Answer:
5
Step-by-step explanation:
For an equation to be dimensionally correct the dimension of quantities on both sides of equation must be same.
Also, two physically quantities can only be added or subtracted only when their dimension are same.
here all option are dimensionally correct except the 5th option where
dimension of t= [T] whereas dimension of a/v is
= T^{-1}
since, the dimension of quantities on either sides of equation are not the same the equation is dimensionally is incorrect.
The test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.
<h3>What are null hypotheses and alternative hypotheses?</h3>In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics course.
Then they are given a post-test once the professor has concluded lecturing on the material.
Pre-test and post-test scores for 4 students in an elementary statistics class are given below.
Then we have
Then the null hypotheses and alternative hypotheses will be
H₀:
Hₐ:
Then the test statistic will be
Then
The test statistic value is given by
Since this is a right-tailed test, so the critical value is given by
Since the test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.
Hence, we can conclude that that is test scores have improved.
More about the null hypotheses and alternative hypotheses link is given below.
#SPJ1
