For a field trip 27 students rode in cars and the rest filled three buses. How many students were in each bus if 147 students we
2 answers:
You might be interested in
Answer:
a)
The null hypothesis is
The alternative hypothesis is
b-1) The value of the test statistic is t = 1.86.
b-2) The p-value is of 0.0348.
Step-by-step explanation:
Question a:
Test if the battery life is more than twice of 5 hours:
Twice of 5 hours = 5*2 = 10 hours.
At the null hypothesis, we test if the battery life is of 10 hours or less, than is:
At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:
b-1. Calculate the value of the test statistic.
The test statistic is:
We have the standard deviation for the sample, so the t-distribution is used to solve this question
In which X is the sample mean, is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
10 is tested at the null hypothesis:
This means that
In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.
This means that
Then
The value of the test statistic is t = 1.86.
b-2. Find the p-value.
Testing if the mean is more than a value, so a right-tailed test.
Sample of 45, so 45 - 1 = 44 degrees of freedom.
Test statistic t = 1.86.
Using a t-distribution calculator, the p-value is of 0.0348.
Answer: x-intercepts are ( 2.775,0) and (5.225,0)
And y-intercept is (0,-29)
Step-by-step explanation:
Here the given equation is,
For x-intercept, y = 0,
Put y = 0 in the above equation of parabola,
We get,
By solving this equation,
We get, x = 2.775 or x = 5.225
Therefore, x-intercept of the given parabola are (2.775, 0) and (5.225,0)
Now, for y-intercept, x = 0
By putting x = 0 in the given equation of parabola,
We get, y = -29
Thus, y-intercept of the given parabola = (0,-29)