9 students
30% ends up being .3%, multiply .3% by 30 students which equals 9.
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:
A m = 48
B x = -24
C x = 16
Step-by-step explanation:
A. 1/6m - 3 = 5
1/6m = 5+3
1/6m = 8
multiply both side by 6
m = 8×6
m = 48
B. 2/3x-3 = 1/2 x-7
2/3 x - 1/2 x = -7 +3
1/6 x = -4
multiply 6 to the both side
x = -4×6
x= -24
C.x+x/2-4= x/4
x+x/2 - x/4 = 4
x + l/2 x - 1/4 x = 4
1/4 x = 4
multiply both side by 4
x= 4×4
x = 16
3445 divided by 13 is 265.
