True or False? The effect size is the difference in the parameter of interest that represents a clinically meaningful difference (in standard deviation units).

Q: The annual per capita consumption of oranges (in pounds) in the United States  can be approximated…

A: It is given that the mean and standard deviation are 19.2 and 4, respectively.

Q: About what percent of x-values from a normal distribution lie within two standard deviations (left…

A: The empirical rule (68-95-99.7):   It is used only for the normal distribution with specified mean…

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: Why is normal distribution important in statistics and in everyday life?

A: Normal Distribution is important in statistics because many natural phenomena follows Normal…

Q: I need help finding the g average and standard deviation. Then answering number 1 - is the accepted…

A: Given Information: Consider the given fitted data: Trial A gexp=|2A| 1a -7.03E+00 14.07 1b…

Q: Determine the variability of your data set (standard deviation), and the uncertainty of the mean.

A: In variable data set the single data value has an uncertainty that is equal to the standard…

Q: A quantitative data set has mean 15 and standard deviation 44. Approximately what percentage of the…

A: It is given that the mean and standard deviation of the quantitate data set are 15 and 44,…

Q: The volume of water in swimming pools in a local neighborhood is normally distributed. What is the…

A:

Q: IQ scores in the data set have approximately normal distribution with an average of 100 and a…

A:

Q: To measure variability, why is the standard deviation usually preferred over the range? Give an…

A: (a) The standard deviation is used to calculate the variability of the data set. It tells us about…

Q: Why is the range much less informative (and much less useful) as a measure of variability than the…

A: Solution-: The problem with using the range as a measure of variability is that it is completely…

Q: Use the empirical rule for finding the percent of data, which are normally distributed, that lie a.…

A: Empirical rule : 68% area covered within 1 standard deviation of the mean. 95% area covered within 2…

Q: Are post hoc tests necessary when the F-ratio is not statistically significant? Why or why not?

A: After ANOVA, we further use post hoc tests to make multiple comparisons.

Q: Approximately what percentage of normally distributed data values will fall within 2 standard…

A: It is known that, normal curve is a symmetric and bell shaped distribution.

Q: The effect size is a measure of the magnitude of a treatment effect in standard deviation units.…

A: Given that, The effect size is a measure of the magnitude of a treatment effect in standard…

Q: Why does Mean of the Deviations Not a Useful Measure?

A:

Q: What is the mode of a distribution of scores for a variable measured by? What is the variance of a…

A: Let us take a small dataset with frequency distribution and understand all the terms with this…

Q: What is the difference between standard deviation and mean?

A: Standard deviation: The standard deviation is based on how much each observation deviates from a…

Q: Describe about Sources of variability for ANOVA and the F ratio.

A:

Q: Standard deviation can only be used for variables measured at the interval level central level…

A: Standard deviation can only be used for variables measured at ? interval/ratio data

Q: Why is the standard deviation important. Give specific examples.

A:

Q: Do you agree that the standard deviation can measure variable relationships? Explain

A: The term standard deviation was introduced by karl pearsons in 1893. It is one of the most commonly…

Q: Why is the standard deviation important? Give specific examples to illustrate your understanding.

A: Standard deviation is the measure of the amount of dispersion of a set of values A lower standard…

Q: Assume that the distribution of residuals is approximately normal with mean 0c m and standard…

A:

Q: Scores on the verbal Graduate Record Exam (GRE) are normally distributed with a mean of 600 and a…

A: It is given that exam scores are normally distributed with a mean of 600 and a standard deviation of…

Q: What would happen to the margin of error if the standard deviation were to decrease? it would…

A: We know that ,Margin of error=critical value ×standard deviation sample sizeMargin of error =Zα2 ×σn…

Q: The standard error of the mean is essentially the standard deviation but used when you are comparing…

A: Here use basic of standard error

Q: The distance of Josh throwing a javelin are normally distributed. What is the percentage of these…

A:

Q: Explain Mean of the Squared Deviations?

A:

Q: How is standard deviation a measure of distance?

A: We know that the standard deviation is the measure of the dispersion of data which is based on…

Q: The achievement scores for a college examination are normally distributed with mean 75 and standard…

A:

Q: Explain in your own words how an understanding of the average deviation can provide a…

A: Average deviation providing steeping stone:

Q: About what percentage of a normal distribution falls within 2.5 standard deviations of the mean?

A: 98.76 percentage of a normal distribution falls within 2.5 standard deviations of the mean

Q: true or false. as the degrees of freedom increases, the variability of the chi-square distribution…

A: On increasing the degrees of freedom of chi-square test, the curve becomes less skewed, so less…

Q: What percentage of the area under the normal curve is within +/-1, +/-2, and +/-3 standard…

A: Let Z be the random variable from standard normal distribution with mean = 0 and standard deviation…

Q: A quantitative data set has mean 15 and standard deviation 2. what is percentage lies between 13 and…

A: Note: Thank you for the question. For the calculation, it is assumed that the quantitative data set…

Q: How does the slightly different perspective make the standard deviation even more accessible?

A: Standard deviation: It is a measure of how far each observed value is from the mean and standard…

Q: Explain Why can’t the value of the standard deviation ever be negative?

A: Standard deviation is basically the square root of the variance and variance quantifies the amount…

Q: Scores on an IQ test are normally distributed with a mean of 100 and a standard deviation 15. what…

A: Consider X be a random variable which follows normal distribution indicates the scores on an IQ…

Q: what is the Mean Absolute Deviation? What is it's purpose?

A: Deviation in statistical term defined as a single (or) more number of data values deviated from the…

Q: Some iq tests are standardized to a normal model, with a mean of 100 and a standard deviation of 16.…

A:

Q: When you have significant results in data analysis, it is not necessary to report all relevant means…

A: Statistical significance is the likelihood that the difference in conversion rates between a given…

Q: True or false. If the standard deviation of a dataset is 0, the mean must also be 0.

A: Mean is the average value around which the whole data set is concentrated. Mean for the set of 'n'…

Q: About what percent of x values lie between the second and third standard deviations (both sides)?

A: According to Emperical rule of normal distribution,   There are 95% of x values within two standard…

Q: About what percent of x values lie between the second and third standard deviation (both sides)?

A: The 68-95-99.7% (Empirical) Rule: For a normal distribution, the empirical rule (68-95-99.7% Rule)…

Q: How can get the standard deviation within the measures of dispersion or variability ?

A: From the given information, First it is required to understand the measure of dispersion or…

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: When you have significant results in data analysis, it is customary to report all relevant means and…

A: Data Analysics is a process of inspecting, cleansing, transforming, and modeling data with the goal…

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.