Explain the normal distribution, the Z-score, and the central limit theorem.
Q: In statistics, the term "error" refers to: the sampling distribution O random variation the standard…
A: "Error" in statistics usually refers to the difference between the predicted and the observed value…
Q: Why is the normal distribution so important? Answer Choices: Because the probability of getting a…
A: A normal distribution is a symmetric distribution in which most of the density of the data lies…
Q: Find the z-score boundaries that divide a normal distribution. The middle 25% from the 75% in the…
A: Solution: From the given information, 25% area lies in the middle of the normal distribution and 75%…
Q: A typical normal distribution table only provides positive or negative values. This is because a…
A: A typical normal distribution table only provides positive or negative values. This is because a…
Q: what is a standard normal distribution?
A: Since you have posted a multiple question, we will solve first question for you.
Q: What are the characteristics of a Normal distribution? right skewed left skewed O symmetric u-shaped…
A: Normal distribution is a continuous distribution.
Q: Describe the use of normal distribution, student's t distribution and chi square distribution for…
A: There are large number of probability distributions used in statistical applications. A…
Q: What is the special property of the standard normal distribution?
A: Standard normal distribution: The total area under the density curve is equal to 1.
Q: Explain how we can generate the values of the normal distribution of average m = 2 and standard…
A: Let X be a random variable such that X~N2,22 Now, using Excel,
Q: Explain the difference between binomial and normal distribution
A: It is asked to tell the difference between the binomial and normal distribution
Q: Define the mean, variance, skewness and kurtosis. What are the values of these in the normal…
A: Mean is the best measure of Central tendency. It is the average of a group of numbers. In other…
Q: 7. What are the values of u and o in the standard normal distribution?
A: (7) We have given that, What are the values of μ =? σ = ?, from the standard normal distribution.…
Q: Which is a correct description of the normal distribution? mean> median < mode mean = median = mode…
A:
Q: You cannot assume that a random sample taken from a population follows a normal distribution if the…
A: Answer:- Normal distribution:-
Q: Define and explain the relevance of kurtosis, skewness and standard deviation as descriptive…
A: Kurtosis It is measure of tailedness Skewness It is measure of symmetry SD It is measure of…
Q: Explain the Normal Distribution? Also Define normal distribution for a single variable?
A:
Q: What does a distribution represent?
A: A distribution nothing but function that represent the possible values for a variable and how often…
Q: Draw a normal distribution.
A: We know that the normal distribution, P( μ - σ < X < μ + σ ) = 68% P( μ - 2σ < X < μ +…
Q: What z-score value separates the highest 10% of the scores in a normal distribution from the lowest…
A: We want to find highest 10% value for z score
Q: What are the characteristics of a normal distribution? What two characteristics make a distribution…
A: Given that What are the characteristics of a normal distribution? What two characteristics make a…
Q: Find the 69th percentile of the standard normal distribution.
A: Let a be the 69th percentile of Standard normal distribution, then: PZ<a=0.69 Using standard…
Q: Each histogram represents a group of 500 healthy people who had their temperature taken. Three…
A: Temperatures of 500 healthy people are plotted on a histogram with 3 examples of normal distribution…
Q: Define the sampling distribution of the sample mean for normal population when the variance is known
A: Let sampling distribution for normal population when the variance is known is Nμ,σ2. The sampling…
Q: 12. Find the variance of normal distribution.
A:
Q: Explain the similarities and differences between a standard normal distribution and a t…
A: Similarity between t distribution and standard normal distribution: The shape of the both…
Q: TRUE OR FALSE The sampling distribution of the sample mean is approximately normal as the sample…
A: We take a population-of-interest sample and measure the mean of the sample (or, more generally, our…
Q: What is normal distribution?
A: The normal distribution: A continuous random variable X is said to follow normal distribution with…
Q: What z-score value separates the highest 70% of the scores in a normal distribution from the lowest…
A: Normal distribution is given.
Q: explain normal distribution with examples?
A: The normal distribution is the most important probability distribution in Statistics because it fits…
Q: The sampling distribution of Pis closely related to the normal distribution. True or False True…
A: Central limit theorem x̄ is the sample mean and E(x̄)=μ and V(x̄)=σ2/n Then x̄ ~ Normal(…
Q: What can histograms be compared to in order to determine if a data set has a normal distribution? O…
A: We have given that the statement about to histogram’s comparison if the data set has a normal…
Q: Identify if its true or false The mean, median and mode of normal distribution are NOT necessarily…
A: The normal distribution curve is bell-shaped and is symmetrical about the line x = μ. The mode of…
Q: What is a skewed distribution?
A:
Q: For any normal distribution, what is the probablity of selection a score less than the mean?
A: Given, The variable follows normal distribution.
Q: a) Briefly explain the Normal Distribution, its derivation and use.
A: Hello. Since your question has multiple parts, we will solve the first question for you. If you want…
Q: Write what you know about normal distribution and standard distribution ?
A: Define normal distribution and standard normal distribution
Q: What is the mean of the standard normal distribution
A: Standard Normal Distribution is a symmetric continuous distribution that has two parameters which…
Q: Transforming an entire distribution of scores into z-scores will not change the shape of the…
A: A z-value is simply the standardization of the raw values in terms of how many number of standard…
Q: a) What is meant by the term "Normal Distribution". Is the normal distribution important in…
A: Normal distribution: A continuous random variable x is said to follow a normal distribution with…
Q: How does the shape of a t-distribution compare with the normal distribution? How does the shape of a…
A: The t-distribution has more scores in its tails than the normal distribution It is slightly…
Q: 4. What is the total area under the curve for the normal distribution? 4. What do you call the graph…
A: Normal distribution f(x) is said to be normal distribution and which mean=μ, standard deviations=σ…
Q: a. Can this distribution be approximated using the Normal model? Explain. b. Use the Normal…
A: here p = probability of senior attend a particular school in a school district = 0.62 n = 500
Q: What is the axis of symmetry of the graph of the standard normal distribution? Is it the vertical…
A: A standard normal distribution has two parameters: mean and standard deviation. Let X be a random…
Q: What are three advantages of using the normal distribution for statistical analyses on continuous…
A: The normal distribution is a probability function that describes how the values of a variable are…
Q: Regardless of the shape of the population, the sampling distribution of the mean approaches a normal…
A: The central limit theorem (CLT) states that the distribution of sample means approximates a normal…
Q: A normal distribution curve is bell- shaped.
A:
Q: Explain the Empirical rule and its relationship to the normal distribution 1.
A: Solution-: Explain the empirical rule and its relationship to the normal distribution.
Explain the
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