Testing the difference between two sample means-illustration, Mathematics

An observation was made concerning reading abilities of males and females. The observation leads to a conclusion that females are faster readers than males. The observation was based upon the times taken by both males and females when reading out a list of names throughout graduation ceremonies.

In order to investigate into the observation and the consequent conclusion a sample of 200 men were described lists to read. On average each man took 63 seconds along with a standard deviation of 4 seconds

A sample of 250 women were taken and asked also to read the similar list of names. This was found that they on average took 62 seconds along with a standard deviation of 1 second.

Required

By conducting a statistical hypothesis testing at 1 level of significance establish whether the sample data obtained does support earlier observation or not

Solution

H0: µ1 = µ2

H1: µ1 ≠ µ2

Critical values of the two tailed test is at 1 percent level of significance is 2.58.

Z = (x¯1 - 2)/S(x¯1 - 2)

Z = ¦ {(63 - 62)/√ ((42/200) + (12/250))} ¦

= 3.45

                   1717_Testing The Difference Between Two Sample Means-Illustration.png

As 3.45 > 2.33 reject the null hypothesis but accept the alternative hypothesis at 1 percent level of significance that is there is a significant difference among the reading speed of females and males, thus females are actually faster readers.

Posted Date: 2/19/2013 1:37:00 AM | Location : United States







Related Discussions:- Testing the difference between two sample means-illustration, Assignment Help, Ask Question on Testing the difference between two sample means-illustration, Get Answer, Expert's Help, Testing the difference between two sample means-illustration Discussions

Write discussion on Testing the difference between two sample means-illustration
Your posts are moderated
Related Questions
What are some of the interestingmodern developments in cruise control systems that contrast with comparatively basic old systems


1,5,14,30,55 find the next three numbers and the rule

Arc Length for Parametric Equations L = ∫ β α √ ((dx/dt) 2 + (dy/dt) 2 ) dt Note: that we could have utilized the second formula for ds above is we had supposed inste

Twins Olivia and Chelsea and their friend Rylee were celebrating their fourteenth birthdays with a party at the beach. The first fun activity was water games. As Nicole arrived, sh

Smith keeps track of poor work. Often on afternoon it is 5%. If he checks 300 of 7500 instruments what is probability he will find less than 20 substandard?

can you help me with math

The value of K for (k+1)x^2-2(k-1)x+1 = 0 has real and equal roots.

We can define the conditional probability of event A, given that event B occurred when both A and B are dependent events, as the ratio of the number of elements common in both A an

INSTRUCTIONS: Construct a regular proof to derive the conclusion of the following argument: 1. H v (~T > R) 2. Hv (E > F) 3. ~T v E 4. ~H & D / R v F INSTRUCTIONS: Con