What conditions must be met for conducting a two-sample t test for the means?

Donna Flynn 2022-07-21 Answered
What conditions must be met for conducting a two-sample t test for the means?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

berouweek
Answered 2022-07-22 Author has 11 answers
Conditions for conducting two sample t-test for means:
1.) Parent populations from which samples are drawn are normally distributed.
2.) The two samples are random and independent of each other.
3.) Population variances are equal and unknown.
For validity of t-test we should check the equality of variances with the help of F-test for equality of variances. If the hypothesis is rejected then we cannot apply t-test. In such cases we apply Behren's d-test.
But for practical problems the assumptions 1.) and 3.) are taken to be true.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2020-10-25

A population of values has a normal distribution with μ=239.5 and σ=32.7. You intend to draw a random sample of size n=139.
Find the probability that a sample of size n=139 is randomly selected with a mean greater than 235.9.
P(M>235.9)=?
Write your answers as numbers accurate to 4 decimal places.

asked 2021-10-08

Systems of Inequalities Graph the solution set of the system if inequalities. Find the coordinates of all vertices, and determine whether the solution set is bounded.
{y<9x2yx+3

asked 2021-01-08
Give a correct answer for this question In order to compare the relationship between two categorical variables, the best inference technique is ?
asked 2022-03-01
A flight attendant selects a random sample of 201 travelers. For each, he records the class in which the person travels and whether they have carry-on luggage. He would like to know if there is convincing evidence that the class in which a person travels is associated with having carry-on luggage. Let α=0.05.
What are the hypotheses for this test?
a.H0: Class is not independent of carry-on luggage. Hα: Class is independent of carry-on luggage.
b. H0: Class is independent of carry-on luggage. Hα: Class is not independent of carry-on luggage.
c. H0: There is an association between class and carry-on luggage. Hα: There is no association between class and carry-on luggage.
d. H0: The proportion of travelers who have carry-on luggage is not the same in the types of class. Hα: The proportion of travelers who have carry-on luggage is the same in the types of class.
asked 2021-05-02
Let X and Y be jointly continuous random variables wth joint PDF is given by:
fX,Y(x,y)=2 where 0yx1
Find P(X12).
asked 2021-05-19
Use the row of numbers shown below to generate 12 random numbers between 01 and 99.
78038 18022 84755 23146 12720 70910 49732 79606
Starting at the beginning of the row, what are the first 12 numbers between 01 and 99 in the sample?
asked 2022-04-16
How do the different measures of center compare?