Step-by-step explanation:
H0: u = 150
H1: u ≠ 150
Total sum = 15933.24
N = 100
Mean = 15933.24/100
= 159.3324
σ² = 25954.03 - (159.3324)²/100
σ² = 556.213
σ = √556.213
σ = 23.8162
Testing hypothesis
t = (bar x - u)/ σ/√n
= 159.3324-150/23.8162/√100
= 3.91
We will have a p value of 0.02
0.0002 < 0.01
We reject null hypothesis at 1% level of significance
C. Mean = 159.3324
Se= 2.3936
Df = 100-1 = 99
Critical value at 0.01 = +-2.626
T = x-u/s.e
= -2.626 =( x -150)/2.3936
When we cross multiply and solve this
X = 143.714 for the lower tail
2.626 = (x-159)/2.3936
= 156.286 for upper tail.
We therefore reject H0 at
Bar X <= 143.71
Bar X >= 156.286
At 10%
Critical t = 1.660
-1.660 = (x - 150)/2.3936
Solving this ,
X =146.02 at the lower tail
1.660 = (x-150)/2.3936
X = 153.97
We reject H0 at
X<= 146.03
X>=153.97
Answer:
The slope is 4
The y-intercept is 3 OR (0, 3)
Step-by-step explanation:
Points on the graph: ( -1, -1) and (0,3)
Slope:
m=(y2-y1)/(x2-x1)
m=(3+1)/(0+1)
m=4/1
m = 4
Point slope-intercept:
y - y1 = m(x - x1)
y + 1 = 4(x + 1)
y + 1 = 4x + 4
y = 4x + 3
Answer: 
Step-by-step explanation:
By the negative exponent rule, you have that:
By the exponents properties, you know that:
Therefore, you can rewrite the left side of the equation has following:
Descompose 32 and 8 into its prime factors:
Rewrite:
Then:
As the base are equal, then:
Solve for x:
Answer:
The driver took shorter than estimated
It took shorter by 2 hours( 120
minutes)
Step-by-step explanation:
Firstly we want to know if the drive took longer or shorter
By 2 days, the number of hours will be 2 * 24 = 48 hours ( recall 24 hours = 1 day
now , since 60 minutes give one hour, then 48 hours will me 60 * 48 = 2,880 hours
This is less than 3,000 hours
By how much?
Simply subtract the value of minutes in 48 hours from 3,000 = 3000-2880 = 120 minutes ( or two hours)
