Use the Empirical Rule to answer each question.2. In a normal distribution, what percent of the data liea. within 2 standard deviation of the mean?more than 1 standard deviation above the mean?between 1 standard deviation below the mean and 2 standard deviations about the mean?b.с.3. A biologist found the wingspan of a group of monarch butterflies to be normally distributed, witha mean of 52.2 mm and a standard deviation of 2.3 mm. What percent of the butterflies had awingspanless than 219?b. between 190 and 225?a.4. Given the bivariate data:13732Draw a scatter diagram for the data.b. Find a, the slope of the least-squares line, and b, the y-intercepts of the least-squares line.c. Find, to the nearest hundredth, the linear correlation coefficient.a.164

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4. Which proportion of a normal distribution is located between the mean and z = +1.40? 5. A vertical line drawn through a normal distribution at z = +2.11 separates the distribution into two sections, the body and the tail. Which proportion of the distribution is in the tail?
Determine whether the graph shown could represent a variable with a normal distribution. Explain your reasoning. If the graph appears to represent a normal distribution, estimate the mean and standard deviation. 4 ..... Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The graph could represent a variable with a normal distribution because the curve is symmetric and bell-shaped. Its mean is approximately and standard deviation is approximately (Round to one decimal place as needed.) O B. The graph could not represent a variable with a normal distribution because the curve crosses the x-axis. O C. The graph could not represent a variable with a normal distribution because the curve has two modes. O D. The graph could not represent a variable with a normal distribution because the graph is skewed to the right. O E. The graph could not represent a variable with a normal distribution because the graph is skewed to the left. O F. The…
Americans love ice cream .The annual per capita consumption of ice cream ,in pounds ,in the united states can be approximately by a normal distribution with mean 16.5 lbs and standard deviation 2.5 lbs write three statements about the distribution using the empirical rule
3. Suppose the with expected life of capacitor is S2 morths upen standerd deviatian of I8 manths. New. capacitors are ina crate containing 36 capacitors Shipped a) State distributon of the life span for tte Crpaieitors in the name of the theorem which sayi that the average a crate approximately normal. We Gonside a sample size or more to be Taege. is of 30 b) what is the life ハo 4 royt spcn pobabilly CS ScapmetrLiten Coa Beanoar be greate then so manths? aver age of the
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Answer true or false to each statement. Give reasons for your answers. a. Two variables that have the same mean and standard deviation have the same distribution.b. Two normally distributed variables that have the same mean and standard deviation have the same distribution.
Select all true statements below (Multiple or none can be true). With a large, representative sample, the histogram of the sample data will follow the normal curve closely. If two lists of numbers have exactly the same average of 50 and SD of 10, then the percentage of entries between 40 and 60 must be exactly the same for both lists. Half of a list of numbers is always below its average. The median and average of a list of numbers are not necessarily close together.
3
Which of the following are true about the Z-score? Two answers correct. All or nothing credit. 1. It provides a sense of how far an observation is from the mean in relative to the standard deviation. 2. An observation is generally considered an outlier if its Z-score is more than 3 or less than -3. 3. The Z-score measures where the observations in a data set are scattered around. 4. A Z-score of -1 tells us that the average value of the data set is one standard deviations below the mean.
q6

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Use the Empirical Rule to answer each question. 2. In a normal distribution, what percent of the data lie a. within 2 standard deviation of the mean? b. more than 1 standard deviation above the mean? C. between 1 standard deviation below the mean and 2 standard deviations about the mean?