Question: The random variables A and B follow normal distribution, A has a standard deviation phi 1 = 6, and B has a standard deviation of

The random variables A and B follow normal distribution, A has a standard deviation phi 1 = 6, and B has a standard deviation of phi 2 =4. Take a sample size of 20 from each random variable, we obtained X1(there's a line over the x) = 80 and X2 (there a line over the x) = 85

(a) Find a 95% confidence interval for the mean difference u1-u2.

(b) can you conclude that the mean of the variable B is higher than mean of A?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Many manufacturing companies use statistical techniques to ensure that the products they make meet standards. One common way to do this is to take a random sample of products at regular intervals...

Let the variable X follow Normal distribution with mean and standard deviation . Determine whether following statement is True or False. (a) The density curve of X is symmetric about 0. (b) If we...

1 we conduct a hypothesis test of H0: = 180 vs Ha: > 180 to determine whether the true mean height of all MLB players is greater than 180 cm. The mean height of random sample of 25 major league...

MULTIPLE CHOICE Direction: Read and analyze each of the questionslsitnaons given. Shade only the circle(s) of the correct answer in the answer sheet. 1. 3. It is a function that associates a...

Midterm #2 - Spring 2016 - PSTAT 109 May 20, 2016 Test Form B Name (Please Print) : Seat: Has the person sitting to YOUR RIGHT given you a valid photo ID that matches the one written on the top of...

1 we conduct a hypothesis test of H0: = 180 vs Ha: > 180 to determine whether the true mean height of all MLB players is greater than 180 cm. The mean height of random sample of 25 major league...

NAME: Quantitative Analysis Due: Assignment 5: Sampling Distributions, Estimation, and Confidence Intervals Sampling Distributions Inferential Statistics involves three distributions: A population...

ASAP HELP TO ALL PARTS Question 9 1 pts To simulate inventory management for a particular product, assume that the per period demand is an integer value quantity which follows the normal distribution...

AutoSave OFF OFF A SU Documents a Home Insert Draw Design Layout References Mailings Review View Tell me Share Comments Times New... v v 12 y All code A A Aa A ADA Anklede AalbCcDc AaBECCDH E AaBb...

Determine the reduced Boyle temperature as predicted by an equation of state (the experimentally observed value for most substances is about 2.5), using the van der Waals equation and the...

HSH Sdn Bhd produces handmade shoes for children based in Melaka. There are three workers who are employed to run the production. It is the companys policy to set the normal working hours at 8 hours...

Whats wrong? Explain what is wrong with each of the following: (a) An approximate 99% confidence interval for an unknown proportion p is p plus or minus its standard error. (b) When performing a...

Which of the following deed covenants can only be enforced by the owner of the property against the person who gave the property to him or her? Group of answer choices Covenant of seisin Covenant of...

Compare and contrast long-term and short-term orientation cultures

Discuss the research behind the notion of a pancultural self

Recognize that no culture is purely individualistic or purely collectivistic