what effect does standardizing into z-score have on the shape of the distribution of a variable?

Q: Why do researchers use other types of standardized distribution? Explain the reason using the…

A: Introduction: The z-score is a standardized score, obtained by shifting the location (mean) of a…

Q: Explain how the F-test statistics is calculated and what it tells us about the variance between and…

A: In ANOVA, “SS” stands for “sum of squares”, “df” stands for degrees of freedom, F is for the test…

Q: What is the probabilty distribution of a statistic is called?

A: Given that, Probability distribution of statistic

Q: Where are most of the data gathered in a negatively skewed distribution? Which value is larger, the…

A:

Q: What is the null distribution of the test statistic? How do we know if it is normal or not, and how…

A: Points on the sampling distribution of the sample mean: If the true population distribution of a…

Q: What is the distinction between independent and dependent samples in hypothesis testing involving…

A: The objective is to determine the distinction between independent and dependent samples in…

Q: The concept of the "center" of the distribution is unique for symmetric distributions. Why might you…

A: The common center measures are mean, median, and mode. Mean can be used when the data is…

Q: How does transforming raw scores into z-scores contribute to the goal of inferential statistics? How…

A: If X is a random variable and follow Normal Distribution with mean mu and standard deviation, sigma…

Q: Why do t distributions tend to be flatter and more spread out than the normal distribution is?

A: Formula for t score; Formula for z score; Here s shows the sample standard deviation,  shows the…

Q: Explain the difference between binomial and normal distribution

A: It is asked to tell the difference between the binomial and normal distribution

Q: What happens to the standard error of an estimate when the sample size in a SRS decreases?

A: Standard error: Standard error is a measure which explains how accurate are the sample means to…

Q: How is the analysis of variance (ANOVA) specifically the F-Test, a signal to noise ratio?

A: ANOVA is a study which is non parametric. ANOVA stands for "Variance Analysis" and is used to…

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

A:

Q: What does the variance of a random variable measure? What is the standard deviation of a continuous…

A: Variance of a random variable measures how far a set of (random) numbers are spread out from their…

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?

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Q: Does the distribution of sample variances tend to be a normal distribution

A: The shape of the sample distribution of sample variance will depend on the shape of the population…

Q: What is the distribution of a statistic based on a population parameter?

A: Population Parameter It is a characteristic of the entire population. The value of a population…

Q: When we standardize using​ Z-scores, the shape of the distribution changes.   True…

A: Changing the values in z-scores does not change the shape of distribution. Clearly if values are…

Q: a. What is the 25th percentile of HDL in patients recelving the placebo? b What is median HDL. in…

A: a. First quartile: First quartile is the median of all the observations that are left to the…

Q: 8. Show that the sample median is a consistent estimator for population mean of a normal…

A:

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 is measured by the numerator of the z-score test statistic?

A: # What is measured by the numerator of the z-score test statistic?

Q: How is a normal probability plot used to detect outliers?

A: An outlier is an observation that appears to deviate markedly from other observations in the sample.

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

A:

Q: What is the median of a normally distributed random variable with mean ? and standard deviation ??

A: Normal distribution, also known as the Gaussian distribution, is a probability distribution that is…

Q: What are Sources of variability and F ratios in one- and two-factor ANOVAs?

A:

Q: Explain the Process of Computing the p-value using the F-statistic?

A:

Q: What proportion of scores are above z-score of 1.0 in a normal distribution?

A: We want to find P(Z>1)= ?

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: Explain kurtosis of the distribution?

A:

Q: What effect does standardizing into z-scores have on the shape of the distribution of a variable?

A: Z scores implies that how far is your data value in terms of no. of standard deviation. In simple…

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: What is the 25th percentile of a χ2 distribution with 20 degrees of freedom? What symbol is used to…

A: It is an important part of statistics. It is widely used.

Q: Why does the mean inaccurately summarize a skewed distribution?

A: If the distribution is symmetric then mean is accurately summarized the data because it is exactly…

Q: What are the predictor variables in general and what we can observe in general—normal distribution,…

A: Histogram: A simple bar graph of the data where the width bars are the range of the data and the…

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 are the assumptions when you use a Z score?

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Q: The distribution of sample means will always be normal if taken from a normal population. True or…

A: We know that if population is normally distributed then the distribution of sample means will always…

Q: What effect does standardizing into z-scores have on the center (mean) of a variable?

A: What is Z-score and standardized variables:Z-score:The Z-score measures a particular value’s…

Q: What effect does standardizing into z-scores have on the spread (standard deviation) of a variable?

A: What is Z-score and standardized variables:Z-score:The Z-score measures a particular value’s…

Q: What are the three characteristics of the z-score distribution?

A: We know that, if X has mean mu and standard deviation sigma then it's z score is given as, (X-…

Q: What is the variance of a data set with mean score of 87.5 and a standard deviation of 2?

A:

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: 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: Where are most of the data gathered in a negatively skewed distribution? Which value is largerthe…

A: We have to describe the negatively skewed  distribution and locate the position of mean relative…

Q: how to find outlier from data in normal distribution ?

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

Q: What does a negative z score mean?

A: In this question we have to tell what does the negative Z score implies. A Z Score means that how…

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.