Suppose a pyramid’s dimensions are tripled. What is the ratio of this new, larger pyramid’s volume to that of the original pyram
2 answers:
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Answer:
a)
b)
c)
Step-by-step explanation:
Part a
For this case the satterthwaite approximation is given by:
And if we replace we got:
Part b
Data given and notation
represent the mean for 1
represent the mean for 2
represent the sample standard deviation for 1
represent the sample standard deviation for 2
sample size for 1
sample size for 2
t would represent the statistic (variable of interest)
represent the p value
Concepts and formulas to use
We need to conduct a hypothesis in order to check if the mean for men it's higher than the mean for women, the system of hypothesis would be:
H0:
H1:
If we analyze the size for the samples both are lower than 30, and we don't know the population deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:
(1)
T-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.
Calculate the statistic
We have all in order to replace in formula (1) like this:
P value
For this case since we have a bilateral test and since we know the degrees of freedom calculated form part a we can find the p value like this:
And since the we have enough evidence to reject the null hypothesis at 5% of significance.
Part c
The margin of error for this case is given by:
We can find the critical value with the following excel formula:
"-=T.INV(0.025;8)"
And if we replace we got: