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
Let R be the relation on S = {1, 3, 6, 9, 27} defined by aRb iff a|b. (a) Write down the matrix of R. (b) Draw the digraph of R. (c) Explain whether R is reflexive, irrere

if oranges are bought at the rate of 11 for rupees 10 and are sold at the rate of 10 for rupees 11, find the profit percent


0+50x1-60-60x0+10=

Explain the Algebraic Expressions and Equations? Writing a math problem algebraically means that you are using numbers and variables to represent relationships. "Three inche

Graph y = cos (x) Solution: There actually isn't a whole lot to this one.  Given the graph for -4 ? ≤ x ≤ 4 ? . Note that we can put all values of x in cosine (that wo


What is the slope of the line tangent to f(x)=3-2 ln(2x^2+4) at the point (4, f(4))

1. Solve the right triangle. B = 135     c = 3.72 A  ≈ ____°    (round to the nearest tenth as needed) 2.  Solve the right triangle, where  a =4 and b =10 The length of

111111-11111=