Sidney cuts 6 slices of bread. She splits them evenly among p plates. Write an expression that shows how many slices are on each
1 answer:
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Answer:
If we compare the p value and the significance level provided we see that so on this case we have enough evidence in order to reject the null hypothesis at the significance level provided. And that means that the population variance is significantly lower than 9
Step-by-step explanation:
Notation and previous concepts
A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"
represent the sample size
represent the confidence level
represent the sample deviation obtained
represent the value that we want to test
Null and alternative hypothesis
On this case we want to check if the population variance specification is lower than 9 and the deviation lower than 3, so the system of hypothesis would be:
Null Hypothesis:
Alternative hypothesis:
Calculate the statistic
For this test we can use the following statistic:
And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.
Calculate the p value
In order to calculate the p value we need to have in count the degrees of freedom , on this case df= n-1= 35-1=34. And since is a left tailed test the p value would be given by:
In order to find the p value we can use the following code in excel:
"=CHISQ.DIST(16.979,34,TRUE)"
Conclusion
If we compare the p value and the significance level provided we see that so on this case we have enough evidence in order to reject the null hypothesis at the significance level provided. And that means that the population variance is significantly lower than 9
Answer:
The system of equations is:
Here a is the number of adult tickets and s is the number of student tickets
Step-by-step explanation:
We will use the given statements to make a system of equations for the given scenario.
First of all we have to decide which variables to be used.
Let a be the number of adult tickets and
Let s be the number of student tickets
So according to the statement that the department sold 250 tickets in total, the equation will be:
This is equation one of the system of equations
According to the statement that cost of adult ticket is $5, total cost of adult tickets will be:
According to the statement that cost of student ticket is $2.50, total cost of student tickets will be:
The total earning was $837.50 so the second equation will be:
Hence,
The system of equations is:
Here a is the number of adult tickets and s is the number of student tickets