Alex's boss is hiring new workers. Alex is assigned to find out what percentage of the applicants are qualified for the job. Alex reads through 36 applications, and determines what fraction of those applicants are qualified. Let K be a random variable which takes the value 1 if the applicant is qualified and O if not. a) Alex's employer believes that 60% of the applicants are qualified. What is the expected value of X and its variance? b) Alex wants to test the hypothesis that 60% of the applicants are qualified. Let P be the fraction of the 36 applicants Alex observe who are actually qualified. What is the standard deviation of P? c) Find the rejection region for a test of size 5% of this hypothesis. If Alex discovered that 15 of the 36 applicants are qualified, would you reject the hypothesis that 60% are qualified, or not reject it? d) Suppose the truth is that only 50% of applicants are qualified. Find the chance that we would make a type 2 error and incorrectly accept the null hypothesis that 60% are qualified.

Alex's boss is hiring new workers. Alex is assigned to find out what percentage of the applicants are qualified for the job. Alex reads through 36 applications, and determines what fraction of those applicants are qualified. Let K be a random variable which takes the value 1 if the applicant is qualified and O if not. a) Alex's employer believes that 60% of the applicants are qualified. What is the expected value of X and its variance? b) Alex wants to test the hypothesis that 60% of the applicants are qualified. Let P be the fraction of the 36 applicants Alex observe who are actually qualified. What is the standard deviation of P? c) Find the rejection region for a test of size 5% of this hypothesis. If Alex discovered that 15 of the 36 applicants are qualified, would you reject the hypothesis that 60% are qualified, or not reject it? d) Suppose the truth is that only 50% of applicants are qualified. Find the chance that we would make a type 2 error and incorrectly accept the null hypothesis that 60% are qualified.

Name: Alex's boss is hiring new workers. Alex is assigned tofind out what p
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Alex's boss is hiring new workers. Alex is assigned tofind out what percentage of the applicants arequalified for the job. Alex reads through 36applications, and determines what fraction of thoseapplicants are qualified. Let K be a random variablewh

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A box contains 5 green and 3 orange balls. If three balls are taken at random with replacements, what is the variance number of orange balls? A. 45/8 B. 15/8 C. 1/8 D. 9/8
In a two sample (independent-sample) test, what must be true if t = 0? Group of answer choices A)The two population means must be equal. B)The two sample means must be equal. C)The two sample variances must be equal. D)The two population means must be not equal.
Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.† An insurance company is studying wheat hail damage claims in a county in Colorado. A random sample of 16 claims in the county reported the percentage of their wheat lost to hail. 16 6 8 9 10 18 14 13 9 10 25 18 13 8 14 3 The sample mean is x = 12.1%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and σ = 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (either way) from the national mean of 11%? Use ? = 0.01. (a) What is the level of significance? Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
What could be the possible values of the random variable below? Number of blood donors in a donation drive x20 x = 1,2, 3,... 05xS 1000 O Not a random variable x 0,1,2, 3,...
Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.† An insurance company is studying wheat hail damage claims in a county in Colorado. A random sample of 16 claims in the county reported the percentage of their wheat lost to hail. 15 7 7 13 13 20 13 12 5 10 26 22 13 7 11 3 The sample mean is x = 12.3%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and σ = 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (either way) from the national mean of 11%? Use α = 0.01. (a) What is the level of significance? Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
A production engineer wants to test the effect of four machines on the strength of the parts produced. Because there might be variability from one worker to another, the engineer decides to use a randomized block design, with the workers considered as blocks. Which of the following statements is true? Worker Machine 1 2 5 73 68 3 74 75 67 73 67 75 68 78 68 73 71 75 75 69 O a. There is a difference among the machine types at a = 0.05 level. b. The "Model F-value" of 7.38 implies the model is not significant c. The "Model F-value" of 5.38 implies the model is not significant d. There is no difference among the machine types at a = 0.05 level 23 3 47235 71