Answer:
Part 1) The length of the new rectangle is
Part 2) The area of the new rectangle is
Step-by-step explanation:
we know that
If two rectangles are similar, then the ratio of its corresponding sides is proportional
step 1
Find the length of the new rectangle
Let
L-----> the length of the new rectangle
step 2
Find the area of the new rectangle
we know that
The area of the rectangle is
we have
substitute
Answer:
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Part 2
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
Since is a two sided test the p value would be:
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.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
Part 1
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 and we know the population deviation so 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".
Part 2
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
Since is a two sided test the p value would be: