main feature of the t-Distribution (or Student distribution).

A: The t-distribution also known as Students' t-distribution is a continuous probability distribution.…

Q: True or false The mean and variance of a Poisson distribution are same

A: Poisson distribution X~Poisson(λ)

Q: True or False? The 5% lower quantile of a t-distribution is LESS than the 5% lower quantile of a…

A: Introduction: Suppose X is a random variable, and x0.05 is the 5% lower quantile, that is, the 5th…

Q: Describe the difference in shape between a beta(shape1 = 2, shape2= 10) distribution and a…

A: Given:-       β12,10   and   β210,2 we have to find the mean,skew and interquartile ranges of both…

Q: When figuring probabilities for a normal distribution why is it necessary that we must convert to a…

A: For figuring out the probabilities for a normal distribution,whatever the parameters might be,we…

Q: Differentiate the different distributions 1. Normal 2. t-distribution

A:

Q: Explain the Normal Distribution? Also Define normal distribution for a single variable?

A:

Q: What type of data could possibly follow a Normal distribution? O Binary O Qualitative Discrete…

A: According to the given information,  Normal distribution is used.

Q: Use the normal distribution to the right to answer the questions. Standardized Test Composite Scores…

A: Given μ = 19.7 and σ = 5.1 Let X ~ N( μ = 19.7, σ = 5.1)

Q: how do you work this out

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

Q: Identify if its true or false A normal distribution is symmetrical at the mean, i.e. the left side…

A:

Q: What are the shapes of these distributions? Are they symmetric, left, or right skewed? Are there any…

A: The box plot for the distribution of the gestation period of women who smoke and who do not smoke is…

Q: What are the shapes of these distributions? Are they symmetric, left, or right skewed? Are there any…

A: 1. From the given box plot we see that the shapes of the given distribution is symmetric as area…

Q: examples of a normal distribution questions.

A: 1)

Q: Ques45)The first and third quartile of a normal distribution respectively. Then distribution is the…

A:

Q: Explain the normal distribution, the Z-score, and the central limit theorem.

A:

Q: Describe the difference in shape between a gamma(shape = 5, rate= 10) distribution and a beta(shape…

A: Given:- γα=5,λ=10    and    βa=10,b=5   we have to find mean,skew and interquartile range

Q: Nonparametric test is a design to counter the non-normal distribution type of data. O True

A: Nonparametric test: The nonparametric tests are used if the population distribution is not known.…

Q: What does the Empirical Rule say? Can you use the Empirical Rule for ALL probabilities in a normal…

A: 1. What does the Empirical Rule say? 2. Can you use the Empirical Rule for ALL probabilities in a…

Q: Using the Standard Normal Distribution Table, what proportion of individuals fall ABOVE a z-score of…

A: Given:The z score is above +2.22.

Q: Define the chi-squared distribution?

A:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!