Estimation of difference among two means-illustration, Mathematics

A comparison of the wearing out quality of two types of tyres was obtained by road testing. Samples of 100 tyres were collected. The miles traveled until wear out were recorded and the results given were as follows

Tyres                           T1                                T2

Mean                x¯1 = 26400 miles        x¯2 = 25000 miles

Variance          S21= 1440000 miles    S22= 1960000 miles

Determine a confidence interval at the confidence level of 70 percent

Solution

1 = 26400

2 = 25000

Difference between the two means

(x¯1 - x¯2)  = (26400 - 25000)

= 1,400

Again we consider the absolute value of the difference among the two means

We calculate the standard error as given below:

 S(A - x¯B) = √{(s21/n1) + (s22/n2)}

            = √{(1,440,000/100) + (1,960,000/100)}

= 184.4

Confidence level at 70 percent is read from the normal tables as 1.04 (Z = 1.04).

Thus the confidence interval is calculated as given below:

= 1400 ± (1.04) (184.4) 

= 1400 ± 191.77

or (1400 - 191.77) to (1400 + 191.77)

1,208.23 ≤ X ≤ 1591.77

Posted Date: 2/19/2013 12:33:03 AM | Location : United States







Related Discussions:- Estimation of difference among two means-illustration, Assignment Help, Ask Question on Estimation of difference among two means-illustration, Get Answer, Expert's Help, Estimation of difference among two means-illustration Discussions

Write discussion on Estimation of difference among two means-illustration
Your posts are moderated
Related Questions
how it is

Find out the roots of the subsequent pure quadratic equation: Find out the roots of the subsequent pure quadratic equation. 4x 2 - 100 = 0 Solution: Using Equation

Solve the subsequent IVP and find the interval of validity for the solution xyy' + 4x 2 + y 2 = 0,       y(2) = -7,          x > 0 Solution: Let's first divide on both


LARGE SAMPLES These are samples that have a sample size greater than 30(that is n>30) (a)   Estimation of population mean Here we suppose that if we take a large sample

show that a*0=a

This topic is specified its own section for a couple of purposes. Firstly, understanding direction fields and what they tell us regarding a differential equation as well as its sol

A valid identifier in the programming language FORTAN contains a string of one to six alphanumeric characters (the 36 characters A, B,...., Z, 0, 1,...9) starting with a letter. De

Rob purchased picnic food for $33.20 to share along with three of his friends. They plan to split the cost evenly among the four friends. How much does every person required to pay

Find the distance between the points (b + c, c + a) and (c + a, a + b) . Ans : Use distance formula