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

Three balls are selected from a bag that contains 3 blue, 2 green, and 5 yellow balls. Here, we define random variables as B = number of blue balls drawn, G = number of green balls drawn, Y = number of yellow balls drawn. Please list the following values:
Group A is a sample of 25 people and has a Sum of Squares of 800 Group B is a sample of 20 people and has a Sum of Squares of 1600 Use the information from both samples to estimate the variance of the null hypothesis distribution?
Q3 A box contains 6 balls. Two are numbered 4, two are numbered 5, and two are numbered 6. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance (02) and standard deviation (o) of the numbers on the balls.
Let a be a random variable representing the percentage of protein content for early bloom alfalfa hay. The average percentage protein content of such early bloom alfalfa should be u = 17.2%. A farmer's co-op is thinking of buying a large amount of baled hay but suspects that the hay is from a later summer cutting with lower protein content. A small amount of hay was removed from each bale of a random sample of 50 bales. The average protein content from the samples was determined by a local agricultural college to be -15.8% with a sample standard deviation of S = 5.3%- At a = .05, does this hay have lower average protein content than the early bloom alfalfa?
2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
I asked this question before, and got an answer, but I have a question about the response that was given. The original question was: For an initial investment of 100, an investment yields returns of X1 and X2, where X1 and X2 are independent normal random variables with mean 60 and variance 25. What is the probability that the rate of return of this investment is greater than 10%? In the answer that was given it says that the gain of the investment is X1+X2. My question is why can we just group those together as one amount? I was given a formula in my class that says the return on the investment would be the solution to the equation: -100+ X1/(1+r) + X2/(1+r)2=0. If this formula is used, a different solution would result for this problem.
The following table gives the output of a survey involving students in Australia and Japan. It gives the number of students pursing STEM, HASS and Other studies as their undergraduate degree in both countries. Australia Japan STEM 38 70 HASS 53 39 Other 48 33 You are performing a Chi Square test for homogeneity, that is you're testing if the proportions across different populations are equal. If the proportions across the two countries are the same, what is the expected value of students doing STEM related studies in Australia? Give your answer to 2 decimal places.
Hi could fill out the blanks for me
Which one of the followings is true about the variance of the sample mean of a random sample of size greater than one? a.)It is equal to the variance of the population from which the sample is drawn b.)It is smaller than the variance of the population from which the sample is drawn c.)It is greater than the variance of the population from which the sample is drawn d.)Its value cannot be compared with the variance of the population from which the sample is drawn e.)None of the above
6- The variance of the sum of the random variables equals the sum of the variances if the random variables are uncorrelated. True O False
Please don’t use programming to answer the question. Please don’t use codes as an answer for the question.
Write about the role of box-and-plots in statistical random experiments. The double whisker plots of the homework time (in minutes) per night with TV time per night of the same group of the students are: a) What percent of the students work on homework for at least 48 minutes per night? b) What percent of the students watch TV for at least 15minutes per night? c) Is it more common for the students at this university to spend more than 1 hour on homework and more than 1 hour on watching TV also? Explain.