Max is taking a cab in New York City. The fair is calculated as a base charge of $3.00 plus an additional $2.00 per mile travele
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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.
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Let the smaller number be x.
Given, the larger number is 7 times the smaller number.
So, the larger number = 7x.
Given, 3 times the larger number is 7 more than 4 times the smaller number.
So we can write the equation as,
Now we have to move 4x to the left side by subtracting 4x from both sides.
To get x, we will divide both sides by 17. We will get,
So the smaller number =
The larger number = =
So we have got the required numbers.
Smaller number = and larger number =
.