Answer:
Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds
Step-by-step explanation:
State the null hypothesis
H0: u = 60against the claim
Ha u≠ 60 (this is a two tailed test)
Sample size n= 36
Sample mean=X`= 55
Population mean = u= 60
The significance level α = 0.05
Standard deviation= Sd = 22 seconds
Z= X`- u / Sd /√n
Z= 55- 60 / 22/√6
z= - 5/22/6
Z= -1.3635
The value of z from the table is Z∝/2= ±1.96
The critical region is less than - 1.96 and greater than 1.96.
Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds
I think not sure but i think the discout is $5.76
Answer: the price of 1 yard of chicken wire is $2
Step-by-step explanation:
Let x represent the cost of one yard of landscaping fabric.
Let y represent the cost of one yard of chicken wire.
Charlotte pays $24 for 3 yards of landscaping fabric and 6 yards of chicken wire. This means that
3x + 6y = 24 - - - - - - - - - - 1
Kami pays $30 for 6 yards of landscaping fabric and 3 yards of chicken wire. This means that
6x + 3y = 30 - - - - - - - - -2
Multiplying equation 1 by 6 and equation 2 by 3, it becomes
18x + 36y = 144
18x + 9y = 90
Subtracting
27y = 54
y = 54/27 = 2
Substituting y = 2 into equation 1, it becomes
3x + 6×2 = 24
3x = 24 - 12 = 12
x = 12/3 = 4