A 95% confidence interval for the mean m of a population is computed from a random sample and found to be 9 + 3. Which of thefollowing is a correct statement?A 95% of values sampled are between 6 and 12.B there is a 95% probability that the true mean is 9 and a 95% chance that the true margin of error is 3.if we took many, many additional random samples and from each computed a 95% confidence interval for u,approximately 95% of these intervals would contain u.D there is a 95% probability that m is between 6 and 12. Francis A. SantosFor the given data set: [5.1, 7.3, 7.5, 7.2, 7.4, and 7.1] Determine the outlier using Grubbs test. Gcrit = 1.887А) 7.3В) 5.17.1D) 7.4

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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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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 115, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about u if the sample size, n, is 18. (b) Construct a 96% confidence interval about u if the sample size, n, is 12. (c) Construct a 95% confidence interval about u if the sample size, n, is 18. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? | Click the icon to view the table of areas under the t-distribution. (a) Construct a 96% confidence interval about u if the sample size, n, is 18. Lower bound: Upper bound: (Use ascending order. Round to one decimal place as needed.)
A 95% confidence interval for the mean (u) of a population is computed from a random sample and found to be 9 ± 3. Which of the following is a correct statement? O a. if we took many, many additional random samples and from each computed a 95% confidence interval for H, approximately 95% of these intervals would contain u. O b. 95% of values sampled are between 6 and 12. O c there is a 95% probability that the true mean is 9 and a 95% chance that the true margin of error is 3. O d. there is a 95% probability that u is between 6 and 12. O e. all of the above are true.
You are trying to estimate the population mean p after taking a random sample from that population. Which of the following best represents a Margin of Error of about +/- 5% around the sample mean X? In other words, which best represents "95% confidence interval" around the observed mean, X? (In this notation, +/- stands for "plus or minus"; SD stands for "standard deviation"; and SE stands for "standard error.") p=X +- 2(SE) H= 2(SE) +/- X p =X+- 2(SD)
Bags of a certain brand of tortilla chips claim to have a net weight of 14 oz. Net weights actually vary slightly from bag to bag and are Normally distributed with mean u. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised, so he intends to test the hypotheses Ho: μ = 14, Ha: μ < 14. To do this, he selects 16 bags of this brand at random and determines the net weight of each. He finds the sample mean to be x = 13.88 and the sample standard deviation to be s = 0.24. Suppose in a similar test of 16 bags of these tortilla chips the P-value is 0.001. Further suppose that a is chosen to be 0.001. In that case, we would conclude that: Othere is not significant evidence that the mean net weight of the bags of chips is less than the advertised 14 oz. O there is not significant evidence that the mean net weight of the bags of chips is not less than the advertised 14 oz. O there is significant evidence that the…
A sociologist is comparing the proportion of teenage boys who receive a text message at least once an hour to the percentage of teenage girls who do. She has collected data from 150 men and 150 women. Which of the following is not a condition that the sociologist should check before creating a confidence interval for the difference in population proportions?
A sample is selected from a normal population with a mean of µ = 40. If the sample mean is M = 45, which of the following combinations would make the sample mean an extreme, unrepresentative value for the population
Question 12 Astudent was asked to find a 90% confidence interval for the proportion of students who take notes using data from a random sample of size n = 86. Which of the following is a correct interpretation of the interval 0.13 p < 0.27? Check all that are correct. With 90% confidence, the proportion of all students who take notes is between 0.13 and0.27. U There is a 90% chance that the proportion of the population is between 0.13 and 0.27. O There is a 90% chance that the proportion of notetakers in a sample of 86 students wilL be between 0.13 and 0.27. O The proprtion of all students who take notes is between 0.13 and 0.27, 90% of the time. OWith 90% confidence, a randomly selected student takes notes in a proportion of their classes that is between 0.13 and 0.27.
Question 22
Which of the following would result in the widest confidence interval? A sample size of 30 with 95% confidence. A sample size of 100 with 95% confidence A sample size of 100 with 99% confidence. A sample size of 30 with 99% confidence.
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 104, and the sample standard deviation, s, is found to be 8. (a) Construct a 95% confidence interval about u if the sample size, n, is 22. (b) Construct a 95% confidence interval about u if the sample size, n, is 16. (c) Construct a 90% confidence interval about u if the sample size, n, is 22. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed? (a) Construct a 95% confidence interval about u if the sample size, n, is 22. Lower bound: 100.5; Upper bound: 107.5 (Round to one decimal place as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 16. Lower bound: Upper bound: (Round to one decimal place as needed.)
The interval [40 50] represents a 90% confidence interval for a population mean. Which of the following is most likely to be the corresponding 95% confidence interval? (Hint: in a normal distribution, close to 90% of the values are within 1.65 standard deviations of the mean and close to 95% of the values are within 2 standard deviations of the mean) O A. [42 48] В. [36 54] OC. [40 54] D. [30 60]
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