What is the decision at a 0.05 level of significance for each of the following tests? F(3, 26) = 3.00 Retain or reject the null hypothesis? F(4, 55) =

Tobias Ali 2021-01-24 Answered
What is the decision at a 0.05 level of significance for each of the following tests?
F(3, 26) = 3.00
Retain or reject the null hypothesis?
F(4, 55) = 2.54
Retain or reject the null hypothesis?
F(4, 30) = 2.72
Retain or reject the null hypothesis?
F(2, 12) = 3.81
Retain or reject the null hypothesis?
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

Expert Answer

okomgcae
Answered 2021-01-25 Author has 93 answers
Step 1
From the provided information,
Level of significance (α)=0.05
F (3, 26) = 3.00
The critical value of F at 3 and 26 degrees of freedom from the F value is 2.98.
Since, the test statistic value is greater than critical value, therefore, the null hypothesis will be rejected.
Step 2
F (4, 55) = 2.54
The critical value of F at 4 and 55 degrees of freedom from the F value is 2.54.
Since, the test statistic value is equal to the critical value, therefore, the null hypothesis will fail to reject.
Step 3
F (4, 30) = 2.72
The critical value of F at 4 and 30 degrees of freedom from the F value is 2.69.
Since, the test statistic value is greater than critical value, therefore, the null hypothesis will be rejected.
Step 4
F (2, 12) = 3.81
The critical value of F at 4 and 55 degrees of freedom from the F value is 3.89.
Since, the test statistic value is less than critical value, therefore, the null hypothesis will fail to reject.
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

Relevant Questions

asked 2022-03-31
Suppose that you want to do statistical significance tests for four correlations and you want your to be .05. What would you use if you apply the Bonferroni procedure?
asked 2020-12-07
Hypothesis Testing Review
For each problem below, simply identify the null and alternative hypotheses. Use appropriate notation/symbols. You do not have to run any hypothesis tests, although its
asked 2022-03-04
A college professor randomly selects 25 freshmen to study the mathematical background of the incoming freshman class. The average SAT score of these 25 students is 565 and the standard deviation is estimated to be 40. Using this information, can this professor fully believe that the average test score of all incoming students is larger than 550 at a 5% level of significance?
asked 2021-12-17
For a test of Ho: p = 0.5, the z test statistic equals -1.74. Find the p-value for Ha: p < 0.5.
a. 0.0892
b. 0.0446
c. 0.0409
d. 0.9554
e. 0.0818
asked 2022-04-24
In your own words, distinguish between measures of association and tests of statistical significance.
asked 2022-03-16
Based on a small sample, a significance test may not yield a statisticallysignificant outcome even if the true value is considerably different fromthe null value. This outcome is also known as?
- significance level
- type I error
- type ll error
- power of the test
asked 2022-05-08
Why does one counterexample disprove a conjecture?
Can't a conjecture be correct about most solutions except maybe a family of solutions?
For example, a few centuries ago it was widely believed that 2 2 n + 1 is a prime number for any n . For n=0 we get 3 , for n=1 we get 5 , for n=2 we get 17 , for n=3 we get 257 , but for n=4 it was too difficult to find if this was a prime, until Euler was able to find a factor of it. It seems like this conjecture stopped after that.
But what if this conjecture isn't true only when n satisfies a certain equation, or when n is a power of 2 4 , or something like that? Did anybody bother to check? I am not asking about this conjecture specifically, but as to why we consider one counterexample as proof that a conjecture is totally wrong.P.S. Andre Nicolas pointed out that Euler found a factor when n=5, not 4 .