If two samples are selected from the same population, the two samples have exactly the same t statistics if the samples are same size and have the same variance and mean
The t-statistic is the ratio of the departure of the estimated value of a parameter from its hypothesized value to its standard error.
Variance is the expectation of the squared deviation of a random variable from its population mean or sample mean.
Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers
Hence, If two samples are selected from the same population, the two samples have exactly the same t statistics if the samples are same size and have the same variance and mean
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Let the amount of shells collected by Aaron be
and the amount of shells collected by Maria be
respectively. Then the following system of equations should be solved:
First of all, express
out of first equation:
Then, replace
in second equation with found expression and solve it:
Finally, replace
in first equation with found value and solve it too:
So, Aaron has found
7 shells while Maria has found
21.
Answer:
x≤-3 2 ≤x<7
Step-by-step explanation:
(x^2+x-6) /(x-7) ≤0
Factor the numerator
(x+3)(x-2) / (x-7)≤0
Critical points are
X =-3 X =2 X=7
We need to check the values when
x≤3 -3 ≤ x≤2 2 ≤x<7 x>7
(x cannot be 7 because then the denominator is zero)
and see when it is less than 0
Substitute a value in and see if factor is positive or negative
x≤-3
(negative)(negative) / (negative) = negative
-3 ≤x≤2
(positive)(negative) / (negative) = positive this range does not work
2 ≤x<7
(positive)(positive) / (negative) = negative
x>7
(positive)(positive) / (positive)
Answer:
10 hours
Step-by-step explanation:
shara takes L
Answer:
Step-by-step explanation:
Probability=(number of specific outcomes)/(total number of outcomes)
Since there are 4 comedies and 3+4+5=12 total movies
P(C)=4/12=1/3
