How do I do this????????
1 answer:
Answer:
See below.
Step-by-step explanation:
The first rectangle is 8 by 10. Cutting it in half once will give a rectangle 8 by 5 because 10/2 = 5. The area will be 8*5 = 40. The next will be 8 by 2.5. The area will be 8*2.5=20 and so on. Fill out the table by multiplying the side lengths to find the area.
Number of Cuts Process Area
0 8*10 80
1 8*5 40
2 8*2.5 20
3 8*1.25 10
4 8*0.75 5
5 8* 0.375 2.5
6
......
n 8*10(1/2)^n
To graph, graph as (0,80) where 0 is the number of cuts and 80 is the area. Then graph (1,40) and (2,20) etc. It will create a curve like the graph attached.
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Answer:
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly lower than 10 minutes.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is less than 10 minutes, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, 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 if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
Since is a left tailed test the p value would be:
Conclusion
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly lower than 10 minutes.