Answer: True.
Step-by-step explanation:
Let
be the population mean.
Given : Null hypothesis = 
Alternative hypothesis =
Since , the alternative hypothesis is left-tailed, then the test is a left-tailed test.
The sample mean (
) of the 80 students who were weighed was found to be 142 pounds and the p-value was 0.03.
We know that p-value gives that probability that if the null hypothesis is true, than the sample mean (
) will be at least as small as the actual mean (
).
It means that if the mean of all students’ weight is 160 lbs, then there would be only a 3% chance that a randomly selected group of 80 students would have a mean weight of less than 142 lbs.
Hence, the answer is "True".
Answer:
(3, 3 )
Step-by-step explanation:
Given the 2 equations
3x - y = 6 → (1)
6x + y = 21 → (2)
Adding the 2 equations term by term will eliminate y, that is
(6x + 3x) + (y - y) = (21 + 6), that is
9x = 27 (divide both sides by 9 )
x = 3
Substitute x = 3 into either (1) or (2) and solve for y
Using (2), then
(6 × 3) + y = 21
18 + y = 21 ( subtract 18 from both sides )
y = 3
Solution is (3, 3 )
First one is wrong bcs it should be smaller than the answer.
The second one is correct bcs to find the second number we need to do inverse operation, here is subtraction.
Third one is correct bcs this is the same (but if u r searching only for relating not same, then the third kind of wrong)
The last one is correct
Answer:
By substituting x and y vars with that in (x, y)
Step-by-step explanation:
2 * (-3) + 3 * 4 = 6 solution
2 * 0 + 3 * (-2) = -6 not solution