Mayumi hikes 3 miles in 2 hours. Edwin hikes 4 miles in 3 hours. Who takes more time to complete a 12 mile hiking trail? How muc
1 answer:
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Answer:
Step-by-step explanation:
<h3> The complete exercise is attached.</h3>You can observe in the picture attached that the box is a rectangular prism.
The volume of a rectangular prism can be found with this formula:
Where "l" is the length, "w" is the width and "h" is the height.
You know that the lenght of each side of those cubes is 1 centimeter. Therefore, you can multiply the number of cubes on each side of the box by 1 centimeter in order to find the lenght, the width and the height of the box:
Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:
Finally, evaluating, you get that the volume of the box is:
Answer:
Comparing the p value with a significance level for example we see that
so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the mean for the Campus 1 is significantly higher than the mean for the group 2.
Step-by-step explanation:
Data given
Campus Sample size Mean Population deviation
1 330 33 8
2 310 31 7
represent the mean for sample 1
represent the mean for sample 2
represent the population standard deviation for 1
represent the population standard deviation for 2
sample size for the group 1
sample size for the group 2
Significance level provided
z would represent the statistic (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to check if the mean for Campus 1 is higher than the mean for Campus 2, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We have the population standard deviation's, and the sample sizes are large enough we can apply a z test to compare means, and the statistic is given by:
(1)
z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
With the info given we can replace in formula (1) like this:
P value
Since is a one right tailed test the p value would be:
Comparing the p value with a significance level for example we see that
so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the mean for the Campus 1 is significantly higher than the mean for the group 2.