Estimation of difference among two means-illustration, Mathematics

Assignment Help:

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


Related Discussions:- Estimation of difference among two means-illustration

Activity on Node, schedulling problem with variability in task times

schedulling problem with variability in task times

Craig D, i need help in discrete mathematics on sets, relations, and functi...

i need help in discrete mathematics on sets, relations, and functions.

Real numbers, how to present root numbers on a number line

how to present root numbers on a number line

Determine the minimum cost , A company is taking bids on four construction ...

A company is taking bids on four construction jobs. Three Contractors have placed bids on the jobs. Their bids (in thousands of dollars) are given in the file. (A blank indicates n

#i need help on my math homework its on algabraitle.., The question is: If ...

The question is: If 0.2 x n = 1.4,what is the value of n.

Positive exponents, Simplify following and write the answers with only posi...

Simplify following and write the answers with only positive exponents.   (-10 z 2 y -4 ) 2 ( z 3 y ) -5 Solution    (-10 z 2 y -4 ) 2 ( z 3 y ) -5

To find out the perimeter of a triangular give formula, To find out the per...

To find out the perimeter of a triangular region, what formula would you use? The perimeter of a triangle is length of surface a plus length of side b plus length of side c.

Example of function, Example  Suppose the demand and cost functio...

Example  Suppose the demand and cost functions are given by          Q = 21 - 0.1P and C = 200 + 10Q Where,          Q - Quantity sold

Fractions, how to add a fraction with an uncommon denomoninator

how to add a fraction with an uncommon denomoninator

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd