Testing the difference between two sample means-illustration, Mathematics

Assignment Help:

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.


Related Discussions:- Testing the difference between two sample means-illustration

Determining and classifying all the critical points, how do you determine ...

how do you determine and classify all the critical points of a function

Who made clothes for, on april 26, jonh dough wrote a check#374 to Miller P...

on april 26, jonh dough wrote a check#374 to Miller Pharmacy for $16.00 , is this a deposit or withdrawal

Integration and differentiation, Integration and Differentiation Diffe...

Integration and Differentiation Differentiation deals along with the determination of the rates of change of business activities or merely the process of finding the derivativ

Subtraction - vector arithmetic, Subtraction - Vector arithmetic Compu...

Subtraction - Vector arithmetic Computationally, subtraction is very similar.  Given the vectors a → = (a 1 , a 2 , a 3 ) and b → = (b 1 , b 2 , b 3 ) the difference of the t

How to convert decimals to percentages, Q. How to Convert Decimals to Perce...

Q. How to Convert Decimals to Percentages? Ans. Remember that when you have a decimal number, the digits to the right of the decimal point have the following meaning:

Example of probability, Example of Probability: Example: By using...

Example of Probability: Example: By using a die, what is the probability of rolling two 3s in a row? Solution: From the previous example, there is a 1/6 chance of

Decomposing polygons to find area, find the area of this figure in square m...

find the area of this figure in square millimeter measure each segment to the nearest millmeter

Applications of rational numbers, Kaylee makes 56 packages in seven hours T...

Kaylee makes 56 packages in seven hours Taylor makes 20% more packages in nine hours who makes more packages per hour

In sequence to remain the pole perpendicular to the ground, A cable is atta...

A cable is attached to a pole 24 ft above ground and fastened to a stake 10 ft from the base of the pole. In sequence to remain the pole perpendicular to the ground, how long is th

Equation of a straight line, In a two dimensional case, the form of t...

In a two dimensional case, the form of the linear function can be obtained if we know the co-ordinates of two points on the straight line. Suppose  x' and  x"  are two

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