Answer:
We fail to reject H0; Hence, we conclude that there is no significant evidence that the mean amount of water per gallon is different from 1.0 gallon
Pvalue = - 2
(0.98626 ; 1.00174)
Since, 1.0 exist within the confidence interval, then we can conclude that mean amount of water per gallon is 1.0 gallon.
Step-by-step explanation:
H0 : μ= 1
H1 : μ < 1
The test statistic :
(xbar - μ) / (s / sqrt(n))
(0.994 - 1) / (0.03/sqrt(100))
-0.006 / 0.003
= - 2
The Pvalue :
Pvalue form Test statistic :
P(Z < - 2) = 0.02275
At α = 0.01
Pvalue > 0.01 ; Hence, we fail to reject H0.
The confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 99% confidence level = 2.58
Margin of Error = 2.58 * 0.03/sqrt(100) = 0.00774
Confidence interval :
0.994 ± 0.00774
Lower boundary = (0.994 - 0.00774) = 0.98626
Upper boundary = (0.994 + 0.00774) = 1.00174
(0.98626 ; 1.00174)
Answer:
169 sq. units
Step-by-step explanation:
If the perimeter of a square is 52, then one of its side lengths will be 13. This is because the side lengths of a square are all equal: you can find the length of one side by just dividing the perimeter by 4. Now that you have the length of one side, you can find the area of a square by multiplying said length by itself. 13 x 13 = 169.
Answer:
10x+2
Step-by-step explanation:
creo que es esa no se si esta bien
Answer:
The value of x = 9
Step-by-step explanation:
∵ The figure has right angle and a line ⊥ from the right angle to the hypotenuse
∴ There is a relation between the ⊥ line and the two parts of the hypotenuse
∴ (⊥)² = multiplication of the two parts of the hypotenuse
∴ (6)²= 4 × x
∴ 36 = 4 × x
∴ x = 36/4 = 9
Answer:
sometimes
Step-by-step explanation:
it can be only possible in case of obtuse triangle.
