Answered: It is often quoted that in a normal…

It is often quoted that in a normal distribution, 95% of the data lies 1.96 deviations either side of the mean. How many deviations from the mean would 36 percent lie?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 5CT

See similar textbooks

Related questions

Q: On the Bar Chart in Figure C1 above, which of the datasets (left, middle or right) has the highest…

A: Bar chart is given here. Error bars gives the information about how the data is spread around the…

Q: On a nationwide math test, the mean was 75 and the standard deviation was 10. If Roberto scored 85,…

A: The formula of Z-score is,

Q: For a list of positive numbers, is it possible for the standard deviation to be greater than the…

A: Mean: The mean defines that the center or average of the data and it is calculated by the sum of the…

Q: In a negatively skewed distribution, the mean will generally be the median. O a. Less than O b.…

Q: Alice was told that her reading test score was 3 standard deviations below the mean. If test scores…

A: Z-score is the measure of how far the standard deviation is away from the mean (above/below). Above…

Q: Of the 200 American film enthusiasts, the average age is: 30 years, while the standard deviation is…

A: Normal distribution is generally denser in the center, and basically less denser at the tails. There…

Q: or a distribution, the mean is 100 and the standard deviation is 4. If a data value x has a value…

A: Given data,Mean μ=100sd σ=4If x=90z=?

Q: A successful basketball player has a height of 6 feet 2 inches, or 188 cm. Based on statistics from…

A: Given the Z score of height of basket ball player is 1.95. The original height of the basket ball…

Q: Could the graph represent a variable with normal distribution? If so, what is the mean and what is…

Q: According to Chebyshev's rule, within 10 standard deviations from the mean, lies at least_ data of…

A: According to Chebyshev's rule, within 10 standard deviations from mean, lies at least 99% of the…

Q: at on one section of the SAT the mean is 500 and the standard deviation is 100, what is the…

A: From the given information, Consider, X be the random variable that shows the scores of a students…

Q: On a nationwide math test, the mean was 63 and the standard deviation was 10. If Roberto scored 85,…

A: GivenMean(μ)=63standard deviation(σ)=10score(x)=85

Q: In a frequency distribution, the coefficient of skewness based on quartiles is 0.5. If the sum of…

Q: On a nationwide math test, the mean was 69 and the standard deviation was 7. If Roberto scored 80,…

A: Given,mean (μ)=69standard deviation (σ)=7andRoberto score(X)=80

Q: If an adult male is told that his height is within 2 standard deviations of the mean of the normal…

A: If an adult male is told that his height is within 2 standard deviations of the mean.

Q: Suppose you were told you scored two standard deviation below the mean on a measure where the main…

Q: When you use the standard deviation as a measure of variation, what is the reference point?

A: Standard deviation:The standard deviation indicates by how much each observation differs from a…

Q: You want to know the percentage of utility companies that earned revenue less than 39 million or…

A: Given data You want to know the percentage of utility companies that earned revenue less than…

Q: In any data set, what percent of data lies within 8 standard deviations of the mean

A: Given: In any data set, what percent of data lies within 8 standard deviations of the mean??

Q: Choose the best answer for the statistical conclusion.

A: Given information: The data represents the turnaround time for 4 types of contractors and 3 types of…

Q: If a set of numbers has a standard deviation of zero, what can you say about the numbers?

A: The standard deviation indicates that amount of deviation of data points from the mean.

Q: Suppose a probability and statistics class took an exam that had a mean of 60 and a standard…

A: Given, E(X)=60 SD(X)=12 After 10 Point curve Let Y be new variable.

Q: Bill scored 35 on a college algebra exam, where the mean was 25 and the Standard Deviation was 5.…

A: Given that the score for algebra exam is 35, mean is 25 and standard deviation is 5. z score for…

Q: What is the percentile rank for a student who scored 74 on a softball rules test if the class mean…

Q: In the final Examination in Statistics, the mean grade was 82 and the standard deviation was 8. In…

Q: In a data set with a normal distribution, the mean is 98 and the standard deviation is 12. About…

A: Given: Mean, μ=98 Standard deviation, σ=12 To find: P (74 < x < 122) Therefore, P…

Q: the mean for the Verbal Reasoning section was 151 with a standard deviation of 9, and the mean score…

A: Note: According to bartleby experts question answers guidelines an expert can solve only first three…

Q: It is often quoted that in a normal distribution, 95% of the data lies 1.96 deviations either side…

A: Let X be the random variable X~ Normal (0, 1)

Q: Looking at the test data, Jason saw that his score was a 2.5 with a mean of 79 and a standard…

A: We will find the actual score as following.

Q: Suppose that for a random sample , the mean is 4 and the coefficient of variation is 87.5 % then the…

Q: In moderately asymmetrical distribution, the value of median is 42 and the value of mode is 40. Find…

A: Given: Median = 42 Mode = 40 Distribution is moderately asymmetrical

Q: a nationwide math test, the mean was 60 and the standard deviation was 7. If Roberto scored 85, what…

A: Given data,Mean μ=60sd σ=7 If Roberto scored 85z-score=?

Q: On a verbal skill test, the mean was 72 and the standard deviation was 7. If John scored 75, what…

A: Given data,Mean μ=72sd σ=7If John scored 75z-score=?

Q: AFTER ENTERING TEST SCORES FROM HER STATISTICS CLASS, THE INSTRUCTOR CALCULATES THE MEAN AND THE…

A: Here we are interested in finding the shape of the distribution of the student's test score.

Q: In a normal distribution, what percentage of scores falls below and score of -2.33

Q: In normally distributed data, what percent of the data lies on the interval 2 standard deviations…

Q: Max scored an 80 on her psychology quiz, but the class as a whole averaged a 40. If the standard…

Q: Think of your own example of a data set that would follow a normal distribution and explain why.

A: progress report data of employees follow the normal distribution. let us consider the monthly…

Q: In a science test, the mean score is 42 and the standard deviation is 5. Assuming the scores are…

A: (a) Obtain the percent of score is greater than 48. The percent of score is greater than 48 is…

Q: An engineer wishes to determine the width of a particular electronic component. If she knows that…

A: Standard Deviation = σ = 1.4 Margin of Error = E = 0.3 Confidence Level = 90

Q: The scores of 800 students in a 100-item exam resemble a normal distribution with a mean of 78 and a…

A: Let X be the random variable from Normal distribution with mean (µ) = 78, standard deviation (σ) = 8…

Q: If the mean is 8.35, and the standard deviation is 2.5, what will be the answer to this? How many…

Q: The larger the standard deviation, the more dispersed the set of data is. True or False

A: # The larger the standard deviation, the more dispersed the set of data is.?? True

Q: State the mean and variance of the sampling distribution of the mean?

Q: It is often quoted that in a normal distribution, 95% of the data lies 1.96 deviations either side…

A: We have given that Normal distribution 95% of the data lies 1.96 deviations either side of the…

Q: If a distribution is normal with μ = 60 and σ = 15, what proportion of the scores fall between 60…

A: If X~N(μ,σ2), then Z=X-μσ is called the standard normal variate. The mean and variance of a standard…

Q: Suppose you have already calculated the mean, the average deviation, and the standard deviation of…

A: (a) Condition for Average Deviation: If the value of the observation is increased or decreased by a…

Q: on a nationwide math test,the mean was 63 and the standard deviation was 7. if roberto scored…

A: According to the given information, we have Mean = 63 Standard deviation = 7

Q: The mean of 7 consecutive integers is 10. What is the standard deviation?

Q: In a moderately skewed distribution, the arithmetic mean is 10 units and the mode is 7 units, find…

A: Formula for Median If mean and mode are given Median = ( Mode + 2 * Mean ) / 3

Question

It is often quoted that in a normal distribution, 95% of the data lies 1.96 deviations either side of the mean. How many deviations from the mean would 36 percent lie?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution