Decide which of the following statements are true.AnswerO Normal distributions are symmetric, but they do not have to be bell-shaped.The total area under a normal distribution curve equals 1.The line of symmetry for all normal distributions is x = 0.For any normal distribution, the mean, median, and mode are equal.

Given the normal distribution, The Normal distribution is also known as the Gaussian distribution.…

Answered: Decide which of the following…

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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Use a table of cumulative areas under the normal curve to find the z-score that corresponds to the given cumulative area. If the area is not in the table, use the entry closest to the area. If the area is halfway between two entries, use the z-score halfway between the corresponding z-scores. If convenient, use technology to find the z-score. 0.051 Click to view page 1 of the table. Click to view page 2 of the table. The cumulative area corresponds to the z-score of (Round to three decimal places as needed.)
Internet Service Providers The amount that households pay service providers for access to the Internet varies quite a bit, but the mean monthly fee is $50 and the standard deviation is $20. The distribution is not Normal: many households pay a low rate as part of a bundle with phone or television service, but some pay much more for Internet only or for faster connections. A sample survey asks an SRS of 50 households with Internet access how much they pay. Let x be the mean amount paid. 1. Explain why you can't determine the probability that the amount a randomly selected household pays for access to the Internet exceeds $55. 2. What are the mean and standard deviation of the sampling distribution of x ? 3. What is the shape of the sampling distribution of x ? Justify your answer. 4. Find the probability that the average fee paid by the sample of households exceeds $55.
Which of the following statements are true? It is okay to use the median to estimate the mean since both are a measure of the center of a distribution. It is okay to use the standard deviation to estimate the IQR since both are measures of variability. Point estimates based on a sample are sometimes far from a parameter's value. i only ii only iii only i and ii i and iii i, ii, and iii
Use the 95 % rule and the fact that the summary statistics come from a distribution that is symmetric and bell-shaped to find an interval that is expected to contain about 95 % of the data values. A bell-shaped distribution with mean 150 and standard deviation 25. The interval is i to i
Select all that apply: A has the larger mean. B has the larger mean. The means of A and B are equal. A has the larger standard deviation. B has the larger standard deviation. The standard deviations of A and B are equal.
Use the standard normal distribution to compare two other normal distributions. 25. Blood pressure is described by two numbers: systolic pressure and diastolic pressure (measured in mmHg, or millimeters of mercury). For example, a blood pressure of 120/80 denotes a systolic pressure of 120 mmHg and a diastolic pressure of 80 mmHg. A study of 625 persons ages 26 to 45 finds that their blood pressures are normally distributed. Their systolic pressure had a mean of 122 and a standard deviation of 14, and their diastolic pressure had a mean of 83 and a standard deviation of 9. Two study participants are randomly selected and their blood pressures are measured again. The first participant had a systolic reading of 99 mmHg, while the second had a diastolic reading of 70 mmHg. Which participant had the lower reading with regard to the study population? 26. Health experts often consider blood pressure to be elevated if systolic pressure is 140 or greater or the diastolic pressure is 90 or…
Q13. Derive mean of gamma distribution.
Which statement about the normal distribution is false? Approximately 68 % of the data lie within 1 standard deviation of the mean. Approximately 99.7% of the data lie within 3 standard deviation of the mean. None of these is true. Approximately 95% of the data lie within 2 standard deviation of the mean. SAMSUNG C Oll % & ★
One graph in the figure represents a normal distribution with mean u= 15 and standard deviation o = 2. The other graph represents a normal distribution with mean u=11 and standard deviation o = 2. Determine which graph is which and explain how you know. A B 11 15 ... Choose the correct answer below. O A. Graph A has a mean of u = 15 and graph B has a mean of u = 11 because a larger mean shifts the graph to the right. O B. Graph A has a mean of u = 11 and graph B has a mean of u= 15 because a larger mean shifts the graph to the left. O C. Graph A has a mean of u = 11 and graph B has a mean of u = 15 because a larger mean shifts the graph to the right. O D. Graph A has a mean of u = 15 and graph B has a mean of u = 11 because a larger mean shifts the graph to the left.
Which of the following are properties of the normal curve? Select all that apply. A. The area under the normal curve to the right of the mean is 0.5 B. The graph of a normal curve is symmetric. 1C. The high point is located at the value of the mean. D. The graph of a normal curve is skewed right. E. The area under the normal curve to the right of the mean is 1. OF. The high point is located at the value of the standard deviation. □□□0口□
Q4. The probability that a river flow exceeds 2000 m3/sec is 15%. The coefficient of variation of these flows is 20%. Assuming a normal distribution, calculate: A-The mean of the flow? B- The stand. Dev. of the flow?

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