Answered: 13. Suppose you have estimated that the…

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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1) Which of the following would result in the widest confidence interval? A sample size of 100 with 99% confidence. A sample size of 100 with 95% confidence A sample size of 30 with 99% confidence. A sample size of 30 with 95% confidence.
If n=11, ¯x=37x¯=37, and s=2, find the margin of error at a 95% confidence levelGive your answer to two decimal places.
Now consider a bag of ten colorful marbles. You reach into the bag 100 times. Each time you pull out a marble, write down what color it was, then put it back in the bag and do it again. You record the following data: Table describing marble frequency Color Frequency Red 22 Yellow 9 Green 41 Blue 28
Can you answer part d and e for 7.8
In the lecture video, we learn that if o is given, then the 95% confidence interval for u is: P(,- 1.96susn + 1.96) - 95%. a. Please verify that: P(, - 1.85SuS+21 = 95% is also true. b. Regarding the confidence interval for u, can you explain why x,- 1.96sus n + 1.96 is better than x- 1.85
D
Is 95% confidence means 95% probability to happen?
In 2001, the polls found that 81% of American adults believed that there was a conspiracy in the death of President Kennedy. Assume a recent poll asked 1780 American adults if they believe there was a conspiracy in the assassination and it found that 1484 believe there was a conspiracy. Calculate a 97% confidence interval for the percentage of all Americans who believe in this conspiracy.
Now you are interested in the percent of dogs that were neutered in your sample. For 40 dogs, 30 of them were neutered. What is the LOWER limit for this confidence interval? The statistical value you will need is 1.96. Give your answer as 0.XX
If n = 20, the sample mean = 250, SD = 15, SEM = 3.354, what is the confidence interval (using 95% confidence level). What percent confidence do you have that the population mean is between what two values
A nationwide poll of 2,525 adults estimated with 95% confidence that the proportion of Americans who support health care reform is 0.78 +/- 0.0162. A member of Congress thinks that 95% confidence isn't enough. He wants to be 99% confident. How would the margin of error of a 99% confidence interval based on the same sample size compare with the 95% interval? O It would be larger, because higher confidence results in a larger margin of error. O It would be the same, because the sample size is the same. O Can't tell, because margin of error depends on the size of the population. O Can't tell, because margin of error varies from sample to sample. O It would be smaller, because higher confidence results in a lower margin of error.
You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 384 randomly selected caterpillars observed, 46 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between and b. If many groups of 384 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about percent will not contain the true population proportion.

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13. Suppose you have estimated that the 95 % confidence interval for B₁ is {0.750 , 0.950}. Which of the following is a possible 90 % confidence interval for B2?