b) Suppose that a random variable X has a probability density function given as(2(ß-x)B²0,0 < x

A quantity is said to be pivotal quantity if it's distribution is free from parameter of interest.

Answered: i) Use an appropriate method to show…

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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Pain after surgery: In a random sample of 42 patients undergoing a standard surgical procedure, 15 required medication for postoperative pain. In a random sample of 90 patients undergoing a new procedure, only 11 required pain medication. Part: 0 / 2 Part 1 of 2 (a) Construct a 95% confidence interval for the difference in the proportions of patients needing pain medication between the old and new procedures. Let p, denote the proportion of patients who had the old procedure needing pain medication. Use tables to find the critical value and 1 round the answer to at least three decimal places. A 95% confidence interval for the difference in the proportions of patients needing pain medication between the old and new procedures is
11
4
Find the mean median and mode
Exercise 6.16 presents the results of a poll where 48% of 345 Americans who decide to not go to college do so because they cannot afford it.(a) Calculate a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot afford it, and interpret the interval in context. (b) Suppose we wanted the margin of error for the 90% confidence level to be about 1.5%. How large of a survey would you recommend?
Assume that both populations are normally distributed. a) Test whether u >H2 at the a = 0.01 level of significance for the given sample data. b) Construct a 99% confidence interval about u - 42- Sample 1 28 52.6 Sample 2 23 44.1 9.4 O A. Ho: H1 H2 O B. Ho: H1 = H2, H:Hq H2, HHy H2 Determine the test statistic. t= (Round to two decimal places as needed.) Approximate the P-value. Choose the correct answer below. O A. P-value 20.10 O B. P-value <0.01 O C. 0.05 s P-value <0.10 O D. 0.01 SP-value <0.05 Should the hypothesis be rejected at the a = 0.01 level of significance? V the null hypothesis because the P-value is V the level of significance. b) The confidence interval is the range from to (Round to twwo decimal places as needed. Use ascending order
A) State the hypothesis for this test B) construct a 95 % confidence interval about the sample mean of stocks traded in 2014 C) will the researcher reject the null hypothesis
Assume that both populations are normally distributed. a) Test whether u > H2 at the a = 0.01 level of significance for the given sample data. b) Construct a 99% confidence interval about u - 42. 177 Sample 1 24 51.7 9.5 Sample 2 43.1 99 O A. Ho: H1 = H2, H:Hq>H2 O B. Ho: H1 = H2, HH1H2, H1: H1 H2 Determine the test statistic. %3D (Round to two decimal places as needed.) Approximate the P-value. Choose the correct answer below. O A. P-value 20.10 O B. P-value <0.01 O C. 0.01 s P-value <0.05 O D. 0.05 s P-value <0.10 Should the hypothesis be rejected at the a = 0.01 level of significance? V the null hypothesis because the P-value is the level of significance. b) The confidence interval is the range from to (Round to two decimal places as needed. Use ascending order.)
Exercise 1: You are interested in determining the average number of social media accounts people have. You interview 30 people at random and the number of social media accounts they have has a sample mean of 7.1 and a sample standard deviation of 2.09. a) b) Define the parameter of interest. State and check if the assumptions needed for constructing the appropriate CI for the parameter of interest are satisfied. c) Find a 90% confidence interval for the parameter defined in part a). Use the table, not the calculator to find the appropriate critical value. d) Write a sentence to interpret the CI computed in part c).
4. In the past, the mean running time for a certain type of cell phone battery has been 19.2 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are: Họ: u=19.2 hours H1: µ>19.2 hours Explain the meaning of a Type I error. A) Concluding that u> 19.2 hours when in fact u = 19.2 hours B) Concluding that u 19.2 hours C) Concluding that u = D) Concluding that u> 19.2 hours when in fact u> 19.2 hours 19.2 hours when in fact u > 19.2 hours

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i) Use an appropriate method to show that W = is a pivotal quantity. ii) Construct a 90% upper confidence limit for ß, using part i) of Question 4 b).