Briefly, for a normally distributed variable, how do you obtain the percentage of all possible observations that lie within a specified range?

Q: Because most data values are on the left, we would say that this dot plot (burglary rates per…

A: According to the provided information, most data values are on the left. As data is extending…

Q: This is a Statistics problem.  Is the sample mean from the Poisson distribution normally…

A: A Poisson distribution is the probability of the number of events that occur in a given interval…

Q: If x is a normally distributed variable with µ = 100 and σ = 5, find the lower and upper x values…

A: Let X is normally distributed with mean µ and standard deviation σ.  Let α be a significance level…

Q: If we're concerned with making estimates that are more often close to the true value, would we…

A: If we want to make estimates close to the true value, we would prefer a distribution with a small…

Q: The Empirical Rule states that a symmetrical distribution will have what percentage of observations…

A: The Empirical Rule states that 99.7 percentage of data observed following a distribution  lien…

Q: Compute the standard scores for the batting averages of Cobb, Williams, and Brett to compare how far…

A: Given: Decade Mean sd Sample mean 1910 0.266 0.0371 0.42 1940 0.267 0.0326 0.406 1970…

Q: If the correlation between two variables is close to 0, you can conclude that a scatterplot would…

A: Correlation tell us association between two variables. Correlation coefficient ranges from -1 to…

Q: When data is normally distributed the mean equals the mode. True

A: Normal distribution

Q: For all of the variability calculations we have done (including range, sum of squares, variance, and…

A: Solution-: For all of the variability calculations we have done (including range, sum of squares,…

Q: The mean of Binomial distribution is 3 and variance is-. Find P(1 s x < 6)

A:

Q: If there is a large amount of variation, then on average, the data values will be far from the mean.…

A: The given statement is 'If there is a large amount of variation, then on average, the data values…

Q: How can you verify whether the linear correlation between two variables in a scatterplot is…

A: Correlation:Correlation a measure which indicates the “go-togetherness” of two data sets. It can be…

Q: what is its distribution, its mean and its variance?

A:

Q: To adjust our estimate of variability we subtract 1 from the sample size because we expect samples…

A: Introduction: Suppose a population consists of N units. Then, the formula for the population…

Q: The mean of a data set is 12.5 cm, and the variance is 4.0 cm. What is the z-score of 9.5?

A: Mean = 12.5 Variance = 4.0  Raw score = 9.5

Q: If a variable X is normally distributed with mean equals 22 and variance equals 441, then what is P…

A: From the provided information, Mean (µ) = 22 Variance (σ2) = 441 Standard deviation (σ) = √441 = 21…

Q: For any quantitative population with a finite variance, the proportion of data points less than 2…

A: Given :- For any quantitative population with a finite variance, the proportion of data points less…

Q: Given correlation coefficient is 0.75, the percentage of explained variation is less than the…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: What formula is used to gain information about an individual data value when the variable is…

A: Solution: 6. Let X be the random variable. From the given information, X is normally distributed.

Q: The mean of the distribution of grades for Exam 1 was 58 , while the median was 70. The distribution…

A: Given:  Mean of distribution =58 and  Median=70 then distribution is ? A. Left skewed   B. Right…

Q: suppose that for x=3, the predicted value is y=6. The data pair (3, 8) is part of the sample data.…

A: We know residual in regression equation is  r = (y-y^)  where,  y is actual value  y^ is predictive…

Q: Should averages be taken literally? What are the drawbacks?

A: Average is a summary statistic that represents the center point or typical value of a dataset. It…

Q: Explain the meaning of the specified term. Distribution of a variable

A: Distribution: In general, the distribution of the data set gives the values of the observation and…

Q: If you calculate the sample covariance between two variables X and Y equals one, then there must be…

A:

Q: State three examples where similar averages are associated with very different distributions Go…

A: Given :  State three examples where similar averages are associated with very different…

Q: What is the variance of the following data( 1, 2, 3, 4, and 5)?

A: According to the given information in this question We need to calculate the value of variance

Q: Suppose that insurance companies did a survey. They randomly surveyed 450 drivers and found that 310…

A: Number of drivers who claim that they always buckle up, x=310. Number of drivers who were surveyed,…

Q: The . distribution might be used if one cannot guess much about the process to involve in a…

A: If we know only the minimum and maximum values of the data then the most useful distribution for the…

Q: A population is normally distributed with µ = 145 and σ = 20. Which is the percentile rank for X =…

A:

Q: carl looks at his data and finds that it looks distorted, as though a large number of values are…

A: Given that  Car looks at his data and finds that it is looks distorted , as though a large number of…

Q: 4- Give examples of data measures where we would find the data to be normally distributed and what…

A: Many things are normally distributed, or very close to it.

Q: how would you collect data with people in this time of pandemic?

A: Plan ahead for different COVID scenarios, and draft a budget that assumes the worst. Recruit an…

Q: The average number of newspapers for sale in an airport newsstand is 12, and the variance is 25. The…

A: We have given that  Average and variance for newspapers.  Average = 12 Variance = 25 Standard…

Q: Salaries for administrative assistants range from $32,000 per year to $67,000 per year. Salaries for…

A: Introduction: For administrative assistants, minimum salary per year = $32,000, and maximum salary…

Q: Rick took a test that is known to produce normally distributed grades with a mean of 72 and a SD of…

A:

Q: The proportion of a in the tail of a gold distribution can be never be more than .50 true or false

A: We have to find given statement is true or false

Q: A variable is approximately normally distributed. If you draw a histogram of the distribution of the…

A: Justification:A variable is approximately normally distributed.If the variable is approximately…

Q: In a recent study examining educational attainment in the United States, the mean years of education…

A: When the tail of the distribution is elongated to the right side, the shape of the distribution is…

Q: Some people have the misconception that z-scoring "makes the data gaussian." Describe some data that…

A: A z-score is a standardized score which tells how far from the mean an observation lies. Z=X-μσwhere…

Q: If the correlation is .8, then 40% of the variance is explained?

A: The given statement is incorrect.

Q: (b) Predict what will happen to the data distribution if outlier exists in the data.

A: An outlier is defined as that value in the data set, that lies at an extreme distance as compared to…

Q: A group of patients were classified in terms of their smoking habits and the incidence of…

A: A cross-tabulation is the representation of the frequencies for two categorical variables where one…

Q: Suppose that a broad cross section of high school students took a very challenging scholarship exam…

A: The histogram is a plot which is used to depict the distribution of data with frequency on vertical…

Q: A normally distributed data set has a mean of 0 and the standard divitation of 2. What is the…

A: Given,mean(μ)=0standard deviation(σ)=2

Q: Based on this graph what is the approximate distribution of data?  X~___(___,___)

A: From the data given,we try to create the histogram of the data.

Q: Suppose that the variance of the sample mean is equals 25 and the sample size is 6 . then the…

A:

Q: The figure above shows three different panels examining the relationship between average price and…

A: Panel A compares two box plot for the average prices of the two types of avocado. It can be observed…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.