What is the explanation for the normality test?

Q: Explain Single Observation Summary of Z-test Summary?

A: Z-test: Z-test is a statistical test used to determine whether two population means are different…

Q: Quartering a positive mean (dividing by 4) has what effect on the normal curve?

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

Q: What is the definition of Type I error? When does it occur? How is it related with level of…

A: Type 1 error means rejection of true null hypothesis

Q: Standard error is the same concept as standard deviation except that it has to do with deviation of…

A: Standard deviation: The standard deviation is the measured of dispersion or spread. Standard…

Q: Explain the significance of the mean, variance, and standard deviation for a random variable. Do the…

A: Significance of mean, standard deviation and variance is – Mean: it implies average and the sum of…

Q: Why is the standard deviation used more frequently than the variance as a measure of variability?

A: The standard deviation and variance, are measures of dispersion (variability).  The relation between…

Q: stribution importa

A: Regression Analysis: Regression analysis is a statistical device to estimate the unknown values of…

Q: How do you find z-score with only a standard deviation and the simple mean? They aren't providing…

A: Let us assume we have a population which is normally distributed with mean µ and standard deviation…

Q: How is the normal curve important in psychological testing?

A: Here we have to explain how the normal curve important in psychological testing

Q: standardized scores and normal

A: Normal distributions have a specific curve, and I’ve already posted about that elsewhere; the…

Q: What is the benefit of modeling a random variable with a normal distribution

A: Here we have to give the reason for the benefit of modeling a random variable with a normal…

Q: Explain the Sources of variability and F ratios in one- and two-factor ANOVAs.

A:

Q: What are the descriptive methods in assessing normality? Explain each method.

A: Normality test: This test is applied to assess normality of data sets. Normality of a data set is an…

Q: Describe about the Properties of the Normal Curve?

A: A normal curve is identified using the values of the mean and standard deviation to show the…

Q: Can you describe the normal curve and explain why the normal curve in real-life distributions will…

A: Normal distribution: A normal distribution is the proper term for a probability bell curve. In a…

Q: Explain the Multivariate Normal Distribution?

A:

Q: What z-score value separates the highest (top) 40% of the exam scores in a normal distribution from…

A: To find The z-score value that separates the highest (top) 40% of the exam scores in a normal…

Q: Why Squared Correlation Coefficient Does Not Apply to Individual Scores?

A: Squared Correlation coefficient: Squared correlation coefficient is also known as coefficient of…

Q: What percentage of scores falls in the tails of a normal curve?

A: Empirical rule: According to empirical rule, 99.7% of data lies within three standard deviations of…

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: Explain why it makes sense that the SEE equals the standard deviation of Y when the correlation…

A:

Q: How do I explain applying the normal curve to a set of test scores?

A:

Q: what is the importance of knowing the concepts of a normal curve?

A:

Q: Describe about Sources of variability and F ratios in one- and two-factor ANOVAs.

A:

Q: Why is finding the z-score called standardizing data? Does the Empirical Rule apply to the standard…

A: Given two problems related to standard normal distribution and emperical rule. We have to solve the…

Q: You can assess normality of data using

A:

Q: What is Regression toward the Mean?

A:

Q: Even though Asian culture does not necessarily value being thin, the Asian youth is affected by the…

A: Given : Even though Asian culture does not necessarily value being thin, the Asian youth is affected…

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: How does changing from two-tailed test to one-tailed test increases power of a statistical test?

A: Given: Hypothesis test changed from a one-tailed test to a two tailed test as given in the question.…

Q: Provide an example scenario for which you would use ANOVA and explain what the calculated F value…

A: Suppose a sample of diabetes patients and non diabetes patients weight is taken . A One Way ANOVA…

Q: What is the Empirical Rule and how does this rule apply to a normal distribution of data?

A: We have to define the Empirical Rule and how does this rule apply to a normal distribution of data.

Q: What does less replicates mean in the context of understanding variance of data?

A: When the distribution has less variability then the data is more consistent.

Q: On a normal curve, where do most scores fall?

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Q: What are three differences between correlation and regression?

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Q: What are the parameters for a normal curve?

A: Normal distribution: Normal distribution is defined based on mean (µ) and standard deviation (σ).…

Q: If one or both of the assumptions of equal-standard deviations and normality are violated, which…

A: The ‘equal-standard deviations assumption’ of regression analysis is that the conditional standard…

Q: What is a confidence interval in statistics?

A: In inferential statistics, the two types of estimation are: point estimate and confidence interval…

Q: Best way to explain the difference between variance and standard deviation?

A:

Q: What are the characteristics of a normal distribution?

A: Normal distribution- It is a frequency distribution curve. It is also called bell shaped curve. In…

Q: What is the relation between the centralizer and normalizer?

A: Centralizer of an element :-…

Q: What is p? What happens to type 1 and type 2 error when you raise and lower your p-value?

A: P-value P-value – It is the probability of obtaining the test results as extreme as the results…

Q: What does it mean to say that the graph of the normal distribution is symmetric?

A: Solution: From the given information, the graph of the normal distribution is symmetric.

Q: Explain why assessing the normality of a variable is often important.

A: The reason for assessing the normality of a variable is often important because to evaluate if “the…

Q: What is the Importance of Mean and Standard Deviation in normal curve?

A: A low standard deviation indicates that the data points tend to be very close to the mean, whereas…

Q: What does the word 'quartile' mean?

A: Quartiles are the values that divide a list of numbers into quarters: Put the list of numbers in…

Q: What does a test of normality address

A: Here we want to know test of normality.

Q: What percentage of area is above the mean on a normal curve?

A: Solved below.

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.

Q: Explain the difference between variance and standard deviation? how it is calculated?

A: Variance Standard Deviation It is average of squared deviations It is root mean squared deviation.…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.